Titlebook: General Principles of Quantum Field Theory; N. N. Bogolubov,A. A. Logunov,I. T. Todorov Book 1990 Kluwer Academic Publishers 1990 Cross se

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Analytic Functions of Several Complex VariablesIn the previous chapters we have repeatedly made use of holomorphic functions of a complex vector. Now we discuss their properties in more detail.

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Algebra of Observables and State SpaceHistorically, operators first made their appearance in the construction of quantum mechanics (in Heisenberg’s matrix formulation) as operators (or matrices) corresponding to physical observables; it was only later (in the work of Schr?dinger and subsequently Born and von Neumann) that the modern notion of a physical state took shape.

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Development: a Comparative Study,sion theory. According to §7.3.E, this requires the Fock space H of (asymptotically) free particles and two Poincaré-invariant isometric operators Ω. and Ω. from H to the physical Hilbert space .. (We shall use the common notation Ω., where the symbol ex takes the two values: in and out).*

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