Experimental status of quaternionic quantum mechanics

被引：7
作者：
Brumby, SP
Joshi, GC
机构：
[1] Res. Centre for High Energy Physics, School of Physics, University of Melbourne, Parkville
来源：
CHAOS SOLITONS & FRACTALS | 1996年 / 7卷 / 05期
基金：
澳大利亚研究理事会;
关键词：
D O I：
10.1016/0960-0779(95)00001-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Analysis of the logical foundations of quantum mechanics indicates the possibility of constructing a theory using quaternionic Hilbert spaces. Whether this mathematical structure reflects reality is a matter for experiment to decide. We review the only direct search for quaternionic quantum mechanics yet carried out and outline a recent proposal by the present authors to look for quaternionic effects in correlated multiparticle systems. We set out how such experiments might distinguish between the several quaternionic models proposed in the literature. Copyright (C) 1996 Elsevier Science Ltd.
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收藏
页码：747 / 752
页数：6
相关论文
共 35 条
[1]   SCATTERING AND DECAY THEORY FOR QUATERNIONIC QUANTUM-MECHANICS, AND THE STRUCTURE OF INDUCED T-NONCONSERVATION [J].
ADLER, SL .
PHYSICAL REVIEW D, 1988, 37 (12) :3654-3662
[2]  
ADLER SL, 1986, COMMUN MATH PHYS, V104, P611, DOI 10.1007/BF01211069
[3]   SUPERWEAK CP NONCONSERVATION ARISING FROM AN UNDERLYING QUATERNIONIC QUANTUM DYNAMICS [J].
ADLER, SL .
PHYSICAL REVIEW LETTERS, 1986, 57 (02) :167-169
[4]   GENERALIZED QUANTUM DYNAMICS [J].
ADLER, SL .
NUCLEAR PHYSICS B, 1994, 415 (01) :195-242
[5]  
ADLER SL, HEP9426 IASSNS
[6]  
ASPECT A, 1986, QUANTUM CONCEPTS SPA
[7]   The logic of quantum mechanics [J].
Birkhoff, G ;
von Neumann, J .
ANNALS OF MATHEMATICS, 1936, 37 :823-843
[8]  
BRUMBY SP, UNPUB PHYS REV A
[9]   BELLS THEOREM - EXPERIMENTAL TESTS AND IMPLICATIONS [J].
CLAUSER, JF ;
SHIMONY, A .
REPORTS ON PROGRESS IN PHYSICS, 1978, 41 (12) :1881-1927
[10]   OBSERVABILITY OF QUATERNIONIC QUANTUM-MECHANICS [J].
DAVIES, AJ ;
MCKELLAR, BHJ .
PHYSICAL REVIEW A, 1992, 46 (07) :3671-3675
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