Thermodynamics for trajectories of a mass point
محورهای موضوعی : Journal of Theoretical and Applied PhysicsYoshimasa Kurihara 1 , Khiem Hong Phan 2 , Nhi My Uyen Quach 3
1 - The High Energy Accelerator Organization (KEK)
2 - The Graduate University for Advanced Studies
3 - The Graduate University for Advanced Studies
کلید واژه: manifold, Quantum Mechanic, Mass Point, Particle Trajectory, Canonical Ensemble,
چکیده مقاله :
AbstractOn the basis of the theory of thermodynamics, a new formalism of classical nonrelativistic mechanics of a mass point is proposed. The particle trajectories of a general dynamical system defined on a (1+n)-dimensional smooth manifold are geometrically treated as dynamical variables. The statistical mechanics of particle trajectories are constructed in a classical manner. Thermodynamic variables are introduced through a partition function based on a canonical ensemble of trajectories. Within this theoretical framework, classical mechanics can be interpreted as an equilibrium state of statistical mechanics. The relationship between classical and quantum mechanics is discussed from the viewpoint of statistical mechanics. The maximum-entropy principle is shown to provide a unified view of both classical and quantum mechanics.
