Uniform nonlinear evolution equations for pure and mixed quantum states

Journal Article · Wed Feb 01 04:00:00 EST 1995 · Annals of Physics (New York)

DOI:https://doi.org/10.1006/aphy.1995.1010· OSTI ID:165242

Dodonov, V V; Mizrahi, S S ^[1]

---

1. Departamento de Fisica, Universidade Federal de Sao Carlos, Via Washington Luiz, km 235, Caixa Postal 676, 13565-905 Sao Carlos, SP (Brazil)

We propose a new class of nonlinear evolution equations, satisfying the homogeneity condition, for pure and mixed quantum states. These equations are generalizations of the nonlinear Schroedinger equation, recently proposed by Doebner and Goldin for the wave function written in positional coordinates. The new model is applied to investigate the relaxation processes in systems with equidistant spectra (spin and harmonic oscillator), both in discrete and continuous representations. {copyright} 1995 Academic Press, Inc.

• OSTI ID: 165242
• Journal Information: Annals of Physics (New York), Journal Name: Annals of Physics (New York) Journal Issue: 2 Vol. 237; ISSN APNYA6; ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
DENSITY MATRIX
FOCK REPRESENTATION
HARMONIC OSCILLATORS
NONLINEAR PROBLEMS
QUANTUM MECHANICS
RELAXATION
SCHROEDINGER EQUATION