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arxiv: hep-th/0402006 · v1 · submitted 2004-02-01 · ✦ hep-th · math-ph· math.MP· quant-ph

Lagrangian quantum field theory in momentum picture. I. Free scalar fields

classification ✦ hep-th math-phmath.MPquant-ph
keywords equationfieldfieldsfreemomentumpicturescalaranalysis
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The work contains a detailed investigation of free neutral (Hermitian) or charged (non-Hermitian) scalar fields and the describing them (system of) Klein-Gordon equation(s) in momentum picture of motion. A form of the field equation(s) in terms of creation and annihilation operators is derived. An analysis of the (anti-)commutation relations on its base is presented. The concept of the vacuum and the evolution of state vectors are discussed.

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