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Full-Text Articles in Physical Sciences and Mathematics
Stationary Solutions For An Electron In An Intense Laser Field. Ii. Multimode Case, D. S. Guo, Gordon W. F. Drake
Stationary Solutions For An Electron In An Intense Laser Field. Ii. Multimode Case, D. S. Guo, Gordon W. F. Drake
Physics Publications
The Schrodinger equation for an electron and a multimode photon field with interactions is solved in the large-phonon-number limit by using an 'integration' method. A graphical technique different from Feynman's is developed to represent the terms in the solution. By this graphical technique, all interactions between the electron and the multimode photon field are evaluated to any arbitrary order according to the number of transferred photons. The graphical technique allows one easily to write down the wavefunctions for an electron interacting with a strong photon field which contains an arbitrary number of photon modes. The two-mode case is discussed in …
Stationary Solutions For An Electron In An Intense Laser Field. I. Single-Mode Case, D. S. Guo, Gordon W. F. Drake
Stationary Solutions For An Electron In An Intense Laser Field. I. Single-Mode Case, D. S. Guo, Gordon W. F. Drake
Physics Publications
The Schrodinger equation for an electron and a single-mode photon field with interactions is solved by a direct method. A unique feature of these solutions is the inclusion of retardation effects in the photon field. Some interesting physical questions arising from the solutions are discussed. The Keldysh-Faisal-Reiss formula for the transition rate of multiphoton ionization modified by the inclusion of retardation effects is simplified by averaging the degenerate initial states. The result shows that the retardation effects can be calculated in terms of the radial part of the momentum wavefunction of the initial state. The physical significance of the inclusion …
The Doubly-Excited State 2p 2 3p For 1 ≤ Z ≤ 4: Coulomb Holes Derived From Explicitly Correlated Wavefunctions, K. E. Banyard, D. R. T. Keeble, Gordon W. F. Drake
The Doubly-Excited State 2p 2 3p For 1 ≤ Z ≤ 4: Coulomb Holes Derived From Explicitly Correlated Wavefunctions, K. E. Banyard, D. R. T. Keeble, Gordon W. F. Drake
Physics Publications
Doubly-excited states (DES) of simple atoms involve, by comparison with the ground state, relatively slow moving electrons which should therefore be more responsive to electron correlation. Hence, for the 2p 23P state, correlation effects have been analyzed in detail in terms of Coulomb holes, partial Coulomb holes and (r n 12) when 1 ≤ Z ≤ 4. Comparisons are made with the 1s 2 1S ground state and with the singly-excited state 1s2p, 3P. As for the lower states, each DES was described by an accurate explicitly correlated wavefunction. For each Z, a similarity of characteristics, but not of scale, …
Erratum: Asymptotic Expansion For -Function Matrix Elements Of Helium (Phys. Rev. A (1992) 45,9 (6933-6934)), Gordon W. F. Drake
Erratum: Asymptotic Expansion For -Function Matrix Elements Of Helium (Phys. Rev. A (1992) 45,9 (6933-6934)), Gordon W. F. Drake
Physics Publications
No abstract provided.
Multiphoton Ionization In Circularly Polarized Standing Waves, D. S. Guo, Gordon W. F. Drake
Multiphoton Ionization In Circularly Polarized Standing Waves, D. S. Guo, Gordon W. F. Drake
Physics Publications
We derive the wave functions for an electron moving in a quantized circularly polarized standing-wave radiation field. By applying these solutions as the final states, we derive multiphoton ionization transition-rate formulas according to Keldysh-Faisal-Reiss (KFR) theory. Numerical calculations and theoretical analysis show that in the case of two light beams with the same angular momentum, KFR theory does not predict the peak splittings in the photoelectron angular distributions that were observed in an experiment by Bucksbaum, Schumacher, and Bashkansky (BSB) [Phys. Rev. Lett. 61, 1162 (1988)]. A transition-rate formula from a scattering theory developed for the case of single-mode multiphoton …
Many-Electron Radial And Angular Integrals In The Unitary-Group Approach, R. D. Kent, Gordon W. F. Drake
Many-Electron Radial And Angular Integrals In The Unitary-Group Approach, R. D. Kent, Gordon W. F. Drake
Physics Publications
An extension of work by Drake [Phys. Rev. A 18, 820 (1978)] to the treatment of radial and angular integrals occurring in N-electron systems is presented. It is shown that the essential results pertaining to two-electron systems adapted to Hylleraas coordinates also apply to many electrons when pairs of electrons are chosen to interact with each other in a spin-adapted basis set. These results are derived using graphical-analysis techniques in the context of the unitary-group approach. © 1992 The American Physical Society.
Asymptotic Expansion For -Function Matrix Elements Of Helium, Gordon W. F. Drake
Asymptotic Expansion For -Function Matrix Elements Of Helium, Gordon W. F. Drake
Physics Publications
This paper extends the methods of asymptotic analysis extensively developed for energy-level calculations of Rydberg states to the evaluation of matrix elements of (r). All terms up to x-8 in the asymptotic potential are systematically derived from a simple perturbation expansion. The formalism is developed in a way that closely parallels that for the corresponding energy expansion. The results are comparable in accuracy to the energy itself. Detailed numerical comparisons with high-precision variational calculations are presented for the states of helium up to nL=10K (i.e., L=7). For L5, the accuracy of the asymptotic expansion exceeds what has been achieved variationally. …
He+ 2p State Lifetime By A Quenching-Asymmetry Measurement, Gordon W. F. Drake, J. Kwela, A. Van Wijngaarden
He+ 2p State Lifetime By A Quenching-Asymmetry Measurement, Gordon W. F. Drake, J. Kwela, A. Van Wijngaarden
Physics Publications
An interference asymmetry in the angular distribution of the Ly quenching radiation emitted by He+ ions in the metastable 2s1/2 state is measured to high precision to obtain the lifetime of the 2p1/2 state. The derived lifetime of (0.997 170.000 75)×10-10 s is the most accurate available for a fundamental atomic system. A detailed discussion of systematic corrections is included. The result is in good agreement with theory, thereby confirming the theory of radiative transition probabilities to 0.075%, and indicating that differences between theory and experiment for the alkali metals must be due to either inadequate wave functions or experimental …
Energies And Relativistic Corrections For The Rydberg States Of Helium: Variational Results And Asymptotic Analysis, Gordon W. F. Drake, Z. C. Yan
Energies And Relativistic Corrections For The Rydberg States Of Helium: Variational Results And Asymptotic Analysis, Gordon W. F. Drake, Z. C. Yan
Physics Publications
The results of an extended series of high-precision variational calculations for all states of helium up to n=10 and L=7 (excluding S states above n=2) are presented. Convergence of the nonrelativistic eigenvalues ranges from five parts in 1015 for the 2P states to four parts in 1019 for the 10K states. Relativistic and quantum electrodynamic corrections of order 2, 3, 2/M, 2(/M)2, and 3/M are included and the required matrix elements listed for each state. For the 1s2p 3PJ states, the lowest-order spin-dependent matrix elements of the Breit interaction are determined to an accuracy of three parts in 109, which, …