Note on the Wigner Representation of Quantum Operators

1965 ◽  
Vol 20 (8) ◽  
pp. 1523-1523
Author(s):  
R. Hirota ◽  
S. Tosima
Keyword(s):  
Wigner Representation ◽  
Quantum Operators

scholarly journals Quantum periods and TBA-like equations for a class of Calabi-Yau geometries

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Bao-ning Du ◽  
Min-xin Huang
Keyword(s):  
Large Class ◽  
Bethe Ansatz ◽  
Difference Equations ◽  
The Other ◽  
Elementary Functions ◽  
Quantum Dilogarithm ◽  
Thermodynamic Bethe Ansatz ◽  
Dilogarithm Function ◽  
Quantum Operators

Abstract We continue the study of a novel relation between quantum periods and TBA(Thermodynamic Bethe Ansatz)-like difference equations, generalize previous works to a large class of Calabi-Yau geometries described by three-term quantum operators. We give two methods to derive the TBA-like equations. One method uses only elementary functions while the other method uses Faddeev’s quantum dilogarithm function. The two approaches provide different realizations of TBA-like equations which are nevertheless related to the same quantum period.

Construction of quantum operators

1971 ◽  
Vol 14 (11) ◽  
pp. 1541-1544 ◽  
Author(s):  
V. V. Kuryshkin
Keyword(s):  
Quantum Operators
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