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.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
