
doi: 10.1063/1.524176
Dirac equations with fourth order self-couplings are investigated in one time and three space dimensions. Both stringlike and ball-like soliton solutions carrying nontopological quantum numbers are shown to exist, depending on the symmetries taken into account. The energies (per unit length) of stringlike solutions turn out to be always smaller than those of plane wave solutions. For ball-like solutions, it is shown that the region of values of the nontopological quantum numbers exists in which the total energies of solitons are smaller than those of plane waves.
Software, source code, etc. for problems pertaining to partial differential equations, Partial differential equations of mathematical physics and other areas of application, Software, source code, etc. for problems pertaining to quantum theory, existence of cylindrically symmetric solutions, selfinteracting Dirac spinors, Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics, soliton, Langrangian
Software, source code, etc. for problems pertaining to partial differential equations, Partial differential equations of mathematical physics and other areas of application, Software, source code, etc. for problems pertaining to quantum theory, existence of cylindrically symmetric solutions, selfinteracting Dirac spinors, Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics, soliton, Langrangian
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