An Approach to non-S States by Applying Effective Monte Carlo Hamiltonian

HUANG Chun-Qing; LI Yong-Yao; LUO Xiang-Qian

Chinese Physics C> 2005, Vol. 29> Issue(7) : 717-720

An Approach to non-S States by Applying Effective Monte Carlo Hamiltonian

Department of Physics,Zhongshan University,Guangzhou 510275,Chima2 Department of Physics,Zhongshan University,Foshan 528000,Chima3 Department of Applied Physics,South China Agricultural University,Guangzhou 510642,Chima4 Département de Physique,Université Laval,Québec,PQ G1K 7P4,Canada

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Abstract：
Monte Carlo Hamiltonian (MCH) method is applied to the study of the non S states in the quantum mechanical system with inverse potential, and the hydrogen system is taken as an example. The validity and efficiency of MCH is verified. New suggestion for computing the statistical errors is provided. The spectrum and reduced wave functions are consistent with the analytic results.

References

[1]

. Jirari H, Kroger H, LUO X Q et al. Phys. Lett. , 1999, A258: 6 - 142. HUANG C Q, JIANG J Q, LUO X Q et al. High Energy Phys. Nucl.Phys. , 2000, 24: 478 - 483 3. LUO X Q, LIU J J, HUANG C Q et al. Commun. Theor. Phys. ,2002, 38: 561 - 565(in Chinese)(黄纯青，江俊勤，罗向前等.高能物理与核物理，2000,24:478-483)4. JIANG J Q, HUANG C Q, LUO X Q et al. Commun. Theor. Phys. ,2000. 34: 723 - 7285. HUANG C Q, Kroger H, LUO X Q et al. Phys. Lett. , 2002, A299:483 - 4936. LUO X Q, CHENG X N, Kroger H. Commun. Theor. Phys. , 2004,41: 509 - 5127. CHEN C Y, LU H L, SUN D S et al . ACTA PHYSICA SINICA,2004, 53: 973- 977(in Chinese)(陈昌远，陆华林，孙东升等.物理学报.2004. 53:973-977)8. MEI H, CHEN H. High Energy Phys. Nucl . Phys. , 2004, 28:838- 841(in Chinese)(梅花，陈洪高能物理与核物理，2004,28:838-841)9. Feynman R P, Hibbs A R. QUANTUM MECHANICS AND PATH IN-TEGRALS, McGraw-Hill Press, 196510. Wilson K G. Phys. Rev. , 1974, D10: 244511. Gregory E, GUO S, Kroger H et al . Phys. Rev. , 2000, D62: 05450812. LUO X Q. Phys. Rev. , 2004, D70: 091504

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HUANG Chun-Qing, LI Yong-Yao and LUO Xiang-Qian. An Approach to non-S States by Applying Effective Monte Carlo Hamiltonian[J]. Chinese Physics C, 2005, 29(7): 717-720.

HUANG Chun-Qing, LI Yong-Yao and LUO Xiang-Qian. An Approach to non-S States by Applying Effective Monte Carlo Hamiltonian[J]. Chinese Physics C, 2005, 29(7): 717-720. shu

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Received: 2004-10-26
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

An Approach to non-S States by Applying Effective Monte Carlo Hamiltonian

Corresponding author: LUO Xiang-Qian,

Department of Physics,Zhongshan University,Guangzhou 510275,Chima2 Department of Physics,Zhongshan University,Foshan 528000,Chima3 Department of Applied Physics,South China Agricultural University,Guangzhou 510642,Chima4 Département de Physique,Université Laval,Québec,PQ G1K 7P4,Canada

Received Date: 2004-10-26
Accepted Date: 1900-01-01
Available Online: 2005-07-05

Abstract: Monte Carlo Hamiltonian (MCH) method is applied to the study of the non S states in the quantum mechanical system with inverse potential, and the hydrogen system is taken as an example. The validity and efficiency of MCH is verified. New suggestion for computing the statistical errors is provided. The spectrum and reduced wave functions are consistent with the analytic results.