On the relation between Schrödinger and von Neumann equations

被引：0
|
作者：
V. I. Man'ko
G. Marmo
E. C. G. Sudarshan
F. Zaccaria
机构：
[1] Russian Academy of Sciences,P. N. Lebedev Physical Institute
[2] Universitá di Napoli “Federico II” and Istituto Nazionale di Fisica Nucleare,Dipartimento di Scienze Fisiche
[3] Sezione di Napoli,Physics Department, Center for Particle Physics
[4] University of Texas,undefined
来源：
Journal of Russian Laser Research | 1999年 / 20卷
关键词：
Density Matrix; Coherent State; Pure State; Density Matrice; Density Operator;
D O I：
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学科分类号：
摘要：
The relation between the density matrix obeying the von Neumann equation and the wave function obeying the Schrödinger equation is discussed in connection with the superposition principle of quantum states. The definition of the ray-addition law is given, and its relation to the addition law of vectors in the Hilbert space of states and the role of a constant phase factor of the wave function is elucidated. The superposition law of density matrices, Wigner functions, and tomographic probabilities describing quantum states in the probability representation of quantum mechanics is studied. Examples of spin-1/2 and Schrödinger-cat states of the harmonic oscillator are discussed. The connection of the addition law with the entanglement problem is considered.
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页码：421 / 437
页数：16
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