Some remarks on general covariance of quantum theory

Details Some remarks on general covariance of quantum theory Some remarks on general covariance of quantum theory

Aug 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977gregr...8..699s&link_type=abstract

General Relativity and Gravitation, vol. 8, Aug. 1977, p. 699-703.

Physics

Covariance, Eigenvectors, Heisenberg Theory, Quantum Theory, Eigenvalues, Einstein Equations, Hilbert Space, Quantum Mechanics, Schroedinger Equation

Scientific paper

The traditional formulation of quantum mechanics based on the Heisenberg picture or on the Schroedinger picture is reviewed critically, noting that the covariance of the relevant equations is destroyed by a unitary transformation. A covariant form of quantum theory that is valid ab initio in any frame of reference is outlined on the basis of the principle of fundamental covariance. Four fundamental laws are proposed: (1) Heisenberg's commutation rules, (2) the Heisenberg equation of motion for an operator, (3) an eigenvalue equation, and (4) an equation of motion for an eigenstate.

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