46 citations · 124 across the 25 of their papers we have counts for
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gr-qc2011★ 10 cited
A Modified Method for Deriving Self-Conjugate Dirac Hamiltonians in Arbitrary Gravitational Fields and Its Application to Centrally and Axially Symmetric Gravitational Fields
M. V. Gorbatenko, V. P. Neznamov
We have proposed previously a method for constructing self-conjugate Hamiltonians H_eta in the eta-representation with a flat scalar product to describe the dynamics of Dirac parti…
gr-qc2011
Atoms and Forces of Interaction Between Elementary Particles in the Expanding Universe
M. V. Gorbatenko, V. P. Neznamov
The earlier developed algorithm for constructing a self-conjugate Hamiltonian in the η-representation for Dirac particles interacting with a general gravitational field is extended…
gr-qc2011★ 46 cited
Uniqueness and Self-Conjugacy of Dirac Hamiltonians in arbitrary Gravitational Fields
M. V. Gorbatenko, V. P. Neznamov
Proofs of two statements are provided in this paper. First, the authors prove that the formalism of the pseudo-Hermitian quantum mechanics allows describing the Dirac particles mot…