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Supersymmetry and quantum mechanics
In the past ten years, the ideas of supersymmetry have been profitably applied to many nonrelativistic quantum mechanical problems. In particular, there is now a much deeper understanding of why
Supersymmetry in quantum mechanics
In the past ten years, the ideas of supersymmetry have been profitably applied to many nonrelativistic quantum mechanical problems. In particular, there is now a much deeper understanding of why
Supersymmetry in quantum mechanics
  • A. Khare
  • Physics, Mathematics
  • 1 September 2004
An elementary introduction is given to the subject of supersymmetry in quantum mechanics which can be understood and appreciated by any one who has taken a first course in quantum mechanics. We
Fractional statistics and quantum theory
Fractional statistics in two dimensions quantum mechanics of anyons statistical mechanics of anyon gas fractional exclusion statistics introduction to Chern-Simons term anyon as soliton in field
Charged vortices in an abelian Higgs model with Chern-Simons term
Abstract The existence is shown of charged vortices of finite energy in a (2+1)-dimensional abelian Higgs model with Chern-Simons (C-S) term. Further, lower bounds on the energy and angular momentum
Scattering amplitudes for supersymmetric shape-invariant potentials by operator methods
The scattering amplitudes for all currently known supersymmetric shape-invariant potentials are calculated by analytically continuing the explicit wavefunctions obtained via supersymmetric operator
Nonlinear Dirac equation solitary waves in external fields.
TLDR
The accuracy of the variational approximation using numerical simulations of the NLDE is investigated and it is found that, when the forcing term is small and the solitary wave is stable, that the behavior of the solutions of the collective coordinate equations agrees very well with the numerical simulations.
On some classes of mKdV periodic solutions
We obtain exact periodic solutions of the positive and negative modified Kortweg-de Vries (mKdV) equations. We examine the dynamical stability of these solitary wave lattices through direct numerical
Engineering Physics - I
ENGINEERING PHYSICS EL-101 Unit I WAVE OPTICS Theory of Bi-prism and Newton’s Rings experiments, Michelson’s Interferometer. Diffraction at single slit, Double slit and diffraction grating, resolving
Compactons in PT-symmetric generalized Korteweg-de Vries equations
In an earlier paper Cooper, Shepard, and Sodano introduced a generalized KdV equation that can exhibit the kinds of compacton solitary waves that were first seen in equations studied by Rosenau and
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