Consistent histories, quantum truth functionals, and hidden variables

被引:10
作者
Griffiths, RB [1 ]
机构
[1] Carnegie Mellon Univ, Dept Phys, Pittsburgh, PA 15213 USA
基金
美国国家科学基金会;
关键词
D O I
10.1016/S0375-9601(99)00888-9
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A central principle of consistent histories quantum theory, the requirement that quantum descriptions he based upon a single framework (or family), is employed to show that there is no conflict between consistent histories and a no-hidden-variables theorem of Bell, and Kochen and Specker, contrary to a recent claim by Bassi and Ghirardi. The argument makes use of 'truth functionals' defined on a Boolean algebra of classical or quantum properties. (C) 2000 Published by Elsevier Science B.V. All rights reserved.
引用
收藏
页码:12 / 19
页数:8
相关论文
共 18 条
[1]   Can the decoherent histories description of reality be considered satisfactory? [J].
Bassi, A ;
Ghirardi, GC .
PHYSICS LETTERS A, 1999, 257 (5-6) :247-263
[2]  
BASSI A, COMMUNICATION
[3]   ON PROBLEM OF HIDDEN VARIABLES IN QUANTUM MECHANICS [J].
BELL, JS .
REVIEWS OF MODERN PHYSICS, 1966, 38 (03) :447-&
[4]   The logic of quantum mechanics [J].
Birkhoff, G ;
von Neumann, J .
ANNALS OF MATHEMATICS, 1936, 37 :823-843
[5]  
Gell-Mann M., 1990, Complexity, Entropy, and the Physics of Information'
[6]   CONSISTENT HISTORIES AND THE INTERPRETATION OF QUANTUM-MECHANICS [J].
GRIFFITHS, RB .
JOURNAL OF STATISTICAL PHYSICS, 1984, 36 (1-2) :219-272
[7]   Consistent histories and quantum reasoning [J].
Griffiths, RB .
PHYSICAL REVIEW A, 1996, 54 (04) :2759-2774
[8]   Comment on "Consistent sets yield contrary inferences in quantum theory" [J].
Griffiths, RB ;
Hartle, JB .
PHYSICAL REVIEW LETTERS, 1998, 81 (09) :1981-1981
[9]   Choice of consistent family, and quantum incompatibility [J].
Griffiths, RB .
PHYSICAL REVIEW A, 1998, 57 (03) :1604-1618
[10]   Comment on "Consistent sets yield contrary inferences in quantum theory" - Reply [J].
Kent, A .
PHYSICAL REVIEW LETTERS, 1998, 81 (09) :1982-1982