scholarly journals Mode regularization, time slicing, Weyl ordering, and phase space path integrals for quantum-mechanical nonlinear sigma models

1998 ◽  
Vol 58 (4) ◽  
Author(s):  
Fiorenzo Bastianelli ◽  
Koenraad Schalm ◽  
Peter van Nieuwenhuizen
Keyword(s):  
Phase Space ◽  
Sigma Models ◽  
Path Integrals ◽  
Quantum Mechanical ◽  
Weyl Ordering ◽  
Time Slicing ◽  
Nonlinear Sigma Models

scholarly journals Semi-Classical Localisation Properties of Quantum Oscillators on a Noncommutative Configuration Space

2015 ◽  
Vol 22 (04) ◽  
pp. 1550021 ◽  
Author(s):  
Fabio Benatti ◽  
Laure Gouba
Keyword(s):  
Phase Space ◽  
Configuration Space ◽  
Classical Limit ◽  
Coherent States ◽  
Point Of View ◽  
Quantum Mechanical ◽  
Wigner Functions ◽  
Quantum Mechanical Oscillators ◽  
Mechanical Oscillators ◽  
Space Noncommutativity

When dealing with the classical limit of two quantum mechanical oscillators on a noncommutative configuration space, the limits corresponding to the removal of configuration-space noncommutativity and position-momentum noncommutativity do not commute. We address this behaviour from the point of view of the phase-space localisation properties of the Wigner functions of coherent states under the two limits.

scholarly journals Loop calculations in quantum-mechanical non-linear sigma models

1995 ◽  
Vol 446 (1-2) ◽  
pp. 211-222 ◽  
Author(s):  
Jan de Boer ◽  
Bas Peeters ◽  
Kostas Skenderis ◽  
Peter van Nieuwenhuizen
Keyword(s):  
Sigma Models ◽  
Quantum Mechanical ◽  
Non Linear ◽  
Linear Sigma Models
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