Amplitude phase-space model for quantum mechanics

1985 ◽  
Vol 24 (4) ◽  
pp. 343-353 ◽  
Author(s):  
Stanley P. Gudder
Entropy ◽  
2021 ◽  
Vol 23 (5) ◽  
pp. 581
Author(s):  
Jaromir Tosiek ◽  
Maciej Przanowski

We focus on several questions arising during the modelling of quantum systems on a phase space. First, we discuss the choice of phase space and its structure. We include an interesting case of discrete phase space. Then, we introduce the respective algebras of functions containing quantum observables. We also consider the possibility of performing strict calculations and indicate cases where only formal considerations can be performed. We analyse alternative realisations of strict and formal calculi, which are determined by different kernels. Finally, two classes of Wigner functions as representations of states are investigated.


2013 ◽  
Vol 43 (7) ◽  
pp. 829-839 ◽  
Author(s):  
Carlos Sánchez-Azqueta ◽  
Cecilia Gimeno ◽  
Concepción Aldea ◽  
Santiago Celma

2014 ◽  
Vol 22 (1) ◽  
pp. 338 ◽  
Author(s):  
Roarke Horstmeyer ◽  
Changhuei Yang

1990 ◽  
Vol 103 (2) ◽  
pp. 309-316 ◽  
Author(s):  
A. Bonasera ◽  
G. F. Burgio ◽  
F. Gulminelli ◽  
H. H. Wolter

2013 ◽  
Vol 435 (1) ◽  
pp. 378-399 ◽  
Author(s):  
Robyn E. Sanderson ◽  
Amina Helmi

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