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Acta Physica Sinica (Overseas Edition), 1999, Vol. 8(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 $\phi$(x) AND $\phi^{\dagger}$(x)

Fan Hong-yi (范洪义), Fan Yue (范悦)
Department of Materials Science, University of Science and Technology of China, Hefei 230026, China
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.
Received:  23 April 1998      Accepted manuscript online: 
PACS:  03.65.-w (Quantum mechanics)  
  02.30.Rz (Integral equations)  

Cite this article: 

Fan Hong-yi (范洪义), Fan Yue (范悦) PATH INTEGRAL IN CORRELATED EIGENSTATE BASIS OF COMPLEX SCALAR FIELDS $\phi$(x) AND $\phi^{\dagger}$(x) 1999 Acta Physica Sinica (Overseas Edition) 8 161

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