Email this article Hamiltonian Approach to Secondary Quantization
- Authors: Kozlov V.V.1, Smolyanov O.G.2,3
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Affiliations:
- Steklov Mathematical Institute
- Faculty of Mechanics and Mathematics
- Moscow Institute of Physics and Technology (State University)
- Issue: Vol 98, No 3 (2018)
- Pages: 571-574
- Section: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225584
- DOI: https://doi.org/10.1134/S1064562418070098
- ID: 225584
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Abstract
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.
About the authors
V. V. Kozlov
Steklov Mathematical Institute
Email: smolyanov@yandex.ru
Russian Federation, Moscow, 119991
O. G. Smolyanov
Faculty of Mechanics and Mathematics; Moscow Institute of Physics and Technology (State University)
Author for correspondence.
Email: smolyanov@yandex.ru
Russian Federation, Moscow, 119991; Dolgoprudnyi, Moscow oblast, 141700
