Far East Journal of Applied Mathematics

The Far East Journal of Applied Mathematics publishes original research papers and survey articles in applied mathematics, covering topics such as nonlinear dynamics, approximation theory, and mathematical modeling. It encourages papers focusing on algorithm development.

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TIME-DEPENDENT SCHRÖDINGER EQUATION: II. REDUCED VELOCITY GAUGE

Authors

  • Alejandro Palma

Keywords:

quantum mechanics, one dimensional time-dependent Schrödinger equation, velocity gauge.

DOI:

https://doi.org/10.17654/0972096022009

Abstract

The role of quantum mechanics is well known in several areas of physics such as super conductors, solids, lasers and semiconductors, especially in the last two, it is normal for an interaction in the system including one or more electric fields. In this paper, we study the time- dependent Schrödinger equation under the reduced mean velocity.

Received: March 2, 2022
Accepted: April 12, 2022

References

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P. Zhang and Y. Lau, Ultrafast strong-field photoelectron emission from biased metal surfaces: exact solution to time-dependent Schrödinger equation, Sci. Rep. 6 (2016), 19894.

M. Büttiker and R. Landauer, Traversal time for tunneling, Phys. Rev. Lett. 49(23) (1982), 1739-1742.

R. Lefebvre, Resonant tunneling in the presence of two electric fields: one static and the other oscillating, International Journal of Quantum Chemistry 80 (2000), 110-116.

D. M. Volkov, Über eine Klasse von Lösungen der Diracschen Gleichung, Zeitschrift für Physik 94 (1935), 250-260.

J. Wei and E. Norman, Lie algebraic solution of linear differential equations, J. Math. Phys. 4 (1963), 4.

C. J. Joachain, N. J. Kylstra and R. M. Potvliege, Atoms in Intense Laser Fields, Cambridge University Press, 2012.

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Published

2022-05-06

Issue

Vol. 113 (2022)

Section

Articles

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How to Cite

TIME-DEPENDENT SCHRÖDINGER EQUATION: II. REDUCED VELOCITY GAUGE. (2022). Far East Journal of Applied Mathematics, 113, 37-43. https://doi.org/10.17654/0972096022009

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