SYMMETRICAL TREATMENT OF ELECTRON AND NUCLEAR MOTIONS IN M. BORN’S THEORY OF IDEAL CRYSTALS
Keyword(s):
Max Born
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The equilibrium positions of the nuclei in an ideal crystal can be determined by thermal averages, as suggested by Max Born many years ago. We derive these equations without appealing to Born’s second condition which relates the proper frequencies to the statistical operator. We obtain these frequencies directly from the action principle and develop a perturbation theory including all the parity-violating terms (under reflection of generalized, proper coordinates). The equation which determines the equilibrium positions allows us to derive a system of differential equations for the derivatives of these positions with respect to the temperature.
2007 ◽
Vol 40
(33)
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pp. 10071-10081
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2003 ◽
Vol 35
(7)
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pp. 15-21
2018 ◽
Vol 6
(7)
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pp. 916-919
Keyword(s):
2019 ◽
Vol 19
(12)
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pp. 1950160
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