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- W247130244 abstract "This chapter focuses on physical properties invariant for phase equivalent potentials. It presents an assumption that there are two potentials V and V ′, which are phase shift equivalent, such that the corresponding Hamiltonians have the same bound state energies. These two restrictions require that the corresponding wave functions Ψ i and Ψ i ′ be asymptotically equal for all the eigenvalues of H and H ′. As the spectrum of H and H ′ is the same, the complete set of wave functions Ψ i ′ are related to Ψ i by an unitary transformation U , Ψ i ′ = UΨ i . The phase equivalent potentials V and V ′ have equal Fredholm determinants D + (k) of the outgoing solutions Ψ k + and Ψ k ′ + . The low energy three-body scattering amplitude for three free particles is the same for phase equivalent potentials." @default.
- W247130244 created "2016-06-24" @default.
- W247130244 creator A5064725317 @default.
- W247130244 date "1976-01-01" @default.
- W247130244 modified "2023-10-16" @default.
- W247130244 title "PHYSICAL PROPERTIES INVARIANT FOR PHASE EQUIVALENT POTENTIALS" @default.
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- W247130244 doi "https://doi.org/10.1016/b978-0-7204-0481-4.50012-5" @default.
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