AN ANALYTIC ESTIMATE OF THE NUMBER OF BOUND-STATES IN THE LENNARD-JONES POTENTIALS

Authors
ZNOJIL M
Citation
M. Znojil, AN ANALYTIC ESTIMATE OF THE NUMBER OF BOUND-STATES IN THE LENNARD-JONES POTENTIALS, Physics letters. A, 188(2), 1994, pp. 113-116
Citations number
8
Categorie Soggetti
Physics
Journal title
Physics letters. A → ACNP
ISSN journal
03759601
Volume
188
Issue
2
Year of publication
1994
Pages
113 - 116
Database
ISI
SICI code
0375-9601(1994)188:2<113:AAEOTN>2.0.ZU;2-W
Abstract
An arbitrary Lennard-Jones potential V(IJ) (r) = A2r-12-B2r-6 is major ized and minorized by a pair of potentials which, as the Liouville tra nsforms of the harmonic oscillator, are exactly solvable at the thresh old. The (known) number of nodes in the respective (elementary) wavefu nctions is then shown to impose very restrictive (upper and lower) est imates upon the number of bound states in V(LJ).