Abstract:
For the Fröhlich Hamiltonian describing the coupling of electrons to a countable set
of phonon modes it is shown that the self-consistency equations which arise in the
approximating Hamiltonian method can be solved by theta-function integration.
Citation:
E. D. Belokolos, D. Ya. Petrina, “Connection between the approximating Hamiltonian method and theta-function integration”, TMF, 58:1 (1984), 61–71; Theoret. and Math. Phys., 58:1 (1984), 40–46
This publication is cited in the following 5 articles:
Brankov J.G., Tonchev N.S., “Generalized inequalities for the Bogoliubov-Duhamel inner product with applications in the Approximating Hamiltonian Method”, Condensed Matter Physics, 14:1 (2011), 13003
D. Ya. Petrina, Mathematical Foundations of Quantum Statistical Mechanics, 1995, 307
J. V. Pulé, A. Verbeure, V. A. Zagrebnov, “Peierls-Fröhlich instability and Kohn anomaly”, J Stat Phys, 76:1-2 (1994), 159
E. D. Belokolos, A. I. Bobenko, V. B. Matveev, V. Z. Ènol'skii, “Algebraic-geometric principles of superposition of finite-zone solutions of integrable non-linear equations”, Russian Math. Surveys, 41:2 (1986), 1–49
N. N. Bogolyubov (Jr.), I. G. Brankov, V. A. Zagrebnov, A. M. Kurbatov, N. S. Tonchev, “Some classes of exactly soluble models of problems in quantum statistical mechanics: the method of the approximating Hamiltonian”, Russian Math. Surveys, 39:6 (1984), 1–50
Citation in format AMSBIB
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