Impossibility of Measuring the Wave Function of a Single Quantum System

1996 ◽  
Vol 76 (16) ◽  
pp. 2832-2835 ◽  
Author(s):  
G. M. D'Ariano ◽  
H. P. Yuen
2015 ◽  
Vol 342 (3) ◽  
pp. 965-988 ◽  
Author(s):  
Sheldon Goldstein ◽  
Joel L. Lebowitz ◽  
Christian Mastrodonato ◽  
Roderich Tumulka ◽  
Nino Zanghì

Entropy ◽  
2019 ◽  
Vol 21 (8) ◽  
pp. 806 ◽  
Author(s):  
Andrei Khrennikov

This paper is aimed to dissociate nonlocality from quantum theory. We demonstrate that the tests on violation of the Bell type inequalities are simply statistical tests of local incompatibility of observables. In fact, these are tests on violation of the Bohr complementarity principle. Thus, the attempts to couple experimental violations of the Bell type inequalities with “quantum nonlocality” is really misleading. These violations are explained in the quantum theory as exhibitions of incompatibility of observables for a single quantum system, e.g., the spin projections for a single electron or the polarization projections for a single photon. Of course, one can go beyond quantum theory with the hidden variables models (as was suggested by Bell) and then discuss their possible nonlocal features. However, conventional quantum theory is local.


2017 ◽  
Vol 95 (5) ◽  
Author(s):  
Lingzhen Guo ◽  
Arne Grimsmo ◽  
Anton Frisk Kockum ◽  
Mikhail Pletyukhov ◽  
Göran Johansson

Science ◽  
1996 ◽  
Vol 271 (5256) ◽  
pp. 1703-1705 ◽  
Author(s):  
T. Plakhotnik ◽  
D. Walser ◽  
M. Pirotta ◽  
A. Renn ◽  
U. P. Wild

1991 ◽  
Vol 32 (1) ◽  
pp. 153-156 ◽  
Author(s):  
Yu. A. Kuperin ◽  
S. P. Merkuriev ◽  
E. A. Yarevsky

2015 ◽  
Vol 92 (3) ◽  
Author(s):  
Humairah Bassa ◽  
Sandeep K. Goyal ◽  
Sujit K. Choudhary ◽  
Hermann Uys ◽  
Lajos Diósi ◽  
...  

Symmetry ◽  
2022 ◽  
Vol 14 (1) ◽  
pp. 137
Author(s):  
Vadim V. Varlamov ◽  
Larisa D. Pavlova ◽  
Olga S. Babushkina

The group theoretical description of the periodic system of elements in the framework of the Rumer–Fet model is considered. We introduce the concept of a single quantum system, the generating core of which is an abstract C*-algebra. It is shown that various concrete implementations of the operator algebra depend on the structure of the generators of the fundamental symmetry group attached to the energy operator. In the case of the generators of the complex shell of a group algebra of a conformal group, the spectrum of states of a single quantum system is given in the framework of the basic representation of the Rumer–Fet group, which leads to a group-theoretic interpretation of the Mendeleev’s periodic system of elements. A mass formula is introduced that allows giving the termwise mass splitting for the main multiplet of the Rumer–Fet group. The masses of elements of the Seaborg table (eight-periodic extension of the Mendeleev table) are calculated starting from the atomic number Z=3 and going to Z=220. The continuation of the Seaborg homology between lanthanides and actinides is established with the group of superactinides. A 10-periodic extension of the periodic table is introduced in the framework of the group-theoretic approach. The multiplet structure of the extended table’s periods is considered in detail. It is shown that the period lengths of the system of elements are determined by the structure of the basic representation of the Rumer–Fet group. The theoretical masses of the elements of 10th and 11th periods are calculated starting from Z=221 and going to to Z=364. The concept of hypertwistor is introduced.


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