SPECTRAL REPRESENTATION OF THE MANY-TIME, CAUSAL GREEN'S FUNCTION IN NONRELATIVISTIC MANY-BODY THEORY
The exact spectral representation of the many-time, causal Green's function, which is the ground-state average of the time-ordered product of creation and annihilation operators in the Reisenberg picture, is obtained by taking the time Fourier transform of the function. This spectral represertation shows that the function has poles at the excitation energies, and residues that are related to the state amplitudes. The usual two-time Green's function can be Written in terms of the many-time Green's function, and the two-time spectral representation may be obtained from the many-time. spectral representation by a process of integration. The two-time spectral represertation obtained in this manner agrees with the one obtained directly, but the derivation gives some insight into the relation between the two spectral representations. (auth)
- Research Organization:
- Univ. of Minnesota, Minneapolis
- NSA Number:
- NSA-17-000725
- OSTI ID:
- 4770723
- Journal Information:
- Annals of Physics (New York) (U.S.), Vol. Vol: 19; Other Information: Orig. Receipt Date: 31-DEC-63
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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