We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
NEW METHOD FOR MAPPING OF EXACT ANALYTIC S-WAVE SOLUTIONS FOR REGENERATED CENTRAL HYPERBOLIC POTENTIALS.
- Authors
BHARALI, ARUP; SINGH, NGANGKHAM NIMAI
- Abstract
We present a new method in the framework of non-relativistic quantum mechanics for mapping of exact analytic s-wave solutions for hyperbolic central potentials from the angular wave functions of already known quantum systems with exactly solvable ring-shaped potentials. The method is based on a coordinate redesignation and a coordinate transformation supplemented by a functional transformation. Invocation of plausible ansatz is indispensable to (re)generate hyperbolic central potentials, and the radial wave functions for the generated central potentials are shown to be normalizable elegantly.
- Subjects
SHEAR waves; HYPERBOLIC processes; NONRELATIVISTIC quantum mechanics; WAVE functions; COORDINATE transformations; RADIAL wavefunction; WAVE mechanics
- Publication
Acta Physica Polonica B, 2013, Vol 44, Issue 10, p1959
- ISSN
0587-4254
- Publication type
Article
- DOI
10.5506/APhysPolB.44.1959