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A solution of the non-uniqueness problem of the Dirac Hamiltonian and energy operators
non-uniqueness problem Dirac Hamiltonian energy operators General Relativity and Quantum Cosmology
2011/10/9
Abstract: In a general spacetime, the possible choices for the field of orthonormal tetrads lead (in standard conditions) to equivalent Dirac equations. However, the Hamiltonian operator is got from r...
We prove that the kernels of Fourier–Mukai functors are not unique in general. On the other hand we show that the cohomology sheaves of those kernels are unique. We also discuss several properties of ...
Non-uniqueness of the Dirac theory in a curved spacetime
curved spacetime Non-uniqueness Dirac theory
2010/3/17
We summarize a recent work on the subject title. The Dirac equation in a curved spacetime depends on a field of coefficients (essentially the Dirac matrices), for which a continuum of different choice...