Hamiltonian Approach to Secondary Quantization
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Structures and objects used in Hamiltonian secondary quantization are discussed. By the secondary quantization of a Hamiltonian system ℋ, we mean the Schrödinger quantization of another Hamiltonian system ℋ1 for which the Hamiltonian equation is the Schrödinger one obtained by the quantization of the original Hamiltonian system ℋ. The phase space of ℋ1 is the realification ℍR of the complex Hilbert space ℍ of the quantum analogue of ℋ equipped with the natural symplectic structure. The role of a configuration space is played by the maximal real subspace of ℍ.
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- 2.O. G. Smolyanov and E. T. Shavgulidze, Feynman Path Integrals (Lenand, Moscow, 2015) [in Russian].Google Scholar
- 3.V. P. Maslov, Complex Markov Chains and Feynman Integral for Nonlinear Systems (Moscow, 1976) [in Russian].Google Scholar
- 9.O. G. Smolyanov, “Nonlinear pseudodifferential operators in superspaces,” Abstracts of Papers of the Conference on Methods of Algebra and Analysis, September 21–23, 1988 (Tartu, 1988), pp. 103–106.Google Scholar