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Pointwise Reconstruction of Wave Functions from Their Moments through Weighted Polynomial Expansions: An Alternative Global-Local Quantization Procedure. MATHEMATICS 2015. [DOI: 10.3390/math3041045] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
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Yan Z, Handy CR. Extension of a spectral bounding method to the PT-invariant states of the −(iX)Nnon-Hermitian potential. ACTA ACUST UNITED AC 2001. [DOI: 10.1088/0305-4470/34/46/313] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
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Handy CR. Generating converging bounds to the (complex) discrete states of theP2+ iX3+ iαXHamiltonian. ACTA ACUST UNITED AC 2001. [DOI: 10.1088/0305-4470/34/24/305] [Citation(s) in RCA: 31] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
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Bessis D, Vrscay ER, Handy CR. Hydrogenic atoms in the external potential V(r)=gr+λr2: exact solutions and ground-state eigenvalue bounds using moment methods. ACTA ACUST UNITED AC 1999. [DOI: 10.1088/0305-4470/20/2/027] [Citation(s) in RCA: 58] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
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Handy CR, Lee P. Positivity and the energy quantization of physical systems: the C-shift moment method. ACTA ACUST UNITED AC 1999. [DOI: 10.1088/0305-4470/24/7/027] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
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Handy CR, Hayes H, Stephens DV, Joshua J, Summerour S. Application of the eigenvalue moment method to important one-dimensional quantum systems. ACTA ACUST UNITED AC 1999. [DOI: 10.1088/0305-4470/26/11/013] [Citation(s) in RCA: 17] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
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Handy CR, Murenzi R. Continuous wavelet transform analysis of one-dimensional quantum bound states from first principles. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1996; 54:3754-3763. [PMID: 9913919 DOI: 10.1103/physreva.54.3754] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Handy CR. Extension of a moment-problem minimax quantization procedure to anharmonic potentials. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1995; 52:3468-3473. [PMID: 9912646 DOI: 10.1103/physreva.52.3468] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Handy CR, Appiah K, Bessis D. Moment-problem formulation of a minimax quantization procedure. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1994; 50:988-996. [PMID: 9910985 DOI: 10.1103/physreva.50.988] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Handy CR. An eigenvalue moment method analysis of the V( x) = [ω 2/2] x2+ α x3+ β x4anharmonic oscillator. Mol Phys 1992. [DOI: 10.1080/00268979200102011] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
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Handy CR. Application of the eigenvalue moment method to the quartic anharmonic double-well oscillator. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1992; 46:1663-1666. [PMID: 9908289 DOI: 10.1103/physreva.46.1663] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Handy CR, Giraud BG, Bessis D. Dynamical-system formulation of the eigenvalue moment method. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1991; 44:1505-1515. [PMID: 9906112 DOI: 10.1103/physreva.44.1505] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Fernández FM, Ma Q, Tipping RH. Tight upper and lower bounds for energy eigenvalues of the Schrödinger equation. PHYSICAL REVIEW. A, GENERAL PHYSICS 1989; 39:1605-1609. [PMID: 9901413 DOI: 10.1103/physreva.39.1605] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Handy CR, Pei JQ. Moment-method analysis of the ground state of discretized bosonic systems. PHYSICAL REVIEW. A, GENERAL PHYSICS 1988; 38:3175-3181. [PMID: 9900746 DOI: 10.1103/physreva.38.3175] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Handy CR, Luo L, Mantica G, Msezane AZ. Exact bounds to one-dimensional potential scattering amplitudes through the classical theory of moments. PHYSICAL REVIEW. A, GENERAL PHYSICS 1988; 38:490-493. [PMID: 9900189 DOI: 10.1103/physreva.38.490] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Handy CR, Bessis D, Morley TD. Generating quantum energy bounds by the moment method: A linear-programming approach. PHYSICAL REVIEW. A, GENERAL PHYSICS 1988; 37:4557-4569. [PMID: 9899601 DOI: 10.1103/physreva.37.4557] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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18
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Handy CR, Bessis D, Sigismondi G, Morley TD. Rapidly converging bounds for the ground-state energy of hydrogenic atoms in superstrong magnetic fields. PHYSICAL REVIEW LETTERS 1988; 60:253-256. [PMID: 10038494 DOI: 10.1103/physrevlett.60.253] [Citation(s) in RCA: 31] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Čížek J, Vinette F. N-dimensional hydrogen atom in an external spherically symmetric field. Theor Chem Acc 1987. [DOI: 10.1007/bf01192238] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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Handy CR. Moment-method quantization of a linear differential eigenvalue equation for || Psi ||2. PHYSICAL REVIEW. A, GENERAL PHYSICS 1987; 36:4411-4416. [PMID: 9899397 DOI: 10.1103/physreva.36.4411] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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