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A quantum model with one fermionic degree of freedom

A quantum model with one fermionic degree of freedom
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摘要 A quantum model with one fermionic degree of freedom is discussed in detail. The operator action of the model has local operator gauge symmetry. A group of constrains on operator gauge potential B 0 and gauge transformation operator U from some physical requirement are obtained. The Euler Lagrange equation of motion of fermionic operator ψ is just the usual equation of motion of fermion type. And the Euler Lagrange equation of motion of operator gauge potential B 0 is just a constraint, which is just the canonical quantization condition of fermion. A quantum model with one fermionic degree of freedom is discussed in detail. The operator action of the model has local operator gauge symmetry. A group of constrains on operator gauge potentialB 0 and gauge transformation operatorU from some physical requirement are obtained. The Euler-Lagrange equation of motion of fermionic operator φ is just the usual equation of motion of fermion type. And the Euler-Lagrange equation of motion of operator gauge potentialB 0 is just a constraint, which is just. the canonical quantization condition of fermion.
作者 吴宁 阮图南
出处 《Science China Mathematics》 SCIE 1998年第5期541-545,共5页 中国科学:数学(英文版)
关键词 operator GAUGE transformation CANONICAL QUANTIZATION condition EULER LAGRANGE equation of motion. operator gauge transformation canonical quantization condition Euler-Lagrange equation of motion
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