The reconstruction problem and weak quantum values

被引：7
作者：
de Gosson, Maurice A. [1 ]
de Gosson, Serge M. [2 ]
机构：
[1] Univ Vienna, Fac Math, NuHAG, A-1090 Vienna, Austria
[2] Swedish Social Insurance Agcy, Dept Anal & Forecasts, S-10351 Stockholm, Sweden
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2012年 / 45卷 / 11期
关键词：
PARITY OPERATOR;
D O I：
10.1088/1751-8113/45/11/115305
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Quantum mechanical weak values are an interference effect measured by the cross-Wigner transform W(phi, psi) of the post- and pre-selected states, leading to a complex quasi-distribution rho(phi,psi) (x, p) on phase space. We show that the knowledge of rho(phi,psi) (z) and of one of the two functions phi, psi unambiguously determines the other, thus generalizing a recent reconstruction result of Lundeen and his collaborators.
引用
收藏
页数：7
相关论文
共 26 条
[1]   TIME SYMMETRY IN QUANTUM PROCESS OF MEASUREMENT [J].
AHARONOV, Y ;
BERGMANN, PG ;
LEBOWITZ, JL .
PHYSICAL REVIEW B, 1964, 134 (6B) :1410-&
[2]  
Aharonov Y, 2005, QUANTUM PARADOXES: QUANTUM THEORY FOR THE PERPLEXED, P1, DOI 10.1002/9783527619115
[3]   PROPERTIES OF A QUANTUM SYSTEM DURING THE TIME INTERVAL BETWEEN 2 MEASUREMENTS [J].
AHARONOV, Y ;
VAIDMAN, L .
PHYSICAL REVIEW A, 1990, 41 (01) :11-20
[4]   A time-symmetric formulation of quantum mechanics [J].
Aharonov, Yakir ;
Popescu, Sandu ;
Tollaksen, Jeff .
PHYSICS TODAY, 2010, 63 (11) :27-32
[5]  
Aharonov Y, 2008, LECT NOTES PHYS, V734, P399, DOI 10.1007/978-3-540-73473-4_13
[6]  
Binz E., 2008, MATH SURVEYS MONOGRA, V151
[7]  
Cohen L., 1995, TIME FREQUENCY ANAL
[8]   The Pauli problem, state reconstruction and quantum-real numbers [J].
Corbett, JV .
REPORTS ON MATHEMATICAL PHYSICS, 2006, 57 (01) :53-68
[9]  
de Gosson M., 2006, SYMPLECTIC GEOMETRY, DOI DOI 10.1007/3-7643-7575-2
[10]   Weak values of a quantum observable and the cross-Wigner distribution [J].
de Gosson, Maurice A. ;
de Gosson, Serge M. .
PHYSICS LETTERS A, 2012, 376 (04) :293-296
123