Supersymmetric Quantum Mechanics

被引：121
作者：
Fernandez C, David J. [1 ]
机构：
[1] CINVESTAV, Depto Fis, AP 14-740, Mexico City 07000, DF, Mexico
来源：
ADVANCED SUMMER SCHOOL IN PHYSICS 2009: FRONTIERS IN CONTEMPORARY PHYSICS, 5TH EDITION | 2010年 / 1287卷
关键词：
Supersymmetric quantum mechanics; coherent states; periodic potentials; N-FOLD SUPERSYMMETRY; FACTORIZATION METHOD; COHERENT STATES; NONLINEAR SUPERSYMMETRY; POSCHL-TELLER; DERIVATIVE SUPERSYMMETRY; SCHRODINGER-EQUATION; PERIODIC POTENTIALS; OSCILLATOR; DARBOUX;
D O I：
10.1063/1.3507423
中图分类号：
O59 [应用物理学];
学科分类号：
摘要：
Supersymmetric quantum mechanics (SUSY QM) is a powerful tool for generating new potentials with known spectra departing from an initial solvable one. In these lecture notes we will present some general formulae concerning SUSY QM of first and second order for one-dimensional arbitrary systems, and we will illustrate the method through the trigonometric Poschl-Teller potentials. Some intrinsically related subjects, as the algebraic structure inherited by the new Hamiltonians and the corresponding coherent states will be analyzed. The technique will be as well implemented for periodic potentials, for which the corresponding spectrum is composed of allowed bands separated by energy gaps.
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页码：3 / +
页数：4
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