Wigner's phase space function and the bond in LiH

1983 ◽  
Vol 63 (4) ◽  
pp. 349-356 ◽  
Author(s):  
Michael Springborg
Keyword(s):  
Phase Space ◽  
Space Function ◽  
Phase Space Function

scholarly journals DEFORMATION QUANTIZATION AND WIGNER FUNCTIONS

2005 ◽  
Vol 20 (17n18) ◽  
pp. 1371-1385 ◽  
Author(s):  
N. COSTA DIAS ◽  
J. N. PRATA
Keyword(s):  
Quantum Mechanics ◽  
Phase Space ◽  
Deformation Quantization ◽  
Wigner Distribution ◽  
Sufficient Conditions ◽  
Wigner Functions ◽  
Space Function ◽  
Wigner Spectrum ◽  
Necessary And Sufficient ◽  
Phase Space Function

We review the Weyl-Wigner formulation of quantum mechanics in phase space. We discuss the concept of Narcowich-Wigner spectrum and use it to state necessary and sufficient conditions for a phase space function to be a Wigner distribution. Based on this formalism we analize the modifications introduced by the presence of boundaries. Finally, we discuss the concept of environment-induced decoherence in the context of the Weyl-Wigner approach.

scholarly journals Quantum phase-space function formulation of reactive flux theory

2003 ◽  
Vol 119 (2) ◽  
pp. 680-695 ◽  
Author(s):  
Debashis Barik ◽  
Suman Kumar Banik ◽  
Deb Shankar Ray
Keyword(s):  
Phase Space ◽  
Quantum Phase ◽  
Function Formulation ◽  
Space Function ◽  
Phase Space Function ◽  
Reactive Flux

Wigner's phase space function and atomic structure

1982 ◽  
Vol 47 (5) ◽  
pp. 1001-1019 ◽  
Author(s):  
Jens Peder Dahl ◽  
Michael Springborg
Keyword(s):  
Phase Space ◽  
Atomic Structure ◽  
Space Function ◽  
Phase Space Function

scholarly journals Quark-hadron duality for heavy meson mixings in the ’t Hooft model

2021 ◽  
Vol 2021 (9) ◽  
Author(s):  
Hiroyuki Umeeda
Keyword(s):  
Heavy Meson ◽  
Four Dimensions ◽  
Width Difference ◽  
Dimensional Spacetime ◽  
Gim Mechanism ◽  
Order Of Magnitude ◽  
Space Function ◽  
Inclusive Analysis ◽  
Phase Space Function ◽  
Hadron Duality

Abstract We study local quark-hadron duality and its violation for the $$ {D}^0-{\overline{D}}^0 $$ D 0 − D ¯ 0 , $$ {B}_d^0-{\overline{B}}_d^0 $$ B d 0 − B ¯ d 0 and $$ {B}_s^0-{\overline{B}}_s^0 $$ B s 0 − B ¯ s 0 mixings in the ’t Hooft model, offering a laboratory to test QCD in two-dimensional spacetime together with the large-Nc limit. With the ’t Hooft equation being numerically solved, the width difference is calculated as an exclusive sum over two-body decays. The obtained rate is compared to inclusive one that arises from four-quark operators to check the validity of the heavy quark expansion (HQE). In view of the observation in four-dimensions that the HQE prediction for the width difference in the $$ {D}^0-{\overline{D}}^0 $$ D 0 − D ¯ 0 mixing is four orders of magnitude smaller than the experimental data, in this work we investigate duality violation in the presence of the GIM mechanism. We show that the order of magnitude of the observable in the $$ {D}^0-{\overline{D}}^0 $$ D 0 − D ¯ 0 mixing is enhanced in the exclusive analysis relative to the inclusive counterpart, when the 4D-like phase space function is used for the inclusive analysis. By contrast, it is shown that for the $$ {B}_d^0-{\overline{B}}_d^0 $$ B d 0 − B ¯ d 0 and $$ {B}_s^0-{\overline{B}}_s^0 $$ B s 0 − B ¯ s 0 mixings, small yet non-negligible corrections to the inclusive result emerge, which are still consistent with what is currently indicated in four-dimensions.

A one-dimensional self-gravitating stellar gas

1966 ◽  
Vol 25 ◽  
pp. 46-48 ◽  
Author(s):  
M. Lecar
Keyword(s):  
Gravitational Field ◽  
Phase Space ◽  
Motion Picture ◽  
Space Distribution ◽  
Two Dimensional ◽  
One Dimensional ◽  
Phase Space Distribution ◽  
Dimensional Phase Space ◽  
The Mean

“Dynamical mixing”, i.e. relaxation of a stellar phase space distribution through interaction with the mean gravitational field, is numerically investigated for a one-dimensional self-gravitating stellar gas. Qualitative results are presented in the form of a motion picture of the flow of phase points (representing homogeneous slabs of stars) in two-dimensional phase space.

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