Discrete Symmetry in Relativistic Quantum Mechanics

Local U(2, 2) Symmetry in Relativistic Quantum Mechanics

Local gauge freedom in relativistic quantum mechanics is derived from a measurement principle for space and time. For the Dirac equation, one obtains local U(2, 2) gauge transformations acting on the spinor index of the wave functions. This local U(2, 2) symmetry allows a unified description of electrodynamics and general relativity as a classical gauge theory. 1 Connection between Local Gauge ...

Symmetry and Covariance of Non-relativistic Quantum Mechanics

On the basis of a 5-dimensional form of space-time transformations nonrelativistic quantum mechanics is reformulated in a manifestly covariant manner. The resulting covariance resembles that of the conventional relativistic quantum mechanics.

Considering Relativistic Symmetry as the First Principle of Quantum Mechanics

Abstract: On the basis of the relativistic symmetry of Minkowski space, we derive a Lorentz invariant equation for a spread electron. This equation slightly differs from the Dirac equation and includes additional terms originating from the spread of an electron. Further, we calculate the anomalous magnetic moment based on these terms. These calculations do not include any divergence; therefore,...

Symmetry in quantum mechanics

Symmetry in quantum mechanics