Free particle wavefunction in light of the minimum-length deformed quantum mechanics and some of its phenomenological implications

Details Free particle wavefunction in light of the minimum-length deformed quantum mechanics and some of its phenomenological implications Free particle wavefunction in light of the minimum-length deformed quantum mechanics and some of its phenomenological implications

2010-10-14

arxiv.org/abs/1010.2873v2

Phys. Rev.D84:044043, 2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages; Revised version - more explanations, to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.84.044043

At a fundamental level the notion of particle (quantum) comes from quantum field theory. From this point of view we estimate corrections to the free particle wave function due to minimum-length deformed quantum mechanics to the first order in the deformation parameter. Namely, in the matrix element $<0 |\varPhi(t,\,\mathbf{x}) |\mathbf{p} >$ that in the standard case sets the free particle wave function $\propto \exp(i[\mathbf{p}\mathbf{x} - \epsilon(\mathbf{p}) t])$ there appear three kinds of corrections when the field operator is calculated by using the minimum-length deformed quantum mechanics. Starting from the standard (not modified at the classical level) Lagrangian, after the field quantization we get a modified dispersion relation, and besides that we find that the particle's wave function contains a small fractions of an antiparticle wave function and the backscattered wave. The result leads to interesting implications for black hole physics.

Affiliated with

Also associated with

No associations

Rating

Free particle wavefunction in light of the minimum-length deformed quantum mechanics and some of its phenomenological implications 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 Free particle wavefunction in light of the minimum-length deformed quantum mechanics and some of its phenomenological implications, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Free particle wavefunction in light of the minimum-length deformed quantum mechanics and some of its phenomenological implications will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-285352