Hamiltonian and Feynman aspects of secondary quantization

В. А. Плетюхов, В. И. Стражев

Felix Alexandrovich Berezin

Felix Alexandrovich Berezin

Valeriy V. Kozlov, Oleg Georgievich Smolyanov

Valery Vasil'evich Kozlov, Oleg Georgievich Smolyanov

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 ℋ 1 for which the Hamiltonian equation is the Schrödinger one obtained by the quantization of the original Hamiltonian system ℋ. The phase space of ℋ 1 is the realification ℍ R 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.

J. M. Cook