中国物理B ›› 1999, Vol. 8 ›› Issue (3): 161-166.doi: 10.1088/1004-423X/8/3/001

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PATH INTEGRAL IN CORRELATED EIGENSTATE BASIS OF COMPLEX SCALAR FIELDS φ(x) AND φ?(x)

范洪义, 范悦   

  1. Department of Materials Science, University of Science and Technology of China, Hefei 230026, China
  • 收稿日期:1998-04-23 出版日期:1999-03-15 发布日期:1999-03-20

PATH INTEGRAL IN CORRELATED EIGENSTATE BASIS OF COMPLEX SCALAR FIELDS $\phi$(x) AND $\phi^{\dagger}$(x)

Fan Hong-yi (范洪义), Fan Yue (范悦)   

  1. Department of Materials Science, University of Science and Technology of China, Hefei 230026, China
  • Received:1998-04-23 Online:1999-03-15 Published:1999-03-20

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摘要： Using the technique of integration within an ordered product of operators, we construct a new common eigenvector set of the complex scalar fields φ(x) and φ?(x), which is a set of particle-antiparticle correlated states. On the basis of the new eigenstates we develop the path integral formuation. The new eigenvectors' properties are investigated, they are qualified to be a new representation.

Abstract: Using the technique of integration within an ordered product of operators, we construct a new common eigenvector set of the complex scalar fields $\varphi$(x) and $\phi^{\dagger}$(x), which is a set of particle-antiparticle correlated states. On the basis of the new eigenstates we develop the path integral formuation. The new eigenvectors' properties are investigated, they are qualified to be a new representation.

中图分类号:  (Quantum mechanics)

  • 03.65.-w
02.30.Rz (Integral equations)