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The bound states of weakly coupled long-range one-dimensional quantum hamiltonians: R. Blankenbecler, M. L. Goldberger, and B. Simon. Department of Physics, Princeton University, Princeton, New Jersey 08540


Publisher
Elsevier Science
Year
1977
Tongue
English
Weight
81 KB
Volume
107
Category
Article
ISSN
0003-4916

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โœฆ Synopsis


We study the small X behavior of the ground state energy, E(h), of the Hamiltonian -(d2/dsy


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The bound states of weakly coupled long-
โœ R Blankenbecler; M.L Goldberger; B Simon ๐Ÿ“‚ Article ๐Ÿ“… 1977 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 455 KB

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).