Supersymmetry in quantum mechanics

LÉ Gendenshteĭn, IV Krive - Soviet Physics Uspekhi, 1985 - iopscience.iop.org
This review is an elementary introduction to supersymmetry. The example of supersymmetric
quantum mechanics is used to discuss the basic concepts of supersymmetry and its …

Amplification of small signals via stochastic resonance

P Jung, P Hänggi - Physical review A, 1991 - APS
Stochastic resonance is a cooperative effect of noise and periodic driving in bistable
systems. It can be used for the detection and amplification of weak signals embedded within …

Exact solution of the harmonic oscillator in arbitrary dimensions with minimal length uncertainty relations

LN Chang, D Minic, N Okamura, T Takeuchi - Physical Review D, 2002 - APS
We determine the energy eigenvalues and eigenfunctions of the harmonic oscillator where
the coordinates and momenta are assumed to obey the modified commutation relations [xi …

Supersymmetric optical structures

MA Miri, M Heinrich, R El-Ganainy… - Physical review letters, 2013 - APS
We show that supersymmetry can provide a versatile platform in synthesizing a new class of
optical structures with desired properties and functionalities. By exploiting the intimate …

Solutions of the nonrelativistic wave equation with position-dependent effective mass

AD Alhaidari - Physical Review A, 2002 - APS
Given a spatially dependent mass distribution, we obtain potential functions for exactly
solvable nonrelativistic problems. The energy spectrum of the bound states and their wave …

A search for shape-invariant solvable potentials

G Lévai - Journal of Physics A: Mathematical and General, 1989 - iopscience.iop.org
The author investigates a simple method of constructing potentials which is related to the
work of Bhattacharjie and Sudarshan (1962) and for which the Schrodinger equation can be …

D-wave quarkonium levels of the Υ family

W Kwong, JL Rosner - Physical Review D, 1988 - APS
A key test of the nonrelativistic potential description of quarkonium is the confirmation of
predicted D-wave levels. For the bb system (Υ family), the lowest spin-triplet levels (1 D 3) …

Supersymmetry-generated complex optical potentials with real spectra

MA Miri, M Heinrich, DN Christodoulides - Physical Review A—Atomic …, 2013 - APS
We show that the formalism of supersymmetry (SUSY), when applied to parity-time (PT)
symmetric optical potentials, can give rise to refractive index landscapes with altogether …

Exactly solvable potentials for the Schrödinger equation with spatially dependent mass

J Yu, SH Dong - Physics Letters A, 2004 - Elsevier
We study the Schrödinger equation with spatial mass distributions for a class of exactly
solvable potentials. We obtain the analytical solutions by transforming the mass distribution …

Scattering amplitudes for supersymmetric shape-invariant potentials by operator methods

A Khare, UP Sukhatme - Journal of Physics A: Mathematical and …, 1988 - iopscience.iop.org
The scattering amplitudes for all currently known supersymmetric shape-invariant potentials
are calculated by analytically continuing the explicit wavefunctions obtained via …