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Full-Text Articles in Physics
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 …
Schrödinger Equation With Modified Smorodinsky-Winternitz Potential, Akpan Ndem Ikot, Hassan Hassanabadi, Elham Maghsoodi, Saber Zarrinkamar
Schrödinger Equation With Modified Smorodinsky-Winternitz Potential, Akpan Ndem Ikot, Hassan Hassanabadi, Elham Maghsoodi, Saber Zarrinkamar
Turkish Journal of Physics
We present solutions of the Schrödinger equation for the modified Smorodinsky-Winternitz potential in an exact analytical manner. The considered potential is of noncentral nature and includes the Pöschl-Teller potential in the radial as the radial term and includes both azimuthal and polar angle-dependent terms. The problem, after separation of variables, is solved via the Nikiforov-Uvarov method and the solutions are reported.
General Formulation Of The Scattered Matter Waves By A Quantum Shutter, Yusuf Zi̇ya Umul
General Formulation Of The Scattered Matter Waves By A Quantum Shutter, Yusuf Zi̇ya Umul
Turkish Journal of Physics
The scattering process of matter waves by a quantum shutter is investigated by using the spectrum integral representation. The scattered fields are expressed in terms of the Fresnel function. It is shown that the obtained equation gives the Moshinsky function for a one dimensional problem of the plane wave. Also a general integral representation is derived for two dimensional problems. The scattering of matter waves for some special wave-packets are examined analytically and numerically.
The Asymptotic Iteration Method For The Eigenenergies Of The Complex Potential V(X) = \Gamma X^4 + I \Beta X^3 + I \Alpha X, Abdallah Jamiel Sous
The Asymptotic Iteration Method For The Eigenenergies Of The Complex Potential V(X) = \Gamma X^4 + I \Beta X^3 + I \Alpha X, Abdallah Jamiel Sous
Turkish Journal of Physics
Recently, three complex potentials V(x) = i x^3,V(x) = i x^3 + i \alpha x, and V(x) = x^4 + i \alpha x have been studied in the literature. Here, we combine these potentials in one. With the aid of the asymptotic iteration method we have numerically calculated the eigenenergies of the new complex potential. The obtained numerical results are compared with those obtained by using the WKB, EMM, and MRF methods and found to be in an excellent agreement. We discuss how an adjustable parameter \zeta can help to improve our results.
Schrödinger Equation Solutions For Small R And Resulting Functional Relations, Harry A. Mavromatis
Schrödinger Equation Solutions For Small R And Resulting Functional Relations, Harry A. Mavromatis
Turkish Journal of Physics
The Schrödinger equation is examined for small r (i.e. one step beyond the limit r \rightarrow 0) for the cases V(r) \rightarrow r^k, (k>0), and V(r) \rightarrow r^{-k} (0