Uniform product formulae with application to the Feynman—Nelson integral for open systems

✍ Scribed by P. Exner; G. I. Kolerov

• Publisher: Springer
• Year: 1982
• Tongue: English
• Weight: 276 KB
• Volume: 6
• Category: Article
• ISSN: 0377-9017
• DOI: 10.1007/bf00401740

✦ Synopsis

AB S TRACT. The product formula for perturbations of propagators by Faris is generalized: we show that one can use arbitrary partitions of a given interval and perform the limit uniformly with respect to the partition norm. The results are applied to express solutions of the Schrodinger equation, in particular for some complex and time-dependent potentials, by means of Nelson-type path integrals.