Coupled oscillators, entangled oscillators, and Lorentz-covariant harmonic oscillators

Details Coupled oscillators, entangled oscillators, and Lorentz-covariant harmonic oscillators Coupled oscillators, entangled oscillators, and Lorentz-covariant harmonic oscillators

2005-02-15

arxiv.org/abs/quant-ph/0502096v3

J.Opt.B Quant.Semiclass.Opt. 7 (2007) S458-S467

Physics

Quantum Physics

Typos corrected

Scientific paper

10.1088/1464-4266/7/12/005

Other than scattering problems where perturbation theory is applicable, there are basically two ways to solve problems in physics. One is to reduce the problem to harmonic oscillators, and the other is to formulate the problem in terms of two-by-two matrices. If two oscillators are coupled, the problem combines both two-by-two matrices and harmonic oscillators. This method then becomes a powerful research tool to cover many different branches of physics. Indeed, the concept and methodology in one branch of physics can be translated into another through the common mathematical formalism. Coupled oscillators provide clear illustrative examples for some of the current issues in physics, including entanglement and Feynman's rest of the universe. In addition, it is noted that the present form of quantum mechanics is largely a physics of harmonic oscillators. Special relativity is the physics of the Lorentz group which can be represented by the group of two-by-two matrices commonly called $SL(2,c)$. Thus the coupled harmonic oscillators can play the role of combining quantum mechanics with special relativity. It is therefore possible to relate the current issues of physics to the Lorentz-covariant formulation of quantum mechanics.

Affiliated with

Also associated with

No associations

Rating

Coupled oscillators, entangled oscillators, and Lorentz-covariant harmonic oscillators 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 Coupled oscillators, entangled oscillators, and Lorentz-covariant harmonic oscillators, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Coupled oscillators, entangled oscillators, and Lorentz-covariant harmonic oscillators will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-243147