Quantum-Mechanical Dualities on the Torus

Details Quantum-Mechanical Dualities on the Torus Quantum-Mechanical Dualities on the Torus

2003-10-27

arxiv.org/abs/quant-ph/0310158v2

Mod.Phys.Lett. A19 (2004) 1733-1744

Physics

Quantum Physics

New examples added, some precisions made

Scientific paper

10.1142/S0217732304014860

On classical phase spaces admitting just one complex-differentiable structure, there is no indeterminacy in the choice of the creation operators that create quanta out of a given vacuum. In these cases the notion of a quantum is universal, i.e., independent of the observer on classical phase space. Such is the case in all standard applications of quantum mechanics. However, recent developments suggest that the notion of a quantum may not be universal. Transformations between observers that do not agree on the notion of an elementary quantum are called dualities. Classical phase spaces admitting more than one complex-differentiable structure thus provide a natural framework to study dualities in quantum mechanics. As an example we quantise a classical mechanics whose phase space is a torus and prove explicitly that it exhibits dualities.

Affiliated with

Also associated with

No associations

Rating

Quantum-Mechanical Dualities on the Torus 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 Quantum-Mechanical Dualities on the Torus, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantum-Mechanical Dualities on the Torus will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-374994