Quantum versus Classical Mechanics and Integrability Problems by Maciej Błaszak

Quantum versus Classical Mechanics and Integrability Problems by Maciej Błaszak

Author:Maciej Błaszak
Language: eng
Format: epub
ISBN: 9783030183790
Publisher: Springer International Publishing


and

for λ = λ 1, λ 2, λ 3, i.e. from (5.1.20 ) we get

On the extended phase space of dimension eight, with additional coordinates c 1 and c 2, the differentials form a bi-inverse-Hamiltonian chains

with the presymplectic forms

d-compatible with respect to Π0 and vector fields

where again .

Example 5.16

Consider Hamiltonians with elliptic potentials, described in Sect. 5.2.1

where r = 1, …, n. They form the bi-inverse-Hamiltonian chain

where

and



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