Abstract
Collective variables are introduced: coordinates and momenta, which in fact are canonical variables. These variables are used to write a Hamiltonian describing collective motions in a classical system of interacting particles.
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References
D. N. Zubarev, ZhETF,25, 548, 1953; N. N. Bogolyubov and D. N. Zubarev, ZhETF,28, 129, 1955; D. N. Zubarev, DAN SSSR,95, 757, 1954;
D. N. Zubarev, Dissertation, MGU, 1953
D. Bohm and D. Pines, Phys. Rev.,82, 625, 1951;92, 609, 1953; D. Pines and D. Bohm, Phys. Rev.,85, 338, 1952.
L. Galasiewicz, Acta Phys. Polon.,14, 373, 1955;15, 49, 79, 1956.
D. ter Haar, Introduction to the Physics of Many-Body Systems [Russian translation], IL, Moscow, 1961.
J. K. Percus and G. J. Yevick, Phys. Rev.,101, 1186, 1192, 1956; Nuovo Cimento,5, 65, 1057, 1957.
J. K. Percus and G. J. Yevick, Phys. Rev.,110, 1, 1958.
S. Sunakawa, Y. Yoko-o, H. Nakatani. Progr. Theor. Phys.,27, 589, 600, 1962;28, 127, 1962; K. Yamamoto. Progr. Theor. Phys.,27, 838, 1962.
R. Eisenschitz and M. J. Wilford, Proc. Phys. Soc.,80, 1078, 1962.
H. Mori, Progr. Theoret. Phys.,28, 763, 1962; K. Hisimi and T. Nishivama. Fortschr. Phys.,6, 16, 1958; D. W. Jepsen and D. ter Haar, Physica,28, 70, 1962.
S. Tomonaga, Progr. Theor. Phys.,13, 467, 482, 1955.
D. Bohm and G. Carmi, Phys. Rev.,133, A319, A332, 1955.
D. Bohm, General Theory of Collective Variables [Russian translation], Izd. “Mir,” Moscow, 1964.
D. ter Haar, Elements of Statistical Mechanics, N. Y., 1954.
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The author is grateful to K. A. Valiev for his supervision and constant interest in the work.
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Yul'met'ev, R.M. On the theory of collective motion in a system of interacting particles. Soviet Physics Journal 9, 21–25 (1966). https://doi.org/10.1007/BF01206486
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DOI: https://doi.org/10.1007/BF01206486