Twolevel systems: Exact solutions and underlying pseudosupersymmetry
Abstract
Chains of firstorder SUSY transformations for the spin equation are studied in detail. It is shown that the transformation chains are related with a polynomial pseudosupersymmetry of the system. Simple determinant formulas for the final Hamiltonian of a chain and for solutions of the spin equation are derived. Applications are intended for a twolevel atom in an electromagnetic field with a possible timedependence of the field frequency. For a specific form of this dependence, the time oscillations of the probability to populate the excited level disappear. Under certain conditions this probability becomes a function tending monotonously to a constant value which can exceed 1/2.
 Authors:
 Department of Quantum Field Theory, Tomsk State University, 36 Lenin Ave., 634050 Tomsk (Russian Federation)
 Institute of Physics, USP (Brazil). Email: gitman@dfn.if.usp.br
 Publication Date:
 OSTI Identifier:
 20976755
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Annals of Physics (New York); Journal Volume: 322; Journal Issue: 5; Other Information: DOI: 10.1016/j.aop.2006.05.004; PII: S00034916(06)001163; Copyright (c) 2006 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ELECTROMAGNETIC FIELDS; EQUATIONS; EXACT SOLUTIONS; EXCITED STATES; HAMILTONIANS; POLYNOMIALS; PROBABILITY; SPIN; SUPERSYMMETRY; TIME DEPENDENCE; TRANSFORMATIONS
Citation Formats
Shamshutdinova, V.V., Samsonov, Boris F., and Gitman, D.M. Twolevel systems: Exact solutions and underlying pseudosupersymmetry. United States: N. p., 2007.
Web. doi:10.1016/j.aop.2006.05.004.
Shamshutdinova, V.V., Samsonov, Boris F., & Gitman, D.M. Twolevel systems: Exact solutions and underlying pseudosupersymmetry. United States. doi:10.1016/j.aop.2006.05.004.
Shamshutdinova, V.V., Samsonov, Boris F., and Gitman, D.M. Tue .
"Twolevel systems: Exact solutions and underlying pseudosupersymmetry". United States.
doi:10.1016/j.aop.2006.05.004.
@article{osti_20976755,
title = {Twolevel systems: Exact solutions and underlying pseudosupersymmetry},
author = {Shamshutdinova, V.V. and Samsonov, Boris F. and Gitman, D.M.},
abstractNote = {Chains of firstorder SUSY transformations for the spin equation are studied in detail. It is shown that the transformation chains are related with a polynomial pseudosupersymmetry of the system. Simple determinant formulas for the final Hamiltonian of a chain and for solutions of the spin equation are derived. Applications are intended for a twolevel atom in an electromagnetic field with a possible timedependence of the field frequency. For a specific form of this dependence, the time oscillations of the probability to populate the excited level disappear. Under certain conditions this probability becomes a function tending monotonously to a constant value which can exceed 1/2.},
doi = {10.1016/j.aop.2006.05.004},
journal = {Annals of Physics (New York)},
number = 5,
volume = 322,
place = {United States},
year = {Tue May 15 00:00:00 EDT 2007},
month = {Tue May 15 00:00:00 EDT 2007}
}
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