Solution of the Schrodinger equation for two-dimensional D- centres with correlation functions

W. Y. Ruan; K. S. Chan; E. Y B Pun

doi:10.1088/0953-8984/13/6/313

Solution of the Schrodinger equation for two-dimensional D^- centres with correlation functions

W. Y. Ruan, K. S. Chan, E. Y B Pun

Department of Electrical Engineering

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

1 Citation (Scopus)

Abstract

The Schrodinger equation for two-dimensional D^- centres is directly solved by expanding the wavefunction in terms of hyperspherical harmonics and generalized Laguerre polynomials. An exponential correlation function is introduced to accelerate the speed of convergence. The inclusion of 144 hyperspherical harmonics and 21 generalized Laguerre polynomials yields the ground-state energy -2.2402399 au, which is converged to an error in the sixth significant figure.

Original language	English
Pages (from-to)	1329-1335
Journal	Journal of Physics Condensed Matter
Volume	13
Issue number	6
DOIs	https://doi.org/10.1088/0953-8984/13/6/313
Publication status	Published - 12 Feb 2001

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title = "Solution of the Schrodinger equation for two-dimensional D- centres with correlation functions",

abstract = "The Schrodinger equation for two-dimensional D- centres is directly solved by expanding the wavefunction in terms of hyperspherical harmonics and generalized Laguerre polynomials. An exponential correlation function is introduced to accelerate the speed of convergence. The inclusion of 144 hyperspherical harmonics and 21 generalized Laguerre polynomials yields the ground-state energy -2.2402399 au, which is converged to an error in the sixth significant figure.",

author = "Ruan, {W. Y.} and Chan, {K. S.} and Pun, {E. Y B}",

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AU - Chan, K. S.

AU - Pun, E. Y B

PY - 2001/2/12

Y1 - 2001/2/12

N2 - The Schrodinger equation for two-dimensional D- centres is directly solved by expanding the wavefunction in terms of hyperspherical harmonics and generalized Laguerre polynomials. An exponential correlation function is introduced to accelerate the speed of convergence. The inclusion of 144 hyperspherical harmonics and 21 generalized Laguerre polynomials yields the ground-state energy -2.2402399 au, which is converged to an error in the sixth significant figure.

AB - The Schrodinger equation for two-dimensional D- centres is directly solved by expanding the wavefunction in terms of hyperspherical harmonics and generalized Laguerre polynomials. An exponential correlation function is introduced to accelerate the speed of convergence. The inclusion of 144 hyperspherical harmonics and 21 generalized Laguerre polynomials yields the ground-state energy -2.2402399 au, which is converged to an error in the sixth significant figure.

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U2 - 10.1088/0953-8984/13/6/313

DO - 10.1088/0953-8984/13/6/313

M3 - RGC 21 - Publication in refereed journal

SN - 0953-8984

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SP - 1329

EP - 1335

JO - Journal of Physics Condensed Matter

JF - Journal of Physics Condensed Matter

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