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Journal of Physics A Mathematical and Theoretical 43 (2010) 265302
Eigenstates with the auxiliary field method
C. Semay, B. Silvestre-Brac1

The auxiliary field method is a powerful technique to obtain approximate closed-form energy formulas for eigenequations in quantum mechanics. Very good results can be obtained for Schrödinger and relativistic Hamiltonians with various potentials, even in the case of many-body problems. This method can also provide approximate eigenstates in terms of well known wavefunctions, for instance harmonic oscillator or hydrogen-like states, but with a characteristic size which depends on quantum numbers. In this paper, we consider a two-body Schrödinger equation with a linear potential and show that very good approximations of the corresponding eigenstates can be obtained with the auxiliary field method.
1 :  LPSC - Laboratoire de Physique Subatomique et de Cosmologie
Physique/Physique mathématique

Mathématiques/Physique mathématique

Physique/Physique Quantique
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