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The bound states of weakly coupled long-range one-dimensional quantum hamiltonians

✍ Scribed by R Blankenbecler; M.L Goldberger; B Simon

Publisher: Elsevier Science
Year: 1977
Tongue: English
Weight: 455 KB
Volume: 108
Category: Article
ISSN: 0003-4916
DOI: 10.1016/0003-4916(77)90351-7

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✦ Synopsis

We study the small X behavior of the ground state energy, E(h), of the Hamiltonian -(@/dx") + hV(x). In particular, if V(x) N -ax? at infinity and if s V(x)dx -r 0, we prove that (-E(h))1/2 = -[ah + aXgIn A] S&V(x) + 0(X2).

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