scholarly journals The appearance of the resolved singular hypersurface in the classical phase space of the Lie group SU(n)

2004 ◽  
Vol 45 (6) ◽  
pp. 2124-2133
Author(s):  
Samir K. Paul ◽  
Siddhartha Sen
Keyword(s):  
Phase Space ◽  
Lie Group ◽  
Classical Phase Space ◽  
Singular Hypersurface

Classical nonlinearity and quantum decay: The effect of classical phase-space structures

2001 ◽  
Vol 64 (5) ◽  
Author(s):  
Yosef Ashkenazy ◽  
Luca Bonci ◽  
Jacob Levitan ◽  
Roberto Roncaglia
Keyword(s):  
Phase Space ◽  
Space Structures ◽  
Classical Phase Space

scholarly journals Generalized Hamiltonian biodynamics and topology invariants of humanoid robots

2002 ◽  
Vol 31 (9) ◽  
pp. 555-565 ◽  
Author(s):  
Vladimir Ivancevic
Keyword(s):  
Phase Space ◽  
Lie Group ◽  
Humanoid Robots ◽  
And Topology ◽  
Hamiltonian Model

Humanoid robots are anthropomorphic mechanisms with biodynamics that resembles human musculo-skeletal dynamics. This paper proposes a new generalized (dissipative, muscle-driven, stochastic) Hamiltonian model of humanoid biodynamics. Also, (co)homological analysis is performed on its Lie-group based configuration and momentum phase-space manifolds.

scholarly journals NONCOMMUTATIVE METAFLUID DYNAMICS

2006 ◽  
Vol 21 (03) ◽  
pp. 505-516 ◽  
Author(s):  
A. C. R. MENDES ◽  
C. NEVES ◽  
W. OLIVEIRA ◽  
F. I. TAKAKURA
Keyword(s):  
Phase Space ◽  
Nonlinear Equations ◽  
Equations Of Motion ◽  
Additional Term ◽  
Dissipative Force ◽  
Covariant Form ◽  
Covariant Quantization ◽  
Noncommutative Spaces ◽  
Classical Phase Space

In this paper we define a noncommutative (NC) metafluid dynamics.1,2 We applied the Dirac's quantization to the metafluid dynamics on NC spaces. First class constraints were found which are the same obtained in Ref. 4. The gauge covariant quantization of the nonlinear equations of fields on noncommutative spaces were studied. We have found the extended Hamiltonian which leads to equations of motion in the gauge covariant form. In addition, we show that a particular transformation3 on the usual classical phase space (CPS) leads to the same results as of the ⋆-deformation with ν = 0. Besides, we have shown that an additional term is introduced into the dissipative force due to the NC geometry. This is an interesting feature due to the NC nature induced into model.

scholarly journals Intramolecular vibrational energy redistribution and the quantum ergodicity transition: a phase space perspective

2020 ◽  
Vol 22 (20) ◽  
pp. 11139-11173 ◽  
Author(s):  
Sourav Karmakar ◽  
Srihari Keshavamurthy
Keyword(s):  
Phase Space ◽  
Energy Flow ◽  
Vibrational Energy ◽  
Energy Redistribution ◽  
Quantum Ergodicity ◽  
Connected Network ◽  
Intramolecular Vibrational Energy Redistribution ◽  
Vibrational Energy Flow ◽  
Classical Phase Space

The onset of facile intramolecular vibrational energy flow can be related to features in the connected network of anharmonic resonances in the classical phase space.

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