Path Integration in Quantum Physics by Changing the Drift of the Underlying Diffusion Process: Applications of Legendre Processes

✍ Scribed by W. Fischer; H. Leschke; P. Muller

• Publisher: Elsevier Science
• Year: 1993
• Tongue: English
• Weight: 624 KB
• Volume: 227
• Category: Article
• ISSN: 0003-4916
• DOI: 10.1006/aphy.1993.1080

✦ Synopsis

In a reasonably self-contained presentation the usefulness of the Cameron-MartinGirsanov formula for rigorous and explicit path-integral calculations in quantum physics is demonstrated. Its particularization to the family of Legendre processes is shown to be a sound tool for angular path integration. This is illustrated by straightforward path-integral calculations of the energy-dependent Green functions for the Pöschl-Teller and Rosen-Morse system in closed form, which do not need any of the discretization prescriptions used in previous calculations. 1993 Academic Press, Ins.