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Variational principles for bound states of Schrödinger and Dirac equations allowing the use of discontinuous trial functions
Author(s) -
Szmytkowski Radosław,
Bielski Sebastian
Publication year - 2004
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.20006
Subject(s) - dirac (video compression format) , bound state , schrödinger equation , wave function , schrödinger's cat , mathematical physics , quantum , variational method , upper and lower bounds , physics , mathematics , quantum mechanics , mathematical analysis , neutrino
We present systematic constructions of variational principles for energies of bound states of the Schrödinger and Dirac equations. The principles allow the use of discontinuous trial functions. The method employed is based on a generalized Lagrange procedure. Relationships between our variational principles and those available in the literature are established. © 2004 Wiley Periodicals, Inc. Int J Quantum Chem, 2004