Algebraic evaluation of matrix elements in the Laguerre function basis

McCoy, A. E.; Caprio, M. A.

doi:10.1063/1.4941327

Title: Algebraic evaluation of matrix elements in the Laguerre function basis

Authors:

^[1]; Caprio, M. A. ^[1]

Department of Physics, University of Notre Dame, Notre Dame, Indiana 46556-5670, USA

Publication Date:: Tue Feb 23 00:00:00 EST 2016

Sponsoring Org.:: USDOE

OSTI Identifier:: 1239163

Grant/Contract Number:: FG02-95ER-40934

Resource Type:: Publisher's Accepted Manuscript

Journal Name:: Journal of Mathematical Physics

Additional Journal Information:: Journal Name: Journal of Mathematical Physics Journal Volume: 57 Journal Issue: 2; Journal ID: ISSN 0022-2488

Publisher:: American Institute of Physics

Country of Publication:: United States

Language:: English

Citation Formats


                    McCoy, A. E., and Caprio, M. A. Algebraic evaluation of matrix elements in the Laguerre function basis.  United States: N. p., 2016. 
Web.  doi:10.1063/1.4941327.

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                    McCoy, A. E., & Caprio, M. A. Algebraic evaluation of matrix elements in the Laguerre function basis.  United States.  https://doi.org/10.1063/1.4941327

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                    McCoy, A. E., and Caprio, M. A. Tue .  
"Algebraic evaluation of matrix elements in the Laguerre function basis".  United States.  https://doi.org/10.1063/1.4941327.

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@article{osti_1239163,

  title        = {Algebraic evaluation of matrix elements in the Laguerre function basis},

  author       = {McCoy, A. E. and Caprio, M. A.},

  abstractNote = {},

  doi          = {10.1063/1.4941327},

  journal      = {Journal of Mathematical Physics},

  number       = 2,

  volume       = 57,

  place        = {United States},

  year         = {Tue Feb 23 00:00:00 EST 2016},

  month        = {Tue Feb 23 00:00:00 EST 2016}

}

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Title: Algebraic evaluation of matrix elements in the Laguerre function basis

Citation Formats

Matter and charge radius of 6 He in the hyperspherical-harmonics approach journal, September 2012

Supersymmetry and quantum mechanics journal, January 1995

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Green's operator for Hamiltonians with Coulomb plus polynomial potentials journal, June 2007

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Natural Orbitals in the Quantum Theory of Two-Electron Systems journal, March 1956

The Factorization Method journal, January 1951

Halo nuclei He 6 and He 8 with the Coulomb-Sturmian basis journal, September 2014

Comparing the Schrödinger and spinless Salpeter equations for heavy-quark bound states journal, June 1986

Quantum Theory of Angular Momentum book, October 1988

Unified treatment of the Coulomb and harmonic oscillator potentials in D dimensions journal, November 1998

Quantized relativistic flux tube journal, May 1994

Useful Bases for Problems in Nuclear and Particle Physics journal, July 1997

Role of the Continuum in Superposition of Configurations journal, July 1955

An algebraic approach to bound states of simple one-electron systems journal, November 1977

Potential separable expansion approach to scattering on Coulomb-like potentials journal, November 1988

Coulomb-Sturmian basis for the nuclear many-body problem journal, September 2012

Application of sturmian functions to the Schroedinger three-body problem: Elastic e+-H scattering journal, August 1962

Energies of quark-antiquark systems, the Cornell potential, and the spinless Salpeter equation journal, May 1993

J -matrix method: Application to S -wave electron-hydrogen scattering journal, March 1974

Canonical Transformations and Matrix Elements journal, August 1971

An integrated approach to ladder and shift operators for the Morse oscillator, radial Coulomb and radial oscillator potentials journal, April 1993

Group Properties of Hydrogenic Radial Functions journal, May 1971

Bound and resonant states in Coulomb-like potentials journal, January 1987

Quantum Mechanics book, January 2000

Weakly convergent expansions of a plane wave and their use in Fourier integrals journal, February 1985

An algebraic approach to problems with polynomial Hamiltonians on Euclidean spaces journal, November 2005

d-Dimensional Kepler–Coulomb Sturmians and Hyperspherical Harmonics as Complete Orthonormal Atomic and Molecular Orbitals book, January 2013

Eigenfunctions for Calculating Electronic Vibrational Intensities journal, March 1932

A study of the Hartree-Fock approximation as applied to finite nuclei journal, September 1966

The convergence of the Rayleigh-Ritz Method in quantum chemistry: I. the criteria of convergence journal, March 1977

The convergence of the Rayleigh-Ritz Method in quantum chemistry: II. Investigation of the convergence for special systems of Slater, Gauss and two-electron functions journal, March 1977

Theory and Application of Sturmian Functions book, January 1970

A matrix representation of the translation operator with respect to a basis set of exponentially declining functions journal, December 1980

Natural Spin Orbitals for Helium journal, August 1955

Lie Algebraic Methods and Their Applications to Simple Quantum Systems book, January 1988

An algebraic method for solving central force problems journal, September 2002

Two- and Three-Alpha Systems with Nonlocal Potential journal, September 2008

Matter and charge radius of $^{6}$ He in the hyperspherical-harmonics approach
journal, September 2012

Supersymmetry and quantum mechanics
journal, January 1995

�ber den Grundzustand des Heliumatoms
journal, July 1928

Observations on the potential confinement of a light fermion
journal, May 1995

Ab initio no core shell model
journal, March 2013

Green's operator for Hamiltonians with Coulomb plus polynomial potentials
journal, June 2007

Momentum-space Argonne V18 interaction
journal, September 2011

Light dripline nuclei
journal, January 2004

Natural Orbitals in the Quantum Theory of Two-Electron Systems
journal, March 1956

The Factorization Method
journal, January 1951

Halo nuclei ${}^{6}{He}$ and ${}^{8}{He}$ with the Coulomb-Sturmian basis
journal, September 2014

Comparing the Schrödinger and spinless Salpeter equations for heavy-quark bound states
journal, June 1986

Quantum Theory of Angular Momentum
book, October 1988

Unified treatment of the Coulomb and harmonic oscillator potentials in D dimensions
journal, November 1998

Quantized relativistic flux tube
journal, May 1994

Useful Bases for Problems in Nuclear and Particle Physics
journal, July 1997

Role of the Continuum in Superposition of Configurations
journal, July 1955

An algebraic approach to bound states of simple one-electron systems
journal, November 1977

Potential separable expansion approach to scattering on Coulomb-like potentials
journal, November 1988

Coulomb-Sturmian basis for the nuclear many-body problem
journal, September 2012

Application of sturmian functions to the Schroedinger three-body problem: Elastic e+-H scattering
journal, August 1962

Energies of quark-antiquark systems, the Cornell potential, and the spinless Salpeter equation
journal, May 1993

$J$ -matrix method: Application to S -wave electron-hydrogen scattering
journal, March 1974

Canonical Transformations and Matrix Elements
journal, August 1971

An integrated approach to ladder and shift operators for the Morse oscillator, radial Coulomb and radial oscillator potentials
journal, April 1993

Group Properties of Hydrogenic Radial Functions
journal, May 1971

Bound and resonant states in Coulomb-like potentials
journal, January 1987

Quantum Mechanics
book, January 2000

Weakly convergent expansions of a plane wave and their use in Fourier integrals
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An algebraic approach to problems with polynomial Hamiltonians on Euclidean spaces
journal, November 2005

d-Dimensional Kepler–Coulomb Sturmians and Hyperspherical Harmonics as Complete Orthonormal Atomic and Molecular Orbitals
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Eigenfunctions for Calculating Electronic Vibrational Intensities
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A study of the Hartree-Fock approximation as applied to finite nuclei
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The convergence of the Rayleigh-Ritz Method in quantum chemistry: I. the criteria of convergence
journal, March 1977

The convergence of the Rayleigh-Ritz Method in quantum chemistry: II. Investigation of the convergence for special systems of Slater, Gauss and two-electron functions
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A matrix representation of the translation operator with respect to a basis set of exponentially declining functions
journal, December 1980

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journal, August 1955

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book, January 1988

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Two- and Three-Alpha Systems with Nonlocal Potential
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