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On the validity of Levison’s theorem for non-local interactions
/ Martin, A (CERN)
By introduction of an artificial boundary condition on the one dimensionalS wave function it is possible to compare the number of eigenstates of a non-local hamiltonian to the number of free eigenstates, provided the free and interacting eigenstates tend to coincide at high energies. Orthogonality of the wave functions, plus certain auxiliary hypotheses, enable one to prove the inequality δ(0) - δ(∞) ≥νπ, where ν is the number of bound states. [...]
1958
- Published in : Nuovo Cimento 7 (1958) 607–627
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