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most citedUniqueness and Self-Conjugacy of Dirac Hamiltonians in arbitrary Gravitational Fields

46 citations · 124 across the 25 of their papers we have counts for

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Showing 2013Show all

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gr-qc2013

Quantum-mechanical nonequivalence of metrics of centrally symmetric uncharged gravitational field

M. V. Gorbatenko, V. P. Neznamov

Quantum-mechanical analysis shows that the metrics of a centrally symmetric uncharged gravitational field, which are exact solutions of the general relativity equations, are physic…

gr-qc2013

Stationary bound states of spin-half particles in the Kerr and Kerr-Newman gravitational fields

M. V. Gorbatenko, V. P. Neznamov

We prove the possibility of existence of stationary bound states of stationary bound states of spin-half probe particles for the Kerr and Kerr-Newman gravitational fields using Cha…

gr-qc2013

Stationary bound states of spin-half particles in the Reissner-Nordstroem gravitational field

M. V. Gorbatenko, V. P. Neznamov

We prove the possibility of existence of stationary bound states of spin-half particles in the Reissner-Nordstroem gravitational field using a self-conjugate Hamiltonian with a fla…

gr-qc2013★ 3 cited

Absence of the non-uniqueness problem of the Dirac theory in a curved spacetime. Spin-rotation coupling is not physically relevant

M. V. Gorbatenko, V. P. Neznamov

As opposed to Arminjon statements, in this work we again assert the absence of the non-uniqueness problem of the Dirac theory in a curved and flat spacetime and illustrate this wit…

gr-qc2013★ 3 cited

Stationary Bound States of Dirac Particles in the Schwarzschild Gravitational Field

M. A. Vronsky, M. V. Gorbatenko, N. S. Kolesnikov +3

Nondecaying bound states of elementary spin-half particles are validated and calculated numerically for the Schwarzschild gravitational field using a self-conjugate Hamiltonian wit…