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- W2026806778 abstract "WKB equivalent potentials (WKB-EP’s) giving the same WKB spectrum as the q-deformed harmonic oscillator are determined in analytic form. For q being complex the WKB-EP resembles the Pöschl–Teller, Morse, or Woods–Saxon potentials, widely used in nuclear, hypernuclear, and molecular physics. For q real, the WKB-EP still goes to infinity at large x, while at small x it resembles a sextic oscillator. The WKB-EP’s of the anharmonic oscillators with Uq(2) or SUq(1,1) symmetries, used for the description of vibrational molecular spectra, are also calculated. They correspond to q-deformed versions of the modified Pöschl–Teller potential." @default.
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- W2026806778 date "1992-09-01" @default.
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- W2026806778 title "WKB equivalent potentials for <i>q</i>‐deformed harmonic and anharmonic oscillators" @default.
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