Adelic Harmonic Oscillator

Details Adelic Harmonic Oscillator Adelic Harmonic Oscillator

2004-04-21

arxiv.org/abs/hep-th/0404160v1

Int.J.Mod.Phys. A10 (1995) 2349-2365

Physics

High Energy Physics

High Energy Physics - Theory

20 pages

Scientific paper

Using the Weyl quantization we formulate one-dimensional adelic quantum mechanics, which unifies and treats ordinary and $p$-adic quantum mechanics on an equal footing. As an illustration the corresponding harmonic oscillator is considered. It is a simple, exact and instructive adelic model. Eigenstates are Schwartz-Bruhat functions. The Mellin transform of a simplest vacuum state leads to the well known functional relation for the Riemann zeta function. Some expectation values are calculated. The existence of adelic matter at very high energies is suggested.

Affiliated with

Also associated with

No associations

Rating

Adelic Harmonic Oscillator 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 Adelic Harmonic Oscillator, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Adelic Harmonic Oscillator will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-18557