New orthonormal and complete representation for complex scalar fields  

New orthonormal and complete representation for complex scalar fields

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作  者:Hongyi Fan Yue Fan 

机构地区:[1]Univ Sci & Technol China, Dept Mech Sci & Engn, Hefei 230026, Peoples R China

出  处:《Chinese Science Bulletin》1999年第8期763-766,共4页

摘  要:The explicit common eigenvectors for complex scalar fields φ (x) and φ+ (x) are derived . They span an orthonormal and complete space. Based on this, the charge conjugate unitary operator and the operator which generates Bogolyubov pseudo-particles transformation can be neatly derived. It is emphasized that | ξ】 is different from the direct product of two independent eigenvectors respectively belonging to two real scalar fields, and | ξ 】 is named the correlated eigenstates of φ( x) and φ^+ (x).The explicit common eigenvectors for complex scalar fields ?(x) and ?+ (x) are derived. They span an orthonormal and complete space. Based on this, the charge conjugate unitary operator and the operator which generates Bogolyubov pseudo-particles transformation can be neatly derived. It is emphasized that |ξ? is different from the direct product of two independent eigenvectors respectively belonging to two real scalar fields, and |ξ? is named the correlated eigenstates of ?(x) and ?+ (x).

关 键 词:COMPLEX SCALAR FIELDS CORRELATED EIGENSTATES IWOP technique. 

分 类 号:O177[理学—数学]

 

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