Published November 29, 1993 | Version v1
Journal article

The first three bound states for the potential V(r) = ar2+br-4+cr-6

Creators

  • 1. Dept. of Physics, Univ. of Ottawa (Canada)

Description

It is shown that the wavefunction proposed by Kaushal and Parashar [Phys. Lett. A 170 (1992) 335] has four different possible sets of solutions for the wavefunction parameters and the constraint between the potential parameters. Expressions are derived for these for the four solutions. It is shown that the wavefunction in question can represent any of the following states: the ground state, the first excited state, or the second excited state, depending on the values of the parameters of the wavefunction. It is also shown that the values a=1, b=-11.25 and c=3.515625 satisfy the constraint between the parameters both for the ground state and the first excited state. (orig.)

Additional details

Publishing Information

Journal Title
Physics Letters. A
Journal Volume
183
Journal Issue
1
Journal Page Range
p. 9-13.
ISSN
0375-9601
CODEN
PYLAAG

INIS

Country of Publication
Netherlands
Country of Input or Organization
Netherlands
INIS RN
25029411
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
BOUND STATE; CENTRAL POTENTIAL; EXCITED STATES; GROUND STATES; QUANTUM MECHANICS; WAVE FUNCTIONS
Descriptors DEC
ENERGY LEVELS; FUNCTIONS; MECHANICS; POTENTIALS