Time as a Dynamical Variable

Details Time as a Dynamical Variable Time as a Dynamical Variable

2003-11-27

arxiv.org/abs/quant-ph/0311188v3

Physics

Quantum Physics

This paper has been withdrawn by the author due to an alternative submit (arXiv:quant-ph/0609211)

Scientific paper

There are enough reasons for us to consider time as a dynamical variable or operator; but according to Pauli's argument the existence of a self-adjoint time operator is incompatible with the semi-boundedness of Hamiltonian spectrum. In this article, we study the expressions of time operator and the definitions of mean time from a general and new viewpoint, make a new comment on Pauli's objections, and clarify some possible confusion in existing theories of time in quantum mechanics. From which we try to provide a new gateway for the conundrum of time in quantum mechanics and reconstruct a unified foundation for some issues of time.

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