Recursive analytical formula for the Green{close_quote}s function of a Hamiltonian having a sum of one-dimensional arbitrary delta-function potentials
Journal Article
·
· Physical Review B
The Green{close_quote}s functions of one-dimensional Hamiltonians containing, respectively, one and two delta-function potentials are derived by analytically summing over the corresponding Lippmann-Schwinger series. A generalization of this procedure leads to an explicit recursive formula for the Green{close_quote}s function G{sup (n+1)} corresponding to a Hamiltonian containing a sum of n+1 delta-function potentials of arbitrary positions and strengths in terms of G{sup (n)} and the additional n+1 delta-function potential parameters.
- Sponsoring Organization:
- (US)
- OSTI ID:
- 40203614
- Journal Information:
- Physical Review B, Journal Name: Physical Review B Journal Issue: 23 Vol. 63; ISSN 0163-1829
- Publisher:
- The American Physical Society
- Country of Publication:
- United States
- Language:
- English
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