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R. G. Newton, Ref. 1, sect. 19.3; M. L. Goldberger and K. M. Watson, Ref. 1, chap. 8; M. L. Goldberger and K. M. Watson, Phys. Rev. B 136, 1472 (1964); A. Bohm, Ref. 4, chapter XVIII.6; A. S. Goldhaber, Meson Spectroscopy, edited by C. Baltay and A. H. Rosenfeld (Benjamin, New York, 1968), p. 297. This polynomial time dependence associated with higher-order S-matrix poles is of the order of l/Γ and is not to be confused with the non-exponential time dependence mentioned in Ref. 2, which was an artifact of the Hilbert space mathematics and could therefore be made arbitrarily small by a suitable choice of the Hilbert space vector.
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Newton, R.G.1
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7
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85033155823
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Ref. 1, chap. 8
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R. G. Newton, Ref. 1, sect. 19.3; M. L. Goldberger and K. M. Watson, Ref. 1, chap. 8; M. L. Goldberger and K. M. Watson, Phys. Rev. B 136, 1472 (1964); A. Bohm, Ref. 4, chapter XVIII.6; A. S. Goldhaber, Meson Spectroscopy, edited by C. Baltay and A. H. Rosenfeld (Benjamin, New York, 1968), p. 297. This polynomial time dependence associated with higher-order S-matrix poles is of the order of l/Γ and is not to be confused with the non-exponential time dependence mentioned in Ref. 2, which was an artifact of the Hilbert space mathematics and could therefore be made arbitrarily small by a suitable choice of the Hilbert space vector.
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Goldberger, M.L.1
Watson, K.M.2
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R. G. Newton, Ref. 1, sect. 19.3; M. L. Goldberger and K. M. Watson, Ref. 1, chap. 8; M. L. Goldberger and K. M. Watson, Phys. Rev. B 136, 1472 (1964); A. Bohm, Ref. 4, chapter XVIII.6; A. S. Goldhaber, Meson Spectroscopy, edited by C. Baltay and A. H. Rosenfeld (Benjamin, New York, 1968), p. 297. This polynomial time dependence associated with higher-order S-matrix poles is of the order of l/Γ and is not to be confused with the non-exponential time dependence mentioned in Ref. 2, which was an artifact of the Hilbert space mathematics and could therefore be made arbitrarily small by a suitable choice of the Hilbert space vector.
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R. G. Newton, Ref. 1, sect. 19.3; M. L. Goldberger and K. M. Watson, Ref. 1, chap. 8; M. L. Goldberger and K. M. Watson, Phys. Rev. B 136, 1472 (1964); A. Bohm, Ref. 4, chapter XVIII.6; A. S. Goldhaber, Meson Spectroscopy, edited by C. Baltay and A. H. Rosenfeld (Benjamin, New York, 1968), p. 297. This polynomial time dependence associated with higher-order S-matrix poles is of the order of l/Γ and is not to be confused with the non-exponential time dependence mentioned in Ref. 2, which was an artifact of the Hilbert space mathematics and could therefore be made arbitrarily small by a suitable choice of the Hilbert space vector.
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Bohm, A.1
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edited by C. Baltay and A. H. Rosenfeld Benjamin, New York
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R. G. Newton, Ref. 1, sect. 19.3; M. L. Goldberger and K. M. Watson, Ref. 1, chap. 8; M. L. Goldberger and K. M. Watson, Phys. Rev. B 136, 1472 (1964); A. Bohm, Ref. 4, chapter XVIII.6; A. S. Goldhaber, Meson Spectroscopy, edited by C. Baltay and A. H. Rosenfeld (Benjamin, New York, 1968), p. 297. This polynomial time dependence associated with higher-order S-matrix poles is of the order of l/Γ and is not to be confused with the non-exponential time dependence mentioned in Ref. 2, which was an artifact of the Hilbert space mathematics and could therefore be made arbitrarily small by a suitable choice of the Hilbert space vector.
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For definitions of Jordan operators and their properties, see H. Baumgärtel, Analytic Perturbation Theory for Matrices and Operators (Akademic Verlag, Berlin, 1984), Chap. 2; T. Kato, Perturbation Theory for Linear Operators (Springer- Verlag, Berlin, 1966); F. R. Gantmacher, Theory of Matrices (Chelsea, New York, 1959), sect. VII.7; P. Lancaster and M. Tismenetsky, Theory of Matrices, 2nd ed. (Academic, New York, 1985).
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For definitions of Jordan operators and their properties, see H. Baumgärtel, Analytic Perturbation Theory for Matrices and Operators (Akademic Verlag, Berlin, 1984), Chap. 2; T. Kato, Perturbation Theory for Linear Operators (Springer- Verlag, Berlin, 1966); F. R. Gantmacher, Theory of Matrices (Chelsea, New York, 1959), sect. VII.7; P. Lancaster and M. Tismenetsky, Theory of Matrices, 2nd ed. (Academic, New York, 1985).
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±〉. This defines the exact energy wave functions in terms of the in- and out-energy wave functions, whose modulus gives the energy resolution of the experimental apparatuses.
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0347672267
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G. Ludwig, Foundations of Quantum Mechanics, Vol. I (Springer-Verlag, Berlin, 1983), Vol. II (1985); An Axiomatic Basis for Quantum Mechanics, Vol. I (Springer-Verlag, Berlin, 1985), Vol. II (1987).
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(1985)
Foundations of Quantum Mechanics
, vol.2
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65
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0004033141
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Springer-Verlag, Berlin
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G. Ludwig, Foundations of Quantum Mechanics, Vol. I (Springer-Verlag, Berlin, 1983), Vol. II (1985); An Axiomatic Basis for Quantum Mechanics, Vol. I (Springer-Verlag, Berlin, 1985), Vol. II (1987).
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(1985)
An Axiomatic Basis for Quantum Mechanics
, vol.1
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66
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0345780136
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G. Ludwig, Foundations of Quantum Mechanics, Vol. I (Springer-Verlag, Berlin, 1983), Vol. II (1985); An Axiomatic Basis for Quantum Mechanics, Vol. I (Springer-Verlag, Berlin, 1985), Vol. II (1987).
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(1987)
An Axiomatic Basis for Quantum Mechanics
, vol.2
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67
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85033157373
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note
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An analogous statement holds for the Gamow states associated with the pole in the upper half-plane.
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69
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85033139183
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note
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-〉 are not.
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