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math-ph2010★ 1 cited
Symmetry preserving self-adjoint extensions of Schrödinger operators with singular potentials
D. M. Gitman, A. G. Smirnov, I. V. Tyutin +1
We develop a general technique for finding self-adjoint extensions of a symmetric operator that respect a given set of its symmetries. Problems of this type naturally arise when co…
math-ph2010★ 11 cited
Self-adjoint extensions and spectral analysis in the generalized Kratzer problem
M. C. Baldiotti, D. M. Gitman, I. V. Tyutin +1
We present a mathematically rigorous quantum-mechanical treatment of a one-dimensional nonrelativistic motion of a particle in the potential field . F…