Classical and Quantum Mechanics of Free \k Relativistic Systems

Details Classical and Quantum Mechanics of Free \k Relativistic Systems Classical and Quantum Mechanics of Free \k Relativistic Systems

1993-12-17

arxiv.org/abs/hep-th/9312153v1

Ann.Phys.243:90-116,1995

Physics

High Energy Physics

High Energy Physics - Theory

27 pages, DTP-57/93

Scientific paper

10.1006/aphy.1995.1092

We consider the Hamiltonian and Lagrangian formalism describing free \k-relativistic particles with their four-momenta constrained to the \k-deformed mass shell. We study the modifications of the formalism which follow from the introduction of space coordinates with nonvanishing Poisson brackets and from the redefinitions of the energy operator. The quantum mechanics of free \k-relativistic particles and of the free \k-relativistic oscillator is also presented. It is shown that the \k-relativistic oscillator describes a quantum statistical ensemble with finite Hagedorn temperature. The relation to a \k-deformed Schr\"odinger quantum mechanics in which the time derivative is replaced by a finite difference derivative is also discussed.

Affiliated with

Also associated with

No associations

Rating

Classical and Quantum Mechanics of Free \k Relativistic Systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Classical and Quantum Mechanics of Free \k Relativistic Systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Classical and Quantum Mechanics of Free \k Relativistic Systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-437794