Deformation of quantum mechanics in fractional-dimensional space

Details Deformation of quantum mechanics in fractional-dimensional space Deformation of quantum mechanics in fractional-dimensional space

2001-07-10

arxiv.org/abs/quant-ph/0107062v2

J. Phys. A: Math. Gen. 34, 11059 (2001)

Physics

Quantum Physics

12 pages, some misprints have been corrected, two figures are added

Scientific paper

10.1088/0305-4470/34/49/321

A new kind of deformed calculus (the D-deformed calculus) that takes place in fractional-dimensional spaces is presented. The D-deformed calculus is shown to be an appropriate tool for treating fractional-dimensional systems in a simple way and quite analogous to their corresponding one-dimensional partners. Two simple systems, the free particle and the harmonic oscillator in fractional- dimensional spaces are reconsidered into the framework of the D-deformed quantum mechanics. Confined states in a D-deformed quantum well are studied. D-deformed coherent states are also found.

Affiliated with

Also associated with

No associations

Rating

Deformation of quantum mechanics in fractional-dimensional space 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 Deformation of quantum mechanics in fractional-dimensional space, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Deformation of quantum mechanics in fractional-dimensional space will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-419719