| | |
| | |
Stat |
Members: 3643 Articles: 2'487'895 Articles rated: 2609
28 March 2024 |
|
| | | |
|
Article overview
| |
|
A rigorous path integral for quantum spin using flat-space Wiener regularization | Bernhard Bodmann
; Hajo Leschke
; Simone Warzel
; | Date: |
18 Nov 1998 | Journal: | J. Math. Phys. {f 40} 2549-2559 (1999) | Subject: | Mathematical Physics | math-ph math.MP quant-ph | Affiliation: | University of Florida), Hajo Leschke and Simone Warzel (Universität Erlangen-Nürnberg | Abstract: | Adapting ideas of Daubechies and Klauder [J. Math. Phys. {f 26} (1985) 2239] we derive a rigorous continuum path-integral formula for the semigroup generated by a spin Hamiltonian. More precisely, we use spin-coherent vectors parametrized by complex numbers to relate the coherent representation of this semigroup to a suitable Schrödinger semigroup on the Hilbert space $L^2(R^2)$ of Lebesgue square-integrable functions on the Euclidean plane $R^2$. The path-integral formula emerges from the standard Feynman-Kac-Itô formula for the Schrödinger semigroup in the ultra-diffusive limit of the underlying Brownian bridge on $R^2$. In a similar vein, a path-integral formula can be constructed for the coherent representation of the unitary time evolution generated by the spin Hamiltonian. | Source: | arXiv, math-ph/9811016 | Services: | Forum | Review | PDF | Favorites |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser claudebot
|
| |
|
|
|
| News, job offers and information for researchers and scientists:
| |