On the Number of Bound States of Semirelativistic Hamiltonian With Dirac Delta Potentials in One Dimension

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Erman, Fatih

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Abstract

We study the bound state problem for semirelativistic N attractive Dirac delta-potentials in one dimension. We give a sufficient condition for the Hamiltonian to have N bound states and give an explicit criterion for it.

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Number of bound states, Dirac delta potentials, Resolvent, Salpeter Hamiltonians

Fields of Science

0103 physical sciences, 01 natural sciences

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Volume

96

Issue

11

Start Page

1235

End Page

1241
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