The nonlocality in the path integral description of the reduced density matrix for a system interacting with a classical harmonic bath can be eliminated through the introduction of auxiliary variables, leading to Markovian equations. By contrast, the presence of an imaginary part in quantum mechanical response functions appears to prohibit similar approaches, necessitating explicit treatment of quantum nonlocality.
REFERENCES
1.
W. H.
Miller
, N. C.
Handy
, and J. E.
Adams
, J. Chem. Phys.
72
, 99
(1980
).2.
3.
4.
A. Abragam, Principles of Nuclear Magnetism (Oxford University Press, New York, 1961).
5.
6.
R. P. Feynman and A. R. Hibbs, Quantum Mechanics and Path Integrals (McGraw-Hill, New York, 1965).
7.
8.
9.
10.
11.
12.
13.
14.
15.
This content is only available via PDF.
© 1998 American Institute of Physics.
1998
American Institute of Physics
You do not currently have access to this content.