Tomography of two-particle spin states

被引:44
作者
Andreev, VA [1 ]
Man'ko, VI [1 ]
机构
[1] Russian Acad Sci, PN Lebedev Phys Inst, Moscow 117924, Russia
基金
俄罗斯基础研究基金会;
关键词
D O I
10.1134/1.558651
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A new "classical" formulation of conventional quantum mechanics is used to construct a description of quantum states with spin j = 1/2 which uses only positive classical probabilities of observables instead of a complex density matrix. These probabilities are functions of points on a unit sphere which determine the directions relative to which the spin projections are measured. The proposed construction is a generalization of a system for tomography of the spin states of a single particle and may be used as a new method of measuring two-particle spin states. For pure spin states this method is exactly the same as the case of a single particle. Additional probabilities must be defined to describe mixed states. (C) 1998 American Institute of Physics. [S1063-7761(98)00508-3].
引用
收藏
页码:239 / 245
页数:7
相关论文
共 28 条
[1]   State reconstruction for a collection of two-level systems [J].
Agarwal, GS .
PHYSICAL REVIEW A, 1998, 57 (01) :671-673
[2]  
Berestetskii V. B., 1971, Relativistic Quantum Theory
[3]   A TOMOGRAPHIC APPROACH TO WIGNER FUNCTION [J].
BERTRAND, J ;
BERTRAND, P .
FOUNDATIONS OF PHYSICS, 1987, 17 (04) :397-405
[4]  
BOHM D, 1952, PHYS REV, V85, P166, DOI 10.1103/PhysRev.85.166
[5]   DENSITY OPERATORS AND QUASIPROBABILITY DISTRIBUTIONS [J].
CAHILL, KE ;
GLAUBER, RJ .
PHYSICAL REVIEW, 1969, 177 (5P1) :1882-+
[6]  
de Broglie L, 1926, CR HEBD ACAD SCI, V183, P447
[7]  
De Broglie L., 1927, CR HEBD ACAD SCI, V185, P380
[8]  
de Broglie L., 1927, CR HEBD ACAD SCI, V184, P273
[9]   Positive distribution description for spin states [J].
Dodonov, VV ;
Manko, VI .
PHYSICS LETTERS A, 1997, 229 (06) :335-339
[10]  
Landau L. D., 1927, Z PHYS, V45, P430, DOI DOI 10.1007/BF01343064