Prog. Theor. Phys. Vol. 78 No. 6 (1987) pp. 1487-1507

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Stability Conditions in Quantum System

— A General Formalism —

Reijiro Fukuda

Department of Physics, Faculty of Science and Technology, Keio University, Yokohama 223

(Received July 8, 1987)

Abstract:

A systematic method is presented for studying the stability of the solution of a quantum system with both zero temperature and non-zero temperature. It employs the generalized action functional and its first and second derivatives. The zero eigenvalue and corresponding eigenvector of the matrix constructed by the second derivative of the action functional determine the eigenmode of the spectrum. It gives the generalized on-shell condition applicable to the space-time translation non-invariant case also.
The method provides at the same time a general formalism of deriving exact bound state equation.

URL : http://ptp.ipap.jp/link?PTP/78/1487/
DOI : 10.1143/PTP.78.1487

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Citing Article(s) :

Progress of Theoretical Physics Vol. 87 No. 3 (1992) pp. 703-726 :
Derivation of the 4-Body Bound-State Equation from the Effective Action

Ko Okumura
Progress of Theoretical Physics Vol. 92 No. 4 (1994) pp. 833-862 :
Density Functional Theory through Legendre Transformation

Reijiro Fukuda, Takao Kotani, Yoko Suzuki and Satoshi Yokojima
Progress of Theoretical Physics Vol. 92 No. 4 (1994) pp. 863-879 :
Effective Action and Quantum Mechanics

Kenji Shiraishi and Reijiro Fukuda
Progress of Theoretical Physics Supplement No.121 (1995) pp. 1-428 :
Novel Use of Legendre Transformation in Field Theory and Many Particle Systems

Reijiro Fukuda, Masahiro Komachiya, Satoshi Yokojima, Yoko Suzuki, Ko Okumura and Takeshi Inagaki