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Teoreticheskaya i Matematicheskaya Fizika, 1986, Volume 66, Number 3, Pages 409–421
(Mi tmf4637)
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This article is cited in 2 scientific papers (total in 2 papers)
Path integrals in configuration space in weakly relativistic many-body theory
L. F. Blazhievskii
Abstract:
The functional method of quantizing weakly relativistic theories is considered. It is
shown that in the general case of systems with Lagrangian nonquadratic in the velocities
the Green's function can be represented in the form of the regular part of a path integral
in the configuration space. On this basis, a functional formulation of equilibrium
statistical mechanics that does not require a Hamiltonian description of the system is
developed. The results are used to determine the free energy of a system of charged
particles described by the Darwin Lagrangian.
Received: 30.01.1985
Citation:
L. F. Blazhievskii, “Path integrals in configuration space in weakly relativistic many-body theory”, TMF, 66:3 (1986), 409–421; Theoret. and Math. Phys., 66:3 (1986), 270–278
Linking options:
https://www.mathnet.ru/eng/tmf4637 https://www.mathnet.ru/eng/tmf/v66/i3/p409
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Statistics & downloads: |
Abstract page: | 376 | Full-text PDF : | 144 | References: | 62 | First page: | 1 |
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