Quantum States and Soltion Solutions on Noncommutative Orbifold R4/G

SHI Guo-Fang; DENG Hui; XIONG Hua-Hui; SHI Kang-Jie

Chinese Physics C> 2004, Vol. 28> Issue(10) : 1033-1039

Quantum States and Soltion Solutions on Noncommutative Orbifold R4/G

Institute of Modern Physics,Northwest University,Xi'an 710069,China

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Abstract：
We obtain the ground state of the Hamiltonian which is constructed by general quadratic form of generalized coordinates and momenta. Consequently we can obtain eigenstates of each order energy. Invariant quadratic form with respect to coordinates under rotation subgroup G of SO(4) can be regularized as this kind of Hamiltonian, so we get the invariant ground state under rotation G. If G is a finite subgroup of SO(4),we will get the eigenvectors on noncommutative Orbifold R4/G.Based on this, we obtain the soliton solution on it.

References

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. Green M B, Schwarz J H, Witten E. Superstring. Cambridge: Cambridge University Press, 19842. Seiberg N,Witten E. JHEP, 1999, 032: 99093. HU J P, ZHANG S C. Cond-mat/01124324. CHEN Y X, HOU B Y, HOU B Y. Nucl. Phys. , 2002, B638: 220-2425. HOU B Y, SHI K J, YANG Z Y. Lett. Math. Phys., 2002, 61(3): 205-2206. DENG H, HOU B Y, SHI K J et al. J. Math. Phys., preprint7. Gopakumar R, Minwalla S, Strominger A. hep-th/00031608. Martinec E J, Moore G. hep-th/01011999. Gopakumar R, Headrick M, Spradin M. hep-th/0103256

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SHI Guo-Fang, DENG Hui, XIONG Hua-Hui and SHI Kang-Jie. Quantum States and Soltion Solutions on Noncommutative Orbifold R4/G[J]. Chinese Physics C, 2004, 28(10): 1033-1039.

SHI Guo-Fang, DENG Hui, XIONG Hua-Hui and SHI Kang-Jie. Quantum States and Soltion Solutions on Noncommutative Orbifold R4/G[J]. Chinese Physics C, 2004, 28(10): 1033-1039. shu

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Received: 2004-02-12
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

Quantum States and Soltion Solutions on Noncommutative Orbifold R4/G

Corresponding author: SHI Guo-Fang,

Institute of Modern Physics,Northwest University,Xi'an 710069,China

Received Date: 2004-02-12
Accepted Date: 1900-01-01
Available Online: 2004-10-05

Abstract: We obtain the ground state of the Hamiltonian which is constructed by general quadratic form of generalized coordinates and momenta. Consequently we can obtain eigenstates of each order energy. Invariant quadratic form with respect to coordinates under rotation subgroup G of SO(4) can be regularized as this kind of Hamiltonian, so we get the invariant ground state under rotation G. If G is a finite subgroup of SO(4),we will get the eigenvectors on noncommutative Orbifold R4/G.Based on this, we obtain the soliton solution on it.