"Evaluations" of Observables Versus Measurements in Quantum Theory

被引:0
作者
Nistico, Giuseppe [1 ,2 ]
Sestito, Angela [1 ,2 ]
机构
[1] Univ Calabria, Dipartimento Matemat, I-87036 Cosenza, Italy
[2] Ist Nazl Fis Nucl, Grp Coll Cosenza, Cosenza, Italy
关键词
Quantum Theory; Quantum Measurements; Consistent value assignment; Evaluations can replace measurements; JOINT MEASUREMENTS; COMPLEMENTARITY; MECHANICS; UNSHARP;
D O I
10.1007/s10773-015-2819-4
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In Quantum Physics there are circumstances where the direct measurement of a given observable encounters difficulties; in some of these cases, however, its value can be "evaluated", i. e. it can be inferred by measuring another observable characterized by perfect correlation with the observable of interest. Though an evaluation is often interpreted as a measurement of the evaluated observable, we prove that the two concepts cannot be identified in Quantum Physics, because the identification yields contradictions. Then, we establish the conceptual status of evaluations in Quantum Theory and how they are related to measurements.
引用
收藏
页码:1798 / 1810
页数:13
相关论文
共 20 条
[1]  
[Anonymous], 1981, The logic of quantum mechanics
[2]  
[Anonymous], 1983, Foundations of Quantum Mechanics
[3]   UNSHARP REALITY AND JOINT MEASUREMENTS FOR SPIN OBSERVABLES [J].
BUSCH, P .
PHYSICAL REVIEW D, 1986, 33 (08) :2253-2261
[4]   ON VARIOUS JOINT MEASUREMENTS OF POSITION AND MOMENTUM OBSERVABLES IN QUANTUM-THEORY [J].
BUSCH, P ;
LAHTI, PJ .
PHYSICAL REVIEW D, 1984, 29 (08) :1634-1646
[5]   CONDITIONAL PROBABILITIES IN QUANTUM-MECHANICS .1. CONDITIONING WITH RESPECT TO A SINGLE EVENT [J].
CASSINELLI, G ;
ZANGHI, N .
NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, 1983, 73 (02) :237-245
[6]   From unsharp to sharp quantum observables:: The general Hilbert space case [J].
Cattaneo, G ;
Nisticò, G .
JOURNAL OF MATHEMATICAL PHYSICS, 2000, 41 (07) :4365-4378
[7]  
Davies E. B., 1976, Quantum Theory of Open Systems
[8]  
Dixmier J., 1957, ALGEBRAS OPERATEURS
[9]  
Englert B.-G., 1990, NEW FRONTIERS QUANTU
[10]   Quantum erasure in double-slit interferometers with which-way detectors [J].
Englert, BG ;
Scully, MO ;
Walther, H .
AMERICAN JOURNAL OF PHYSICS, 1999, 67 (04) :325-329