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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