Path integral in correlated eigenstate basis of complex scalar fields ϕ(x) and ϕ † (x)

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, , Citation Fan Hong-yi and Fan Yue 1999 Acta Phys. Sin. (Overseas Edn) 8 161 DOI 10.1088/1004-423X/8/3/001

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1 Department of Materials Science, University of Science and Technology of China, Hefei 230026, China

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  1. Received 23 April 1998
1004-423X/8/3/161

Abstract

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 formulation. The new eigenvectors' properties are investigated, they are qualified to be a new representation.

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