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Exponential approximation for the density matrix and the Wigner's distribution

โœ Scribed by M. Berkowitz


Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
222 KB
Volume
129
Category
Article
ISSN
0009-2614

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โœฆ Synopsis


It is shown that the local thermodynamic description of the ground state of a many-electron system, earlier proposed by Ghosh, Berkowitz and Parr, is equivalent to a well defined approximation for the density matrix and therefore for the Wigner's distribution.


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โœ Karl Meerbergen; Miloud Sadkane ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 197 KB

This paper presents a new look at Davidson's method for the calculation of the rightmost eigenvalue(s). The combination of time-stepping by the Krylov exponential propagator and the Davidson method leads to a method that builds a Krylov space of the matrix exponential. The method is well-suited when