Quantum mechanics of a free particle from properties of the Dirac delta function

Details Quantum mechanics of a free particle from properties of the Dirac delta function Quantum mechanics of a free particle from properties of the Dirac delta function

2010-07-24

arxiv.org/abs/1007.4243v2

American Journal of Physics 79: 392 (2011)

Physics

Mathematical Physics

3 pages

Scientific paper

10.1119/1.3533715

Based on the assumption that the probability density of finding a free particle is independent of position, we infer the form of the eigenfunction for the free particle, $\bra{x} p > = \exp(ipx/\hbar)/\sqrt{2\pi\hbar}$. The canonical commutation relation between the momentum and position operators and the Ehrenfest theorem in the free particle case are derived solely from differentiation of the delta function and the form of $\bra{x} p >$.

Affiliated with

Also associated with

No associations

Rating

Quantum mechanics of a free particle from properties of the Dirac delta function 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 Quantum mechanics of a free particle from properties of the Dirac delta function, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantum mechanics of a free particle from properties of the Dirac delta function will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-369046