Spin Operator for the Relativistic Particle

ZHANG PengFei; RUAN TuNan

Chinese Physics C> 2000, Vol. 24> Issue(6) : 585-588

Spin Operator for the Relativistic Particle

ZHANG PengFei ^, ,
RUAN TuNan

CCAST World Lab., Beijing 100080, ChinaNational Synchrotron Radiation Laboratory and Department of Modern Physics, University of Science and Technology of China, Hefei 230029, China

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Abstract：
A systematic theory of the appropriate spin operators for the relativistic states is developed. This paper discusses it in particle case, i.e., the quantum mechanics problem. For a massive relativistic particle with arbitrary nonzero spin, the spin operator should be replaced with the relativistic one. In the frame of irreducible representation of Poincaré group, this spin operator, which is named as moving spin and applied to all the canonical states of the particle, is constructed. Further discussion on the concept of moving spin in the quantum field theory will be followed.

References

[1]

Chung S U.CERN Report,CERN71–8.1971;Phys.Rev.,1993,D48:1225;BNL PREPRINT,BNL QGS94–21,1995;BNL PREPRINT,BNL QGS94—22;Ann.of Phys.(Germany),1995,4:404[2] Pryce MHL.Proc.Roy.Soc.(London),1935,A150:166;ibid.,1948,A195:62[3] Macfarlane A J.J.of Math.Phys.,1963,4:490[4] McKerrel A.Nuovo Cimento,1964,34:1289[5] ZHANG PengFei,RUAN TuNan.High Energy Phys.and Nucl.Phys.(inChinese),2000,24:(8). (张鹏飞,阮图南.高能物理与核物理,2000,24:(8))[6] Elliot J P,Dawber P G.Symmetry in physics.The Macmillan Press LTD.1979.Sec.15.4.2

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ZHANG PengFei and RUAN TuNan. Spin Operator for the Relativistic Particle[J]. Chinese Physics C, 2000, 24(6): 585-588.

ZHANG PengFei and RUAN TuNan. Spin Operator for the Relativistic Particle[J]. Chinese Physics C, 2000, 24(6): 585-588. shu

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Received: 1999-09-10
Revised: 1900-01-01

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Spin Operator for the Relativistic Particle

ZHANG PengFei ^,
RUAN TuNan

Corresponding author: ZHANG PengFei,

CCAST World Lab., Beijing 100080, ChinaNational Synchrotron Radiation Laboratory and Department of Modern Physics, University of Science and Technology of China, Hefei 230029, China

Received Date: 1999-09-10
Accepted Date: 1900-01-01
Available Online: 2000-06-05

Abstract: A systematic theory of the appropriate spin operators for the relativistic states is developed. This paper discusses it in particle case, i.e., the quantum mechanics problem. For a massive relativistic particle with arbitrary nonzero spin, the spin operator should be replaced with the relativistic one. In the frame of irreducible representation of Poincaré group, this spin operator, which is named as moving spin and applied to all the canonical states of the particle, is constructed. Further discussion on the concept of moving spin in the quantum field theory will be followed.