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Time-dependent variational principle and self-consistent field equations

Published online by Cambridge University Press:  24 October 2008

V. U. Nazarov
V. U. Nazarov
Affiliation:
Institute of Automation and Control Processes, Vladivostok, U.S.S.R.
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Extract

In this paper a quantum-mechanical variational principle is proposed, in which the functional varied is the precision, with which the time-dependent Schrödinger equation is satisfied by the wave functions of the given class. Another distinctive feature of our approach is that the independently varied functions are the time derivatives of the one-particle wave functions, of which the wave function of the system is constructed.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 98 , Issue 2 , September 1985 , pp. 373 - 379
Copyright
Copyright © Cambridge Philosophical Society 1985

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References

REFERENCES

[1]Dirac, P. A. M.. Note on exchange phenomena in the Thomas atom. Proc. Cambridge Philos. Soc. 26 (1930), 376–385.CrossRefGoogle Scholar
[2]Thouless, D. J.. The Quantum Mechanics of Many-body Systems (Academic Press, 1972).Google Scholar