skip to main content
Idioma:
Primo Search
Clear Search Box
Search in: Busca Geral
Busca Avançada
Busca por Índices

Theory of J -matrix Green's functions with applications to atomic polarizability and phase-shift error bounds

Heller, Eric J.

Physical review. A, General physics, 1975-10, Vol.12 (4), p.1222-1231 [Periódico revisado por pares]

United States: American Physical Society (APS)

Sem texto completo

Citações Citado por
  • Título:
    Theory of J -matrix Green's functions with applications to atomic polarizability and phase-shift error bounds
  • Autor: Heller, Eric J.
  • Assuntos: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS ; HAMILTONIAN FUNCTION ; MATRICES ; PHASE SHIFT ; QUANTUM MECHANICS ; SCATTERING- GREEN FUNCTION
  • É parte de: Physical review. A, General physics, 1975-10, Vol.12 (4), p.1222-1231
  • Notas: USDOE
  • Descrição: The recently introduced Jacobi or J-matrix techniques for quantum scattering are developed to include the construction of exact analytic matrix elements of regular and Coulomb partial-wave zeroth-order and full Green's functions. Very simple results obtain for the unperturbed Green's functions, while full Green's functions require a single diagonalization of an N times N Hamiltonian matrix, where N is the number of basis functions coupled by the matrix truncated potential. In an application of the J-matrix Green's functions to the theory of atomic dynamic polarizabilities, the analytic result for hydrogen is derived, and it is shown how more general systems may be treated in a way which is superior to the usual N-term variational approach. In an application to error bounds for phase shifts, it is shown how the full Green's functions can be used to demonstrate the absence of false pseudoresonances in J- matrix scattering calculations, and bound the possible errors in computed phase shifts.
  • Editor: United States: American Physical Society (APS)
  • Idioma: Inglês
Links
Voltar para lista de resultados

  • Realização: ABCD-USP USP   Logos de Redes Sociais: Freepik

Buscando em bases de dados remotas. Favor aguardar.