Abstract
An approach is developed for describing inhomogeneous periodic structures in a system of Fermi particles with a short-range pair potential in the formalism of a functional integral and a functional effective action. Instability of a homogeneous base state at large pressures and also instability of a weakly inhomogeneous bodycentered structure are demonstrated.
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Literature cited
V. N. Popov, Path Integrals in Quantum Field Theory and Statistical Physics [in Russian], Atomizdat, Moscow (1976).
V. I. Vozyakov and V. N. Popov, J. Sov. Math,30, No. 4 (1985).
L. D. Landau, Collected Works [in Russian], Vol. 2, Nauka, Moscow, pp. 337–348.
D. A. Kirzhin and Yu. A. Nepomnyashchii, Zh. Eksp. Teor. Fiz.,59, 2203–2214 (1970).
N. N. Bogolyubov (Jr.) and B. I. Sadovnikov, Some Problems in Statistical Mechanics [in Russian], Vysshaya Shkola, Moscow (1975).
L. D. Landau, Collected Works [in Russian], Vol. 1, Nauka, Moscow (1969), pp. 253–261.
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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 145, pp. 46–61, 1985.
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Vozyakov, V.I., Popov, V.N. A functional approach to the theory of quantum crystals. J Math Sci 35, 2589–2599 (1986). https://doi.org/10.1007/BF01083764
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DOI: https://doi.org/10.1007/BF01083764