Duality and Quantum Mechanics

Details Duality and Quantum Mechanics Duality and Quantum Mechanics

2003-10-14

arxiv.org/abs/quant-ph/0310092v1

Physics

Quantum Physics

Presented at the Workshop in honour of Prof. J. A. de Azcarraga, june 9-11, 2003, Salamanca, Spain

Scientific paper

This Festschrift in honour of J. A. de Azcarraga gives an introduction to the concept of duality, i.e., to the relativity of the notion of a quantum, in the context of the quantum mechanics of a finite number of degrees of freedom. Although the concept of duality arises in string and M--theory, Vafa has argued that it should also have a counterpart in quantum mechanics, before moving on to second quantisation, fields, strings and branes. We illustrate our analysis with the case when classical phase space is complex projective space, but our conclusions can be generalised to other complex, symplectic phase spaces, both compact and noncompact.

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