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Time operator in relativistic quantum mechanics
146 viewed

Time operator in relativistic quantum mechanics

Khorasani, S

Time operator in relativistic quantum mechanics

Khorasani, S ; Sharif University of Technology

146 Viewed
  1. Type of Document: Article
  2. DOI: 10.1088/0253-6102/68/1/35
  3. Abstract:
  4. It is first shown that the Dirac's equation in a relativistic frame could be modified to allow discrete time, in agreement to a recently published upper bound. Next, an exact self-adjoint 4 × 4 relativistic time operator for spin-1/2 particles is found and the time eigenstates for the non-relativistic case are obtained and discussed. Results confirm the quantum mechanical speculation that particles can indeed occupy negative energy levels with vanishingly small but non-zero probablity, contrary to the general expectation from classical physics. Hence, Wolfgang Pauli's objection regarding the existence of a self-adjoint time operator is fully resolved. It is shown that using the time operator, a bosonic field referred here to as energons may be created, whose number state representations in non-relativistic momentum space can be explicitly found. © 2017 Chinese Physical Society and IOP Publishing Ltd
  5. Keywords:
  6. Foundations of quantum mechanics ; Operator theory ; Quantum mechanics ; Special relativity
  7. Source: Communications in Theoretical Physics ; Volume 68, Issue 1 , 2017 , Pages 35-38 ; 02536102 (ISSN)
  8. URL: http://iopscience.iop.org/article/10.1088/0253-6102/68/1/35/meta