Irreducible bases in icosahedral group space

Shi Hai Dong; Xi Wen Hou; Mi Xie; Zhong Qi Ma

doi:10.1023/A:1026646120520

Irreducible bases in icosahedral group space

Shi Hai Dong, Xi Wen Hou, Mi Xie, Zhong Qi Ma

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8 Scopus citations

Abstract

The irreducible bases in the icosahedral group space are calculated explicitly by reducing the regular representation. The symmetry-adapted bases of the system with I or I_h symmetry can be calculated easily and generally by applying those irreducible bases to wavefunctions of the system, if they are not vanishing. As examples, the submatrices of the Hückel Hamiltonians for carbon-60 and carbon-240 are recalculated by the irreducible bases.

Original language	English
Pages (from-to)	2135-2152
Number of pages	18
Journal	International Journal of Theoretical Physics
Volume	37
Issue number	8
DOIs	https://doi.org/10.1023/A:1026646120520
State	Published - Aug 1998
Externally published	Yes

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title = "Irreducible bases in icosahedral group space",

abstract = "The irreducible bases in the icosahedral group space are calculated explicitly by reducing the regular representation. The symmetry-adapted bases of the system with I or Ih symmetry can be calculated easily and generally by applying those irreducible bases to wavefunctions of the system, if they are not vanishing. As examples, the submatrices of the H{\"u}ckel Hamiltonians for carbon-60 and carbon-240 are recalculated by the irreducible bases.",

author = "Dong, {Shi Hai} and Hou, {Xi Wen} and Mi Xie and Ma, {Zhong Qi}",

note = "Funding Information: The authors would like to thank Prof. Jin-Quan Chen for useful discussion. This work was supported by the National Natural Science Foundation of China and Grant No. LWTZ-1298 of the Chinese Academy of Sciences.",

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AU - Dong, Shi Hai

AU - Hou, Xi Wen

AU - Xie, Mi

AU - Ma, Zhong Qi

N1 - Funding Information: The authors would like to thank Prof. Jin-Quan Chen for useful discussion. This work was supported by the National Natural Science Foundation of China and Grant No. LWTZ-1298 of the Chinese Academy of Sciences.

PY - 1998/8

Y1 - 1998/8

N2 - The irreducible bases in the icosahedral group space are calculated explicitly by reducing the regular representation. The symmetry-adapted bases of the system with I or Ih symmetry can be calculated easily and generally by applying those irreducible bases to wavefunctions of the system, if they are not vanishing. As examples, the submatrices of the Hückel Hamiltonians for carbon-60 and carbon-240 are recalculated by the irreducible bases.

AB - The irreducible bases in the icosahedral group space are calculated explicitly by reducing the regular representation. The symmetry-adapted bases of the system with I or Ih symmetry can be calculated easily and generally by applying those irreducible bases to wavefunctions of the system, if they are not vanishing. As examples, the submatrices of the Hückel Hamiltonians for carbon-60 and carbon-240 are recalculated by the irreducible bases.

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U2 - 10.1023/A:1026646120520

DO - 10.1023/A:1026646120520

M3 - Artículo

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SP - 2135

EP - 2152

JO - International Journal of Theoretical Physics

JF - International Journal of Theoretical Physics

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ER -

Irreducible bases in icosahedral group space

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