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Title of Journal: Nuov Cim B

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Abbravation: Il Nuovo Cimento B (1971-1996)

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Società Italiana di Fisica

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DOI

10.1007/bf02442271

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1826-9877

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Variational methods for boundstate problems

Authors: S R Singh A D Stauffer
Publish Date: 2007/11/13
Volume: 25, Issue: 2, Pages: 547-556
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Abstract

We have formulated two variational methods for boundstate problems analogous to the Schwinger and the Kohn methods in scattering theory in a unified manner The latter is equivalent to the RayleighRitz method They are shown to yield a convergent process to determine the eigenvalues and eigenvectors for a large class of potentialsМы формулируем единым образом два вариационных метода для проблем связанных состояний Эти методы аналогичны методу Швинтера и Кона в теории рассеяния Последний метод эквивалентен методу РелеяРитца Показывается что эти методы обеспечивают сходяшуюся процедуру для определения собственных значений и собственных векторов для широкого класса потенциаловSi sono formulati in modo unificato due metodi variazionali per i problemi degli stati legati analoghi ai metodi di Schwinger e di Kohn Quest’ultimo è equivalente al metodo di RayleighRitz Si dimostra che essi dànno un procedimento convergente per determinare gli autovalori e gli autovettori di un’ampia classe di potenziali

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Other Papers In This Journal:
  1. The algebra of bounded additive operators on a complex Hilbert space
  2. N = 1,2 supergravities in 2 + 1 dimensions as Chern-Simons theories
  3. Maximal acceleration and the time-energy uncertainty relation
  4. Superselection rules; old and new
  5. On the relation between energy and momentum for electrons of a few MeV
  6. Measurements of low-frequency 1/ f α noise in semiconductor polycrystalline thin films of PbTe
  7. Nonrelativistic limit in the algebraic approach of relativistic quantum mechanics
  8. Machian solution with matter injection in cosmology
  9. A note on a quantum-mechanical harmonic oscillator in a space of constant curvature
  10. The gyrofrequency of a charged particle in a constant electromagnetic field. II.—The general result
  11. Magnetic bloch functions
  12. Electromagnetic potential vectors and spontaneous symmetry breaking
  13. Triplet correlations in model liquids
  14. Gravitational-wave tail in Einstein’s linear theory
  15. On the hypothesis that quantum mechanics has a nonlocal structure
  16. A deterministic representation of plane-wave interference
  17. The reconstruction theorem with external sources
  18. Nonabsorption resonances by nonlinear coherent effects in a three-level system
  19. Solution with third-order accuracy for the electron distribution function in weakly ionized gases and intrinsic semiconductors
  20. Probable observation of «excitonic» superconductivity in formvar-aluminum sandwiches
  21. Existence and stability criteria for circular geodesics in the vicinity of a Reissner-Nordström black hole
  22. High-resolution spectroscopy in the far ultraviolet
  23. A theoretical analysis on vibrational-energy transfers in gases
  24. A new calculation of atmospheric neutrino flux
  25. Four-dimensional symmetry from a broad viewpoint
  26. Four-dimensional symmetry from a broad viewpoint
  27. Inhomogeneous positron trapping in fatigued aluminum single crystals
  28. Rotationally symmetric clusters with zero net angular momentum
  29. On exact canonical momenta of collective motion in a many-boson system
  30. Instanton- and monopole-induced compactification of CP N space and chiral fermions in the Einstein-Yang-Mills theory
  31. Ray propagation in an inviscid fluid
  32. New methods for treatment of spheroidal functions in the solution of scalar wave equation
  33. Dynamics in the Gödel universe
  34. Cauchy initial-value problem and application to Schwarzschild and Friedmann metrics
  35. One-dimensional KDP model with random impurities
  36. Ion-atom cross-sections for sputtering of inert-gas ion incident at low energy on polycrystalline copper target
  37. Conformal conservation laws for second-order scalar fields
  38. Exact solutions of nonlinear differential equations using continued fractions
  39. The classification of spherically symmetric space-times
  40. Radiating collapse of a heat-conducting-fluid sphere with conformally flat interior
  41. Pais-uhlenbeck regularization of free quantum gravity: toward a unitary theory
  42. Local Poincaré generators in the R + T 2 + R 2 theory of Gravity
  43. Beyond the single universe
  44. Transformation de Fourier sur le groupe conforme
  45. Guided optics in rotating dielectric media
  46. Estimation of the contribution of alpha-induced nuclear reactions to the galactic abundances of lithium, beryllium and boron
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  48. Free-electron laser supermodes for bunches with longitudinal energy-position correlation
  49. Classical geometrodynamics revisited
  50. Some cosmological models with constant deceleration parameter
  51. Quantum of London and spin-(l/2)
  52. On the theory of identical particles
  53. The Spin-1÷2 Heisenberg ferromagnet via anticommutator Green’s functions utilizing Tyablikov decoupling
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  55. Polarization effects in cosmological models with anisotropic curvature
  56. Thermal-ghost fields and unstable systems
  57. Comments on the string theory
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