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 …
quantum mechanics is used to discuss the basic concepts of supersymmetry and its …
Amplification of small signals via stochastic resonance
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 …
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
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 …
the coordinates and momenta are assumed to obey the modified commutation relations [xi …
Supersymmetric optical structures
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 …
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 …
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 …
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) …
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
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 …
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 …
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 …
are calculated by analytically continuing the explicit wavefunctions obtained via …