𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the semiclassical approximation for double well potentials

✍ Scribed by J.N.L. Connor

Publisher
Elsevier Science
Year
1969
Tongue
English
Weight
148 KB
Volume
4
Category
Article
ISSN
0009-2614

No coin nor oath required. For personal study only.

✦ Synopsis

Semiclassical connection formulae for n parabolic barrier nre used to derive a qunntization formu!n for the energy levels of an asymmetric double well oscillator. The connection with the phase integral approach to this problem is discussed.

πŸ“œ SIMILAR VOLUMES

On the quantal treatment of the double-w
On the quantal treatment of the double-well potential problem by means of certain phase-integral approximations
✍ N. FrΓΆman; P.O. FrΓΆman; U. Myhrman; R. Paulsson πŸ“‚ Article πŸ“… 1972 πŸ› Elsevier Science 🌐 English βš– 517 KB

In the formulas given in the previous papers by FrGman and by Frtiman and Myhrman on the eigenvalue problem of the double oscillator, a certain quantity D occurs, which is negligible for energies lying far from the top of the barrier but which is important for energy levels in the immediate neighbor

On the Semiclassical Propagator for Any
On the Semiclassical Propagator for Any One-Dimensional Admissible Potential
✍ Shang-Wu Qian; Zhi-Yu Gu πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 465 KB

This paper shows that by choosing suitably the general fundamental invariant I=f (I 1 ) as a new canonical momentum, we can find the semiclassical propagator for any one-dimensional admissible potential, where I is a certain function of the fundamental invariant I 1 . We apply this method to the cas