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Quantizing Time

Kim Bostroem
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Abstract

A quantum mechanical theory is proposed which abandons an external parameter ``time'' in favor of a self-adjoint operator on a Hilbert space whose elements represent measurement events rather than system states. The standard quantum mechanical description is obtained in the idealized case of measurements of infinitely short duration. A theory of perturbation is developped. As a sample application Fermi's Golden Rule and the S-matrix are derived. The theory also offers a solution to the controversal issue of the time-energy uncertainty relation.

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Kim Bostroem. 2003-05-22. Quantizing Time. https://arxiv.org/abs/quant-ph/0301049

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