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20042025
most citedFoldy-Wouthyusen wave functions and conditions of transformation between Dirac and Foldy-Wouthuysen representations

49 citations · 210 across the 31 of their papers we have counts for

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Showing 2011Show all

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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…

physics.gen-ph2011★ 3 cited

II. The Standard Model in the Isotopic Foldy-Wouthuysen Representation without Higgs Bosons in the Fermion Sector. Spontaneous Breaking of Parity and "Dark Matter" Problems

V. P. Neznamov

The Standard Model with massive fermions is formulated in the isotopic Foldy-Wouthuysen representation. SU(2)xU(1) - invariance of the theory in this representation is independent…

physics.gen-ph2011★ 7 cited

I. The Isotopic Foldy-Wouthuysen Representation and Chiral Symmetry

V. P. Neznamov

The paper introduces the isotopic Foldy-Wouthuysen representation. This representation was used to derive equations for massive interacting fermion fields. When the interaction Ham…

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…