XXIX Max Born Symposium: Super, Quantum & Twistors II

XXIX Max Born Symposium: Super, Quantum & Twistors II

Wroclaw 28-30 June 2011


Krzysztof Andrzejewski

Uniwersytet Łódzki, Wydzial Fizyki i Informatyki Stosowanej (Lodz, Poland)

Modified Hamiltonian formalism for higher-derivative theories


Abstract:
The alternative version of Hamiltonian formalism for higher-derivative theories is proposed. As compared with the standard Ostrogradski approach it has the following advantageous:
(i) the Lagrangian, when expressed in terms of new variables yields proper equations of motion; no additional Lagrange multipliers are necessary
(ii) the Legendre transformation can be performed in a straightforward way provided the Lagrangian is nonsingular in Ostrogradski sense.