Methodology of Analytic and Computational Studies on Quantum Systems |
| |
Authors: | Masuo Suzuki |
| |
Institution: | (1) Department of Applied Physics, Science University of Tokyo, 1–3, Kagurazaka, Shinjuku-ku, Tokyo, 162-8601, Japan |
| |
Abstract: | The concept of separation of procedures and the ST-transformation are briefly reviewed together with the equivalence theorem that a d-dimensional quantum system with finite-range interactions is equivalent to the corresponding (d+1)-dimentional classical system with finite-range interactions. This theorem yields the introduction of the quantum transfer-matrix method. Thermo quantum dynamics is formulated using the quantum transfer-matrix method. This new formulation has the great merit that the thermal average Q for any observable Q in the thermodynamic limit is expressed as an expectation value over a temperature-dependent state vector in the single (conjugate) Hilbert space in the contrast to the usage of the double Hilbert space in thermo field dynamics. |
| |
Keywords: | Finite-range interactions ST-transformation quantum transfer-matrix method |
本文献已被 SpringerLink 等数据库收录! |
|