Quantization of classical integrable systems. Part I: quasi-integrable quantum systems

Details Quantization of classical integrable systems. Part I: quasi-integrable quantum systems Quantization of classical integrable systems. Part I: quasi-integrable quantum systems

2010-01-26

arxiv.org/abs/1001.4685v1

Physics

Mathematical Physics

30 pages

Scientific paper

We propose in this work a concept of integrability for quantum systems, which corresponds to the concept of noncommutative integrability for systems in classical mechanics. We determine a condition for quantum operators which can be a suitable replacement for the condition of functional independence for functions on the classical phase space. This condition is based on the properties of the main parts of the operators with respect to the momenta. We are led in this way to the definition of what we call a "quasi-integrable quantum system". This concept will be further developed in a series of following papers.

Affiliated with

Also associated with

No associations

Rating

Quantization of classical integrable systems. Part I: quasi-integrable quantum systems 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 Quantization of classical integrable systems. Part I: quasi-integrable quantum systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantization of classical integrable systems. Part I: quasi-integrable quantum systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-644706