The Product-Integral Calculus Formulation in Quantum Mechanics
作者:
Ivan Kramer,
期刊:
American Journal of Physics
(AIP Available online 1972)
卷期:
Volume 40,
issue 9
页码: 1221-1230
ISSN:0002-9505
年代: 1972
DOI:10.1119/1.1986806
出版商: American Association of Physics Teachers
数据来源: AIP
摘要:
In this paper we investigate the advantages of using the product-integral calculus rather than the usual successive approximation perturbative expansion in three branches of quantum physics. The mathematics of the calculus is fully developed, and its superiority over the perturbative expansion is explored in specific examples from physics. All of time-dependent perturbation theory in quantum mechanics can be written in terms of the calculus, as well as the most general solution for the density operator in quantum statistical mechanics.
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