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 …

We review various methods of deriving expressions for quantum-mechanical quantities in
the limit when hslash is small (in comparison with the relevant classical action functions). To …

Higher dimensional theories have attracted much attention because they make it possible to
reduce much of physics in a concise, elegant fashion that unifies the two great theories of …

We review and discuss several recent approaches to quadrupole collectivity and
developments of collective models and their solutions with many applications, examples and …

Potentials which have the property of “shape-invariance” are known to be exactly solvable.
For all these potentials, it is proved that the supersymmetric WKB (SWKB) quantization …

This book provides a thorough introduction to one of the most efficient approximation
methods for the analysis and solution of problems in theoretical physics and applied …

The Langer modification is an improvement in the WKE3 analysis of the radial Schrijdinger
equation. We derive a generalization of the Langer modification to any radial operator. For …

A prolate γ-rigid version of the Bohr-Mottelson Hamiltonian with a quartic anharmonic
oscillator potential in β collective shape variable is used to describe the spectra for a variety …

The multi-instanton expansion for the eigenvalues of the symmetric double well is derived
using a Langer–Cherry uniform asymptotic expansion of the solution of the corresponding …

In this paper, we obtained the non-relativistic ro-vibrational energy spectra, constants,
expectation values and the thermodynamic properties of the Schiöberg potential function …