Path-integral treatment of the morse oscillator

Namik Kemal Pak, İ. Sökmen

Mekki Aouachria

Christopher C. Gerry

Coherent states for the Morse oscillator are constructed using generalized coherent states associated with the SO(2,1) noninvariance group for this potential. By using the path integral over these states, it is shown that the Morse oscillator may be viewed as a harmonic oscillator evolving in a fictitious time. To show that this picture is mathematically consistent, we compute the path integral for the Green's function and recover the bound-state spectrum.

Francisco Marcelo Fernández

Akira Inomata, M. A. Kayed

Guided by the group chain SO(3) contains/implies O(2), the authors construct an angular path integral for the symmetric Rosen-Morse oscillator on S 2 . By explicit path integration, they obtain the normalised energy eigenfunction as well as the exact energy spectrum.

Dennis Bonatsos A, C. Daskaloyannis