A General Criterion of Quantum Integrability Accommodating Central Charges and Anomalies

Details A General Criterion of Quantum Integrability Accommodating Central Charges and Anomalies A General Criterion of Quantum Integrability Accommodating Central Charges and Anomalies

2004-04-29

arxiv.org/abs/quant-ph/0404167v1

Physics

Quantum Physics

9 pages

Scientific paper

A simple quantum generalisation of the Liouville-Arnold criterion of classical integrability is proposed: A system is quantum-integrable if it has an abelian Lie group of Wigner symmetries of dimension equal to the number of degrees of freedom. The criterion goes significantly beyond the familiar case of involutive conserved operators to cover systems with anomalies in which involutivity is modified by central charges. "Anomalous" quantum integrability is shown to have all the expected consequences including exact diagonalisability. The approach throws new light on the origin of Weyl group invariance.

Affiliated with

Also associated with

No associations

Rating

A General Criterion of Quantum Integrability Accommodating Central Charges and Anomalies 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 A General Criterion of Quantum Integrability Accommodating Central Charges and Anomalies, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A General Criterion of Quantum Integrability Accommodating Central Charges and Anomalies will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-567893