Quantizing Time
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.
- Publication:
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arXiv e-prints
- Pub Date:
- January 2003
- DOI:
- 10.48550/arXiv.quant-ph/0301049
- arXiv:
- arXiv:quant-ph/0301049
- Bibcode:
- 2003quant.ph..1049B
- Keywords:
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- Quantum Physics
- E-Print:
- REVTEX4, 15 pages, 3 figures. Radically revised version