×

Propagator for anisotropic three-dimensional charged harmonic oscillator in a constant magnetic field using the Schwinger action principle. (English) Zbl 0617.70022

Schwinger’s action principle has many interesting aspects leading to very useful applications. Magnetic fields of various kinds and intensities have attracted great deal of attention, particularly in particle physics. Oscillator models including those of the harmonic and anharmonic types always help to understand physical problems better. Here the authors have newly calculated and studied the propagator for the anisotropic three- dimensional charged harmonic oscillator in a constant magnetic field employing the Schwinger action principle. Different cases including the general one with regard to the choice of parameters involved are thoroughly dealt with.
Reviewer: P.Achuthan

MSC:

70H99 Hamiltonian and Lagrangian mechanics
81Q99 General mathematical topics and methods in quantum theory
78A35 Motion of charged particles
81V10 Electromagnetic interaction; quantum electrodynamics
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Brosens, F., and Devreese, J. T. (1984).Journal of Mathematical Physics,25, 1752. · Zbl 0587.65091
[2] Castrigiano, D. P. L., and Kokiantonis, N. (1984).Physics Letters,104A, 123.
[3] Cheng, B. K. (1984).Journal of Physics A: Mathematical, Nuclear and General,17, 819.
[4] Feynman, R. P., and Hibbs, A. R. (1965).Quantum Mechanics and Path Integrals. McGraw-Hill, New York. · Zbl 0176.54902
[5] Kennard, E. H. (1927).Zeitschrift fuer Physik,44, 326.
[6] Khandekar, D. C., Lawande, S. V., and Bhagwat, K. V. (1983a).Physics Letters,93A, 167.
[7] Khandekar, D. C., Lawande, S. V., and Bhagwat, K. V. (1983b).Journal of Physics A: Mathematical, Nuclear and General 16, 4209. · Zbl 0941.81574
[8] Kokiantonis, N., and Castrigiano, D. L. P. (1985).Journal of Physics A: Mathematical, Nuclear and General,18, 45.
[9] Papadopoulos, G. J. (1971).Journal of Physics A: Mathematical, Nuclear and General,4, 773. · Zbl 0224.35080
[10] Schwinger, J. (1970).Quantum Kinetics and Dynamics. W. A. Benjamin, New York. · Zbl 1094.81500
[11] Urrutia, L. F., and Hernández, E. (1984).International Journal of Theoretical Physics,23, 1105.
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.