scholarly journals Shape invariance in phase space

2012 ◽  
Vol 61 (1) ◽  
pp. 4-19 ◽  
Author(s):  
C. Rasinariu
Keyword(s):  
Phase Space ◽  
Shape Invariance

scholarly journals Classical Analog of Extended Phase Space SUSY and Its Breaking

2013 ◽  
Vol 2013 ◽  
pp. 1-10
Author(s):  
Gagik Ter-Kazarian
Keyword(s):  
Phase Space ◽  
Ground State ◽  
Degrees Of Freedom ◽  
Susy Breaking ◽  
Extended Phase Space ◽  
Extended Phase ◽  
Shape Invariance ◽  
Classical Analog ◽  
Algebraic Properties ◽  
Practical Measure

We derive the classical analog of the extended phase space quantum mechanics of the particle with odd degrees of freedom which gives rise to ()-realization of supersymmetry (SUSY) algebra. By means of an iterative procedure, we find the approximate ground state solutions to the extended Schrödinger-like equation and use these solutions further to calculate the parameters which measure the breaking of extended SUSY such as the ground state energy. Consequently, we calculate a more practical measure for the SUSY breaking which is the expectation value of an auxiliary field. We analyze nonperturbative mechanism for extended phase space SUSY breaking in the instanton picture and show that this has resulted from tunneling between the classical vacua of the theory. Particular attention is given to the algebraic properties of shape invariance and spectrum generating algebra.

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.

PHASE-SPACE CONSIDERATIONS IN THE TRANSVERSE MOMENTUM ANALYSIS

1987 ◽  
Vol 48 (C2) ◽  
pp. C2-233-C2-239
Author(s):  
P. DANIELEWICZ
Keyword(s):  
Phase Space ◽  
Transverse Momentum

Phase space of mechanical systems with a gauge group

1991 ◽  
Vol 161 (2) ◽  
pp. 13-75 ◽  
Author(s):  
Lev V. Prokhorov ◽  
Sergei V. Shabanov
Keyword(s):  
Phase Space ◽  
Gauge Group ◽  
Mechanical Systems

Numerical Study on Particle Distribution in Longitudinal Phase Space and Beam Current Profile using Compact Electron Beam Simulator for Heavy Ion Inertial Fusion

2017 ◽  
Vol 137 (5) ◽  
pp. 344-348
Author(s):  
Takashi Kikuchi ◽  
Yasuo Sakai ◽  
Jun Hasegawa ◽  
Kazuhiko Horioka ◽  
Kazumasa Takahashi ◽  
...  
Keyword(s):  
Electron Beam ◽  
Phase Space ◽  
Particle Distribution ◽  
Numerical Study ◽  
Heavy Ion ◽  
Beam Current ◽  
Inertial Fusion ◽  
Current Profile ◽  
Longitudinal Phase

Void pattern fluctuation in p-AgBr interactions at 400 GeV/c

2016 ◽  
pp. 4115-4125
Author(s):  
Argha Deb
Keyword(s):  
Experimental Data ◽  
Phase Transition ◽  
Phase Space ◽  
Second Order ◽  
Hadron Phase

The event-by-event fluctuation of hadronic patterns is investigated by finding a measure of the non-hadronic regions, the voids, for the experimental data of p-AgBr interactions at 400 GeV/c considering the anisotropy of phase space. Two moments of the event-to-event fluctuation of voids, <Gq> and Sq have been calculated as defined by R. C. Hwa and Q. H. Zhang to quantify the dependence of the voids on the bin sizes. The results suggest that no quark-hadron phase transition of second order have taken place for p-AgBr interactions at 400 GeV/c. The result have been compared with the result of VENUS generated data.

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