Geometry of Phase Space Structures and its Properties

Main Article Content

U.S. Negi

Abstract

In this paper, we have discussed Geometry of phase space structures and its properties to be expected Conjugate moment; Statistical ensembles in phase space; Phase integral; Motivation for Specific Phase Space Structures; Thermodynamics and statistical mechanics. The Manifold-Based model decline techniques discussed are theoretically based lying on Slow Invariant Manifolds. It engrosses ordinary differential equations and in general dynamical systems during accumulation to Separatrices; Semi-quantum Riemannian geometry; Quantisation of the metric and Levi-Civita connection.

Downloads

Download data is not yet available.

Article Details

Section

Articles

How to Cite

1.
Geometry of Phase Space Structures and its Properties . J. Int. Acad. Phys. Sci. [Internet]. 2025 Mar. 15 [cited 2026 Oct. 23];29(1):13-9. Available from: http://www.iaps.org.in/journal/index.php/journaliaps/article/view/660

References

J. Albersmeyer and M. Diehl; The Lifted Newton Method and Its Application in Optimization, SIAM Journal on Optimization, 20-3 (2010), 1655-1684.

A. N. Al-Khateeb; One-dimensional slow invariant manifolds for spatially homogenous reactive systems, Journal of Chemical Physics, 131-2 (2009), 024-118.

K. A. Broughan and A. R. Barnett; The holomorphic flow of the Riemann zeta function, Mathematics of Computation, 73 (2004), 987-1004.

E. J. Beggs and S. P. Smith; Noncommutative complex differential geometry, Jour. of Geometry and Physics, 72 (2013), 7-33.

D.C. Brody and L.P. Hughston; Geometric quantum mechanics, J. Geom. Phys. 38 (2001), 19-53.

N. M. Laurendeau; Statistical Thermodynamics: Fundamentals and Applications, New York: Cambridge University Press, 2005, ISBN 0-521-84635-8.

E. J. Beggs and S. Majid; Semiquantisation function and Poisson Riemannian geometry, arXiv: 1403.4231 (math.QA), (2014).