scholarly journals Imaginary-time quantum many-body theory out of equilibrium: Formal equivalence to Keldysh real-time theory and calculation of static properties

2012 ◽  
Vol 86 (15) ◽  
Author(s):  
Jong E. Han ◽  
Andreas Dirks ◽  
Thomas Pruschke
Keyword(s):  
Real Time ◽  
Many Body ◽  
Imaginary Time ◽  
Static Properties ◽  
Many Body Theory ◽  
Formal Equivalence ◽  
Time Quantum ◽  
Body Theory ◽  
Time Theory

THE HUBBARD-STRATONOVICH TRANSFORMATION AND THE HUBBARD MODEL

1991 ◽  
Vol 05 (06n07) ◽  
pp. 937-976 ◽  
Author(s):  
SANDRO SORELLA
Keyword(s):  
Wave Function ◽  
Hubbard Model ◽  
Ground State ◽  
Trial Wave Function ◽  
Many Body ◽  
Imaginary Time ◽  
Many Body Theory ◽  
Straightforward Application ◽  
Ground State Properties ◽  
Body Theory

The Hubbard-Stratonovich transformation allows one to formulate the problem of calculating the ground state properties of a many-body theory as one of sampling a distribution. This distribution is constructed by propagating a trial wave function under the influence of a one-body time-dependent external field. However, a straightforward application of the Hubbard-Stratonovich transformation gives distributions which are not always positive definite for a generic trial wave function. In this work it is rigorously shown that, for the Hubbard model, in many cases the non-positiveness of this distribution is not important for reaching the infinite imaginary time limit, i.e., the ground state properties.

On the many-body theory of nuclear reactions

1968 ◽  
Vol 111 (1) ◽  
pp. 392-416 ◽  
Author(s):  
K DIETRICH ◽  
K HARA
Keyword(s):  
Nuclear Reactions ◽  
Many Body ◽  
Many Body Theory ◽  
The Many ◽  
Body Theory

MANY-BODY THEORY FOR HYPERFINE EFFECTS IN ATOMS AND MOLECULES

1970 ◽  
Vol 31 (C4) ◽  
pp. C4-99-C4-104
Author(s):  
T. P. DAS ◽  
C. M. DUTTA ◽  
N. C. DUTTA
Keyword(s):  
Many Body ◽  
Atoms And Molecules ◽  
Many Body Theory ◽  
Body Theory

Test of closure approximations in equilibrium classical many‐body theory

1988 ◽  
Vol 88 (12) ◽  
pp. 7791-7798 ◽  
Author(s):  
Leslie J. Root ◽  
Frank H. Stillinger ◽  
Gary E. Washington
Keyword(s):  
Many Body ◽  
Many Body Theory ◽  
Closure Approximations ◽  
Body Theory
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