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Relativistic method to get analytic solutions for many‐body problems: Application to the H + 2 molecule
Author(s) -
Nascimento D. L.,
Fonseca A. L. A.
Publication year - 2003
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.10681
Subject(s) - wave function , spinor , simple (philosophy) , angular momentum , dirac (video compression format) , dirac equation , physics , quantum mechanics , spin (aerodynamics) , total angular momentum quantum number , slater determinant , ground state , theoretical physics , classical mechanics , atomic orbital , philosophy , epistemology , neutrino , thermodynamics , electron
We present a method for solving many‐body problems that allows the usage of Klein‐Gordon–like equations and in which it is not necessary to take into account the spin of the particles, whose effect appears through orbital angular momentum. Hence, the method deals only with ordinary wavefunctions instead of the more complicated spinor wavefunctions of Dirac's theory. The general wave solutions are found to possess a very close resemblance to the corresponding classical solutions, which allow the usage of simple mechanic analogies to deal with the many‐body problem. The method is applied to the H + 2molecule, yielding the correct value for the ground‐state energy and also an approximation for the associated vibrational energies. © 2003 Wiley Periodicals, Inc. Int J Quantum Chem 95: 274–280, 2003