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Stationary states for nonlinear Dirac equations with superlinear nonlinearities

open access: yes, 2012
In this paper we consider the nonlinear Dirac equation $$ -i\partial_t\psi=ic\hbar\sum^3_{k=1}\alpha_k\partial_k\psi-mc^2\beta\psi+ G_\psi(x,\psi). $$ Under suitable superlinear assumptions on the nonlinearities we can obtain the existence of at least one stationary state for the equation by applying a generalized linking theorem.
Yang, Minbo, Ding, Yanheng
openaire   +1 more source

Environmental Effects via Frozen Density Embedding in Real-Time Time-Dependent Dirac-Kohn-Sham Theory: Solvation of Lead Halides. [PDF]

open access: yesJ Chem Theory Comput
De Santis M   +6 more
europepmc   +1 more source

Transport evidence of current-induced nematic Dirac valleys in a parity-time-symmetric antiferromagnet. [PDF]

open access: yesNat Commun
Sakai H   +8 more
europepmc   +1 more source

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