scholarly journals Complementarity and the algebraic structure of finite quantum systems

2009 ◽  
Vol 143 ◽  
pp. 012011
Author(s):  
Dénes Petz
Keyword(s):  
Algebraic Structure ◽  
Quantum Systems ◽  
Finite Quantum Systems

scholarly journals A NEW ALGEBRAIC STRUCTURE OF FINITE QUANTUM SYSTEMS AND THE MODIFIED BESSEL FUNCTIONS

2007 ◽  
Vol 04 (07) ◽  
pp. 1205-1215 ◽  
Author(s):  
KAZUYUKI FUJII
Keyword(s):  
Quantum Mechanics ◽  
Algebraic Structure ◽  
Bessel Functions ◽  
Quantum Systems ◽  
Modified Bessel Functions ◽  
Level System ◽  
Integer Order ◽  
Pauli Matrices ◽  
Finite Quantum Systems

In this paper we present a new algebraic structure (a superhyperbolic system in our terminology) for finite quantum systems, which is a generalization of the usual one in the two-level system. It fits into the so-called generalized Pauli matrices, so they play an important role in theory. Some deep relation to the modified Bessel functions of integer order is pointed out. By taking a skillful limit finite quantum systems become quantum mechanics on the circle developed by Ohnuki and Kitakado.

Oscillations in Finite Quantum Systems

Physics Today ◽  
1995 ◽  
Vol 48 (5) ◽  
pp. 68-69 ◽  
Author(s):  
G. F. Bertsch ◽  
R. A. Broglia ◽  
Herman Feshbach
Keyword(s):  
Quantum Systems ◽  
Finite Quantum Systems

scholarly journals Paths of zeros of analytic functions describing finite quantum systems

2016 ◽  
Vol 380 (4) ◽  
pp. 548-553
Author(s):  
H. Eissa ◽  
P. Evangelides ◽  
C. Lei ◽  
A. Vourdas
Keyword(s):  
Analytic Functions ◽  
Quantum Systems ◽  
Zeros Of Analytic Functions ◽  
Finite Quantum Systems

scholarly journals Entanglement revivals as a probe of scrambling in finite quantum systems

2020 ◽  
Vol 2020 (8) ◽  
pp. 083110 ◽  
Author(s):  
Ranjan Modak ◽  
Vincenzo Alba ◽  
Pasquale Calabrese
Keyword(s):  
Quantum Systems ◽  
Finite Quantum Systems

scholarly journals Entanglement in Finite Quantum Systems Under Twisted Boundary Conditions

2018 ◽  
Vol 48 (5) ◽  
pp. 451-466
Author(s):  
Krissia Zawadzki ◽  
Irene D’Amico ◽  
Luiz N. Oliveira
Keyword(s):  
Boundary Conditions ◽  
Quantum Systems ◽  
Finite Quantum Systems ◽  
Twisted Boundary Conditions
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