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Articles 181 - 210 of 1374
Full-Text Articles in Physical Sciences and Mathematics
Theoretical Description Of The Two-Color Photoelectron Spectra Process Of Hydrogen: Comparison Between Tdse Calculation And Kroll And Watson Approach, Souhaila Chaddou, Soumia Chqondi, Abdelmalek Taoutioui, Abdelkader Makhoute
Theoretical Description Of The Two-Color Photoelectron Spectra Process Of Hydrogen: Comparison Between Tdse Calculation And Kroll And Watson Approach, Souhaila Chaddou, Soumia Chqondi, Abdelmalek Taoutioui, Abdelkader Makhoute
Turkish Journal of Physics
We present a theoretical study of the main characteristics of two-color photoionization of hydrogen atoms by short strong laser pulses. Our numerical approach is performed by numerically solving the time-dependent Schrödinger equation for a hydrogen atom interacting with Ti:sapphire laser radiation combined with its 15th harmonic. The energy spectra obtained by the direct numerical solution of the Schrödinger equation are compared with those given by the Kroll and Watson perturbative approach. This comparison allows us to check the reliability of the latter approximation.
Nonlinear Frequency Conversion Of Light Inside A Microcavity, Emre Yüce
Nonlinear Frequency Conversion Of Light Inside A Microcavity, Emre Yüce
Turkish Journal of Physics
Changing the color of light in a small mode volume is essential for applications that require on-chip operation. Microcavities are profound structures given their property to confine light in a small mode volume. Here, I numerically investigate the frequency conversion of light in a microcavity and show that the frequency converted light intensity is distinguished from an open medium such as an optical fiber or a nonlinear crystal. I observe that the frequency converted light intensity increases with increased rate of change of the refractive index of the microcavity. Notably, this study shows that the intensity of the frequency converted …
Application Of The Fractional Oscillator Model To Describe Damped Vibrations, Sergo Rekhviashvili, Arsen Pskhu, Praveen Agarwal, Shilpi Jain
Application Of The Fractional Oscillator Model To Describe Damped Vibrations, Sergo Rekhviashvili, Arsen Pskhu, Praveen Agarwal, Shilpi Jain
Turkish Journal of Physics
We consider a model of damped vibrations based on fractional differentiation. The model given is completely consistent with the classical model of vibration with viscous damping. We find the relation between the order of fractional differentiation in the equation of motion and Q-factor of an oscillator. The proposed approach seems more appropriate for the physical nature of the described system. The experiment with a vibrating piezoelectric plate, performed as part of the study, showed good agreement with the model and confirmed that the fractional oscillator model can be used to describe strongly damped vibrations.
Emission Processes Of The Interaction Between The Quantum Well And Donor Delta Layer In Heterostructures For Phemts, Yana Ivanova, George Yakovlev, Vasily Zubkov, Anna Solomnikova
Emission Processes Of The Interaction Between The Quantum Well And Donor Delta Layer In Heterostructures For Phemts, Yana Ivanova, George Yakovlev, Vasily Zubkov, Anna Solomnikova
Turkish Journal of Physics
We present experimental and theoretical investigations of pHEMT heterostructures with AlGaAs/InGaAs/GaAs quantum wells (QWs) and/or a delta-doped layer, which can be used as active regions in transistors operating in the 4-18 GHz frequency range. Using the electrochemical capacitance-voltage setup ECV Pro we, for the first time, experimentally observed a concentration peak from the near-surface delta layer of the pHEMT structure together with a peak of QW enrichment. The capacitance of the electrolyte-semiconductor contact was measured by Agilent LCR-meter, which was connected to the electrochemical cell of ECV Pro through a specially designed relay module. Using numerical simulation of the electronic …
Effect Of Annealing Temperature On Structural, Electrical, And Uv Sensingcharacteristics Of N-Zno/P-Si Heterojunction Photodiodes, Şenol Kaya
Turkish Journal of Physics
The aim of this study is to investigate the influences of annealing temperature on initial device characteristics and their correlations with ultraviolet (UV) radiation sensitivity of n-type zinc oxide/p-silicon (n-ZnO/p-Si) heterojunction photodiodes. Evolutions on the crystalline structure, surface morphology, ideality factor, barrier potential, interface state density, and donor concentration were systematically analyzed during the initial device characterizations before testing the UV sensitivities of the photonic devices. The results demonstrate that the sensitivity of each n-ZnO/p-Si photodiode annealed at various temperatures was linearly correlated with different UV illumination intensities. The devices annealed at 750 ºC and 550 ºC exhibit more sensitive …
Comparison Of Geometric And Drive-Induced Nonlinearities In Doubly Clamped,Thermoelastic Nanoelectromechanical Systems, Mehmet Seli̇m Hanay
Comparison Of Geometric And Drive-Induced Nonlinearities In Doubly Clamped,Thermoelastic Nanoelectromechanical Systems, Mehmet Seli̇m Hanay
Turkish Journal of Physics
The performance of resonant sensors based on nanoelectromechanical systems depends critically on the maximum amplitude of oscillation reached in the linear regime. The maximum linear amplitude is determined by nonlinear mechanisms that can originate from the material, geometric and transduction mechanism related factors. Here we compare the two competing effects, the geometric and drive-induced nonlinearities, for a commonly used device family, the thermoelastically driven, doubly clamped beams. We find that the geometric nonlinearity dominates for most of the device designs used in the literature, however the drive-induced nonlinearity becomes the determining factor for thicker beams with small electrode lengths.
Elaboration And Study Of Structural And Optical Properties Of Aubr Nanocrystalsdispersed In Kbr Single Crystals, Hanane Zaioune, Fouzia Zehani, Noureddine Boutaoui, Badis Khennaoui
Elaboration And Study Of Structural And Optical Properties Of Aubr Nanocrystalsdispersed In Kbr Single Crystals, Hanane Zaioune, Fouzia Zehani, Noureddine Boutaoui, Badis Khennaoui
Turkish Journal of Physics
The structural and optical properties of the AuBr nanocrystals embedded in the KBr single crystals grown by the Czochralski method were studied using several techniques. The X-ray diffraction reveals their formation and incorporation. The crystallite average radii calculated from XRD using the Scherrer's formula was found to vary between 19 and 39 nm. The photoluminescence spectra obtained on these same samples present an emission band located at 1.91 eV (650 nm), which can be attributed to the orange luminescence of AuBr nanocrystals. However, the photoluminescence excitation measurements of these nanocrystals exhibit an excitation band located at 3.44 eV (360 nm), …
Determination Of Fluence Rate Distribution In A Multilayered Skin Tissue Model Byusing Monte Carlo Simulations, Hali̇l Arslan, Bahar Pehli̇vanöz
Determination Of Fluence Rate Distribution In A Multilayered Skin Tissue Model Byusing Monte Carlo Simulations, Hali̇l Arslan, Bahar Pehli̇vanöz
Turkish Journal of Physics
Information on light-tissue interaction is important for clinical applications of lasers. The Monte Carlo technique is one of the commonly used methods to simulate photon propagation and to describe energy absorption in biological tissues. In this study, fluence rate distributions of 633 nm and 830 nm light inside a multilayered skin tissue model have been investigated by using two different simulation software programs: GAMOS tissue optics plug-in and MCML. Results of the plug-in for the fluence rate distributions are in very good agreement with the ones from MCML for both of the wavelengths. This shows that GAMOS tissue optics plug-in …
The Hirota-Satsuma Coupled Kdv Hierarchy On Noncommutative Phase-Space, Abdelali Saidi, Moulay Brahim Sedra
The Hirota-Satsuma Coupled Kdv Hierarchy On Noncommutative Phase-Space, Abdelali Saidi, Moulay Brahim Sedra
Turkish Journal of Physics
In the present contribution, the Hirota-Satsuma coupled KdV hierarchy on noncommutative phase-space is investigated using the noncommutative extension of Lax pair generating technique. In particular, the explicit representation of its associated Lax pair operators is constructed. It is shown that the obtained results for phase-space noncommutativity case reduce back to the standard commutative case when θ goes to ½.
The Novel Synthesis And Luminescence Studies Of Cuo And Fe2 O3 Embedded(8-Hydroxyquinoline)Zinc Nanocomposites, Abraham Kutticheril Eapen, Paulose Thomas
The Novel Synthesis And Luminescence Studies Of Cuo And Fe2 O3 Embedded(8-Hydroxyquinoline)Zinc Nanocomposites, Abraham Kutticheril Eapen, Paulose Thomas
Turkish Journal of Physics
The present study investigates the synthesis of novel luminescent polymer nanocomposite through the incorporation of CuO and Fe2 O3 into a C18 H12 N2 O2 Zn host polymer matrix. The observed green electroluminescence behavior originates mainly from the shift in the HOMO-LUMO energy gap of the polymer matrix caused by the inclusion of oxidized metal/oxygen ions from the incorporated metal oxides into the pyridyl and phenyl groups of the host polymer. The existence of oxidized metal/oxygen ionic states in the polymer matrix is successfully confirmed through X-ray photoelectron spectroscopic analysis. The FTIR analysis is utilized to verify the presence of …
Ab Initio Study Of Li2 Cata2 O7 Compound: Electronic And Optical Properties Forthree Phases, Murat Ayci̇bi̇n
Ab Initio Study Of Li2 Cata2 O7 Compound: Electronic And Optical Properties Forthree Phases, Murat Ayci̇bi̇n
Turkish Journal of Physics
The Li2 CaTa2 O7 compound belongs to the Ruddlesden-Popper family of layered perovskites. First principle approximation was used to investigate the electronic band structure and optical properties of the compound for three phases. Independent of the studied compound's structural type, Li2 CaTa2 O7 has semiconductor behavior and direct transition. In addition, the forbidden energy band gap of the compound decreases with rising temperature, as expected. Furthermore, the 3d orbital of Ca contributes to the conduction band due to the crystal field effect. Moreover, the optical response of the chosen axes of the compound to incoming electromagnetic rays varies with phase …
Tracker-Aided Experiments For The Determination Of Viscosity Coefficients Of Liquidsusing The Communicating Vessels Method With Weighted Regression Analysis, Raden Oktova
Turkish Journal of Physics
Tracker-aided experiments using communicating vessels have been performed to determine the viscosity coefficients of liquids at room temperature with weighted linear regression analysis. The calculation involves weighted linear regression analysis of -ln[(2z1/z0) - 1] against time, where z1 and z0 are the instantaneous liquid level and the initial liquid level in one of the vessels with the higher initial liquid level, respectively, and a computer-aided χ2 goodness of fit test. Based on the maximum Reynolds number obtained, it is concluded that the liquid flow was laminar, as required by the theory. From the χ2 goodness of fit test it is …
Reverse-Engineered Scalar Fields In A D-Dimensional Framework, Mustafa Salti, Oktay Aydoğdu, Hi̇lmi̇ Yanar
Reverse-Engineered Scalar Fields In A D-Dimensional Framework, Mustafa Salti, Oktay Aydoğdu, Hi̇lmi̇ Yanar
Turkish Journal of Physics
We are motivated to investigate the dynamics of scalar field dark energy proposals and focus on the reconstruction of a scalar field problem in a D-dimensional framework. With this purpose, we implement a correspondence between the tachyonic scalar field formulation and the additional dimensional cosmological scenario. Such connections help us to redefine the extra dimensional dynamics of the selected scalar field prescription.
Pseudoscalar Higgs Boson Pair Production At A Photon-Photon Collision In Thetwo Higgs Doublet Model, Mehmet Demi̇rci̇
Pseudoscalar Higgs Boson Pair Production At A Photon-Photon Collision In Thetwo Higgs Doublet Model, Mehmet Demi̇rci̇
Turkish Journal of Physics
In this study, the direct pair production of the pseudoscalar Higgs boson at a γγ collision is analyzed in the context of the two Higgs doublet model (THDM), taking into account the complete one-loop contributions. In order to illustrate the effect of the new physics, four benchmark point scenarios, which are consistent with theoretical and current experimental constraints, are chosen in the type-I THDM with an exact alignment limit. The effect of individual contributions from each type of one-loop diagram on the total cross-section is examined in detail. The dependence of the cross-section on the center-of-mass energy is also presented …
First Photometric Investigation Of Some Asas Binary Systems, Burak Ulaş
First Photometric Investigation Of Some Asas Binary Systems, Burak Ulaş
Turkish Journal of Physics
We present the first light curve solutions of the four binary systems observed and catalogued by the All Sky Automated Survey (ASAS) program. The light curves are analyzed by using PHOEBE software, which is based on the Wilson?Devinney method. The light curve parameters are derived and the estimated physical parameters are calculated from the result of the analyses. We compare our targets to well-known binaries of similar type on the Hertzsprung-Russell diagram and mass-radius plane. The evolutionary states of the components are also discussed.
Topography Of Electrospun Nanofibers And Its Influence On (Pot/Ps)/Si Hybridsolar Cell Parameters, Tariq Jaffar Alwan
Topography Of Electrospun Nanofibers And Its Influence On (Pot/Ps)/Si Hybridsolar Cell Parameters, Tariq Jaffar Alwan
Turkish Journal of Physics
Alignment nanofibers of poly(o-toluidine)/polystyrene (POT/PS) were prepared by using an electrospinning method at different applied voltages (Vappl.) of 10, 15, and 20 kV. The effect of the applied voltage on the morphology and electrical properties of POT/PS nanofibers was studied. Morphology and diameters of the nanofibers were investigated via atomic force microscopy. (POT/PS)/Si hybrid solar cells were fabricated through the deposition of POT/PS nanofibers on Si wafers using the electrospinning technique. The current-voltage measurements of the device under dark conditions exhibited asymmetrical and rectifying behavior for the Al/(POT/PS)/Si/Al junction, thereby confirming the formation of diodes. Diode parameters, such as ideality …
Second-Order Gauge-Invariant Perturbation Theory And Conserved Charges Incosmological Einstein Gravity, Emel Altaş Ki̇raci
Second-Order Gauge-Invariant Perturbation Theory And Conserved Charges Incosmological Einstein Gravity, Emel Altaş Ki̇raci
Turkish Journal of Physics
Recently a new approach in constructing the conserved charges in cosmological Einstein gravity was given. In this new formulation, instead of using the explicit form of the field equations, a covariantly conserved rank-four tensor was used. In the resulting charge expression, instead of the first derivative of the metric perturbation, the linearized Riemann tensor appears along with the derivative of the background Killing vector fields. Here we give a detailed analysis of the first-order and the second-order perturbation theory in a gauge-invariant form in cosmological Einstein gravity. The linearized Einstein tensor is gauge-invariant at the first order but it is …
Ab Initio Atomistic Thermodynamics Modeling Of Adsorption Of Oxygen On Goldand Gold-Silver Surfaces, Mehmet Gökhan Şensoy
Ab Initio Atomistic Thermodynamics Modeling Of Adsorption Of Oxygen On Goldand Gold-Silver Surfaces, Mehmet Gökhan Şensoy
Turkish Journal of Physics
A theoretical study of oxygen adsorption on gold and gold-silver surfaces by means of density functional theory (DFT) calculations with an atomistic thermodynamic model is performed. The (111) and (211) facets of gold and gold-silver alloy surfaces are considered, and their stabilization is discussed upon adsorption of oxygen depending on O and Ag coverage. The details of how the DFT-based atomistic thermodynamic model can apply to the transition metal surface are also presented in this work.
Two-Dimensional Ti2c Monolayer (Mxene): Surface Functionalization, Inducedmetal, Semiconductor Transition, Berna Akgenc
Two-Dimensional Ti2c Monolayer (Mxene): Surface Functionalization, Inducedmetal, Semiconductor Transition, Berna Akgenc
Turkish Journal of Physics
Recently, two-dimensional (2D) transition metal carbides and nitrides known as MXenes, have gained a lot of attention because of their tunable electronic and magnetic properties depending on surface functionalization. In the present work, the structural, electronic, and magnetic properties of both T and H phases of bare Ti2C and fully surface terminated Ti2 CT2 (T = -F, = O, -OH) are calculated using a set of first principles calculations. The ground state structures of Ti2 CT2 are computed in two and four different configurations for both H and T phases, respectively. We demonstrate that while H phase of Ti2C exhibits …
Fabrication And Characterization Of Si-Pin Photodiodes, Emre Doğanci, Şenol Kaya, Ali̇ekber Aktağ, Eli̇f Sarigül Duman, Raşi̇t Turan, Huseyi̇n Karacali̇, Ercan Yilmaz
Fabrication And Characterization Of Si-Pin Photodiodes, Emre Doğanci, Şenol Kaya, Ali̇ekber Aktağ, Eli̇f Sarigül Duman, Raşi̇t Turan, Huseyi̇n Karacali̇, Ercan Yilmaz
Turkish Journal of Physics
In this work, characteristics of silicon-based p$^{+\, }$type, intrinsic (I), n$^{-}$ type (Si-PIN) photodiodes with active area of 3.5 $\times $ 3.5 mm$^{2}$, 5.0 $\times $ 5.0 mm$^{2}$, or 7.0 $\times $ 7.0 mm$^{2}$ and their possible usage in optoelectronics were studied. The devices were fabricated in the Radiation Detector Application and Research Center (NÜRDAM) of Bolu Abant İzzet Baysal University, Turkey. To acquire the device specifications, the current-voltage (I-V) and the capacitance-voltage (C-V) measurements were carried out in the photoconductive mode. Quantum efficiency and spectral responsivity measurements were performed in the photovoltaic mode. Both measurements were carried out in …
Various Paths To The Spontaneous Growth Of $P$-Form Fields, Fethi̇ Mübi̇n Ramazanoğlu
Various Paths To The Spontaneous Growth Of $P$-Form Fields, Fethi̇ Mübi̇n Ramazanoğlu
Turkish Journal of Physics
We show that $p$-form fields can go through spontaneous growth due to various couplings in gravity theories, forming a new example of spontaneous tensorization. Generalizing the spontaneous scalarization theory of Damour and Esposito-Farèse where the original idea has been applied to different fields from vectors to spinors has received high levels of interest in recent years. We first review this existing literature on spontaneous growth in gravity, and then apply the known mechanisms to $p$-forms. We show that one can induce spontaneous growth in $p$-forms for each of the regularized instability mechanisms, which was not the case for other types …
Tuning The Electrical And Morphological Characteristics Of Pedot:Pss Films Through Mixed Cosolvent Addition And Performance Of Their Polymer Solar Cells, Çi̇sem Kirbiyik
Tuning The Electrical And Morphological Characteristics Of Pedot:Pss Films Through Mixed Cosolvent Addition And Performance Of Their Polymer Solar Cells, Çi̇sem Kirbiyik
Turkish Journal of Physics
This work aimed to reveal the influence of premixed cosolvent addition to low conductive PEDOT:PSS solution and how the optimized thin film conductivity develops. PEDOT:PSS thin films were obtained by addition of EG and MeOH cosolvent mixture (8, 10, and 15 v/v.%) and the morphological, electrical, optical, and bandgap properties of the films obtained were characterized by different techniques. The addition of mixed cosolvent can effectively control the grain size distribution and thus the conductivity. The optical characterization results revealed that the bandgap decreased with increasing volume of mixed cosolvent. The conductivity characteristics showed that the addition of 10% v/v.% …
A Minimal Fermion-Scalar Preonic Model, Ümi̇t Kaya, Bi̇lgehan Bariş Öner, Saleh Sultanov
A Minimal Fermion-Scalar Preonic Model, Ümi̇t Kaya, Bi̇lgehan Bariş Öner, Saleh Sultanov
Turkish Journal of Physics
A minimal fermion-scalar preonic model containing two fermionic preons and one scalar preon is proposed. This scheme allows prevention of the occurrence of undesired SM-level particles, namely leptons and quarks with unusual electric charges. Similar to the previous FS models, color-octet leptons and color-sextet quarks, which are expected to have masses much lower than the compositeness scale, are predicted. Observation of these particles could provide first indications of preonic models. The FCC/SppC pp option will give an opportunity to probe $m_{q_{6}}$ up to 48/75 TeV and $m_{l_{8}}$ up to 15/27 TeV within 1 year of operation at nominal luminosity. FCC/SppC …
Galactic H$\Alpha $ Emission Line Studies Using Defpos At The Tübi̇tak National Observatory, Muhi̇tti̇n Şahan
Galactic H$\Alpha $ Emission Line Studies Using Defpos At The Tübi̇tak National Observatory, Muhi̇tti̇n Şahan
Turkish Journal of Physics
H$\alpha $ spectral line (6563 Å) profiles of eight northern H II regions in our galaxy (Sh2-25, Sh2-131, Sh2-237, IC 434, IC 1318, NGC 1982, NGC 6543, and NGC 6611) have been obtained using the Dual Etalon Fabry-Pérot Optical spectrometer (DEFPOS) with a 4' field of view, located at the coudé focus of the 150 cm RTT150 telescope at the TÜBİTAK National Observatory (TUG, Antalya, Turkey). Observations were carried out during the nights of 25-27 December 2015 and 6-7 June 2017 with different long exposure times ranging from 900 s to 3600 s. These spectra provide information about the local …
Structural And Permeability Characterization Of Zn-Li Ferrites, M H Mesbah Ahmed, A. K. M. Akther Hossain, Shamima Choudhury
Structural And Permeability Characterization Of Zn-Li Ferrites, M H Mesbah Ahmed, A. K. M. Akther Hossain, Shamima Choudhury
Turkish Journal of Physics
Structural characterization and magnetic properties of Zn-substituted Li ferrites with composition \linebreak Zn$_{x}$Li$_{0.45-x/2}$Fe$_{2.55-x/2}$O$_{4}$ (where x = 0.0, 0.1, 0.2, 0.3, 0.4, and 0.5) were studied by varying sintering temperature T$_{S}$ (where T$_{S}$ = 1000, 1050, 1100, 1150, 1200, and 1250 $^{\circ}$C) of the six samples. The single-phase cubic spinel structure was found by XRD patterns and scanning electron microscopy revealed the microstructure of all the samples. Permeability (real, $\mu_{i}'$ and imaginary, $\mu _{i}'')$ was found to increase with Zn substitution and also with sintering temperature. The real part of initial permeability ($\mu_{i}')$ was found to depend on the density and …
Function Mining For The $$-N$_{Ch}$ Correlations In Pp And Pp(Bar) Collisions Based On Symbolic Regression, Elsayed Eldahshan
Function Mining For The $$-N$_{Ch}$ Correlations In Pp And Pp(Bar) Collisions Based On Symbolic Regression, Elsayed Eldahshan
Turkish Journal of Physics
The investigation and analysis of the correlation between the mean transverse momentum () of charged particles and the charged particle multiplicity ($N_{ch}$) allow physicists to understand the contribution of multiple-parton interactions to the particle production mechanism. A symbolic regression (SR) method, based on gene expression programming (GEP), is proposed for mining a function that describes the -$N_{ch}$ correlation in proton-proton and proton-antiproton (pp and pp(bar)) collisions at collision energies from IRS to LHC. The discovered function simulates and models the correlation between and $N_{ch}$ in wide energy range $s^{1/2}$. In the framework of the proposed GEP model for $-N_{ch}$ correlation, …
Cross Section Predictions Of The Z Boson In Association With Jets At 14 Tevcenter-Of-Mass Energy In Proton?Proton Collisions, Kamuran Di̇lsi̇z, Emrah Tiraş
Cross Section Predictions Of The Z Boson In Association With Jets At 14 Tevcenter-Of-Mass Energy In Proton?Proton Collisions, Kamuran Di̇lsi̇z, Emrah Tiraş
Turkish Journal of Physics
QCD predictions of the Z (Z → l+l) boson in association with jets (up to 2 jets) in proton?proton collisions are presented in this study. The results are predicted at LO and NLO accuracy using two most recent parton distribution functions, CT14 and MMHT2014. LO and NLO corrections are obtained with LO, NLO, and NNLO PDFs to find out the best PDF, which provides well compatible predictions with the experimental measurements. QCD predictions are performed at 13 and 14 TeV center-of-mass energies. To verify the obtained results, the predictions are compared with the measured results by ATLAS collaboration. NLO QCD …
Broadband Spectral Splitting Of White Light Via 2d Diffractive Optical Elements, Yalin Başay, Emre Yüce
Broadband Spectral Splitting Of White Light Via 2d Diffractive Optical Elements, Yalin Başay, Emre Yüce
Turkish Journal of Physics
An effective way of increasing the efficiency of solar cells is to spectrally split sunlight into several frequencies and absorb each frequency using appropriate photovoltaic materials. In this study, we establish a method to show spectral splitting of broadband solar light via iteratively optimized diffractive optical elements. We develop an algorithm in order to calculate 2D holographic patterns that focus two different frequencies to designated positions.
Relativistic Quantum Mechanical Spin-1 Wave Equation In 2 + 1 Dimensionalspacetime, Mustafa Dernek, Semra Gürtaş Doğan, Yusuf Sucu, Nuri̇ Ünal
Relativistic Quantum Mechanical Spin-1 Wave Equation In 2 + 1 Dimensionalspacetime, Mustafa Dernek, Semra Gürtaş Doğan, Yusuf Sucu, Nuri̇ Ünal
Turkish Journal of Physics
In this study, we introduce a relativistic quantum mechanical wave equation of the spin-1 particle as an excited state of the zitterbewegung and show that it is consistent with the 2 + 1 dimensional Proca theory. At the same time, we see that in the rest frame, this equation has two eigenstates; particle and antiparticle states or negative and positive energy eigenstates, respectively, and satisfy SO(2,1) spin algebra. As practical applications, we derive the exact solutions of the equation in the presence of a constant magnetic field and a curved spacetime background. From these solutions, we find Noether charge by …
General Solution Of The Schrödinger Equation With Potential Field Quantization, Hasan Hüseyi̇n Erbi̇l
General Solution Of The Schrödinger Equation With Potential Field Quantization, Hasan Hüseyi̇n Erbi̇l
Turkish Journal of Physics
A simple procedure has been found for the general solution of the time-independent Schrödinger equation (SE) with the help of quantization of potential area in one dimension without making any approximation. Energy values are not dependent on wave functions. So, to find the energy values, it is enough to find the classic turning points of the potential function. Two different solutions were obtained, namely, symmetric and antisymmetric in bound states. These normalized wave functions are always periodic. It is enough to take the integral of the square root of the potential energy function to find the normalized wave functions. If …