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

Abstract
HTML
Reference
Related

PDF

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

[1]	LI Jing-Wu , YOU Fu-Yi . Perturbative QCD Study of B_(s)→φρ Decays. Chinese Physics C, 2007, 31(6): 523-531.
[2]	XU Ming-Mei , LIU Lian-Shou . A Monte Carlo Study on the Reconstruction Method for Instanton in Deep-Inelastic e⁺p Scattering. Chinese Physics C, 2007, 31(2): 119-124.
[3]	ZHOU Yuan , HE Hui-Hai , MU Jun . Monte Carlo Study of Methods for Off-Line Calibration of ARGO-YBJ Experiment. Chinese Physics C, 2005, 29(8): 787-792.
[4]	HUANG Chun-Qing , LUO Xiang-Qian . New Approach to Monte Carlo Hamiltonian and Tes. Chinese Physics C, 2005, 29(9): 928-932.
[5]	QIU You-Heng , DENG Li , YING Yang-Jun , XIAO Gang . Monte Carlo Simulation of Boron Neutron Capture Therapy. Chinese Physics C, 2003, 27(10): 936-942.
[6]	LIU Jin-Ming , LI Jie-Ming , GUO Shuo-Hong . Glueball Mass in Improved SU(3) Lattice Hamiltonian in 2+1 Dimensional. Chinese Physics C, 2001, 25(5): 383-387.
[7]	JIANG Jun-Qin , LI Jie-Ming . Calculation of the 0⁺⁺ Glueball Mass for 2+1 Dimensional QCD by Using the Improved Lattice Hamiltonian. Chinese Physics C, 2001, 25(10): 941-944.
[8]	LI JieMing , JIANG JunQin . Calculation of the Glueball Mass for 2+1 Dimensional SU(2) Lattice Gauge Field Theory by Using the Improved Hamiltonian. Chinese Physics C, 2000, 24(12): 1094-1097.
[9]	JIANG JunQin , LI JieMing . Improved Scheme of the Lattice Hamiltonian in 1+1 Dimensional QCD. Chinese Physics C, 2000, 24(3): 208-212.
[10]	HUANG ChunQing , JIANG JunQin , LUO XiangQian . Monte Carlo Effective Hamiltonian in 1+1 Dimensional Case'. Chinese Physics C, 2000, 24(6): 478-483.
[11]	Jiang Junqin , Luo Xiangqian , Guo Shuohong , Liu Jinming . Calculation of the Vacuum Wave Function in 2+1 Dimensional U(1) Gauge Theory by Using the Improved Lattice Hamiltonian. Chinese Physics C, 1999, 23(12): 1152-1157.
[12]	Jiang Junqin , Luo Xiangqian . Calculation of the Vector Meson Mass in 1+1 Dimensional Lattice QCD by Using the Improved Hamiltonian. Chinese Physics C, 1999, 23(7): 644-649.
[13]	Jiang Junqin . The Calculation of the Fermion Condensates by Using the Improved Hamiltonian. Chinese Physics C, 1998, 22(10): 891-895.
[14]	Hu Jimin , Xu Furong , Zheng Chunkai . Vibrational and Rotational Motions Model of Nucleus(Ⅰ) Cranking Bohr-Mottelson Hamiltonian and Analyses of the Rotational Bands of Even-Even Nuclei. Chinese Physics C, 1996, 20(1): 76-84.
[15]	Ji Daren , Ying Heping , Chen Feng , Zhang Jianbo . Cluster Monte-Carlo Algorithm for the Study of Quantum X-Y Model. Chinese Physics C, 1995, 19(1): 42-48.
[16]	Wang Qun , Xie Qubing . Effective Hamiltonian for Process e⁺e^－→m(qq)+ng. Chinese Physics C, 1995, 19(9): 791-795.
[17]	DI Yao-Min , HA Yi-Ming , FU De-Ji . The Effective Hamiltonian With Continuous Variables Representation in IBM-Ⅱ. Chinese Physics C, 1992, 16(9): 849-856.
[18]	CHENG Tan-Sheng , WU Chong-Shi , ZENG Jin-Yan . PARTICLE-NUMBER-CONSERVING APPROACH FOR TREATING CRANKING HAMILTONIAN. Chinese Physics C, 1988, 12(4): 534-540.
[19]	MA Zhong-Qi , DAI An-Ying . ON THE HERMITIAN OF THE HAMILTONIAN OF RADIAL EQUATION. Chinese Physics C, 1988, 12(1): 42-49.
[20]	ZHANG Yue-Zhong . ON THE BOUNDARY CONDITION AND CANONICAL S-WAVE HAMILTIONIAN FOR THE DYON-FERMION SYSTEM——THE SURFACE LAGRANGIAN AND GAUGE INVARIANT CHARGE CURRENT. Chinese Physics C, 1986, 10(1): 15-23.

Access

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2004-10-26
Revised: 1900-01-01

Article Metric

Article Views(1222)
PDF Downloads(551)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
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.