Particle Propagator in Elementary Quantum Mechanics: a New Path Integral Derivation

Details Particle Propagator in Elementary Quantum Mechanics: a New Path Integral Derivation Particle Propagator in Elementary Quantum Mechanics: a New Path Integral Derivation

1999-10-16

arxiv.org/abs/quant-ph/9910074v1

Eur.J.Phys. 21 (2000) 1-12

Physics

Quantum Physics

LaTex uses iopams package, 15pages, no figures, in print on Euro.J.of Phys

Scientific paper

10.1088/0143-0807/21/1/301

This paper suggests a new way to compute the path integral for simple quantum mechanical systems. The new algorithm originated from previous research in string theory. However, its essential simplicity is best illustrated in the case of a free non relativistic particle, discussed here, and can be appreciated by most students taking an introductory course in Quantum Mechanics. Indeed, the emphasis is on the role played by the {\it entire family of classical trajectories} in terms of which the path integral is computed exactly using a functional representation of the Dirac delta-distribution. We argue that the new algorithm leads to a deeper insight into the connection between classical and quantum systems, especially those encountered in high energy physics.

Affiliated with

Also associated with

No associations

Rating

Particle Propagator in Elementary Quantum Mechanics: a New Path Integral Derivation 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 Particle Propagator in Elementary Quantum Mechanics: a New Path Integral Derivation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Particle Propagator in Elementary Quantum Mechanics: a New Path Integral Derivation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-594273