Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1995-10-21
Phys. Lett. A 199 (1995) 1
Physics
High Energy Physics
High Energy Physics - Theory
Plain TeX, 11 pages
Scientific paper
10.1016/0375-9601(95)00036-3
It is proved that quasi-exactly soluble potentials (QESPs) corresponding to an oscillator with harmonic, quartic and sextic terms, for which the $n+1$ lowest levels of a given parity can be determined exactly, may be approximated by WKB equivalent potentials corresponding to deformed anharmonic oscillators of SU$_q$(1,1) symmetry, which have been used for the description of vibrational spectra of diatomic molecules. This connection allows for the immediate approximate determination of all levels of the QESPs.
Bonatsos Dennis
Daskaloyannis Costas
Mavromatis Harry A.
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