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Klein Gordon Equations on a Time Lattice
Author(s) -
Hamdan N.,
Uhlmann A.
Publication year - 1988
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.19885000810
Subject(s) - creation and annihilation operators , fock space , hamiltonian (control theory) , mathematical physics , physics , quantization (signal processing) , klein–gordon equation , equal time , second quantization , bogoliubov transformation , annihilation , lattice (music) , operator (biology) , time derivative , quantum mechanics , quantum , mathematics , nonlinear system , statistics , mathematical optimization , biochemistry , chemistry , repressor , acoustics , transcription factor , gene
We consider the second quantization procedure for a KLEIN GORDON equation with time dependent Hamiltonian and with replaced second order time derivative by the appropriate difference operator. With each time step there is a Bogoljubov transformation which describes particle creation and annihilation and the accompanied change of the Fock vacuum.