Hamiltonian operators for partial differential equations are ubiquitous in mathematical models of theoretical and applied physics. In this paper the new Reduce package cde for computations hl{with} Hamiltonian operators is presented. cde can verify the Hamiltonian properties of skew-adjointness and vanishing Schouten bracket for a differential operator, as well as the compatibility property of two Hamiltonian operators, and hl{it can compute} the Lie derivative of a Hamiltonian operator with respect to a vector field. hl{More generally, it can compute with} (variational) multivectors, or functions on supermanifolds. This can open the way to applications in other fields of mathematical or theoretical physics.
Computing with Hamiltonian operators
Vitolo R.
Membro del Collaboration Group
2019-01-01
Abstract
Hamiltonian operators for partial differential equations are ubiquitous in mathematical models of theoretical and applied physics. In this paper the new Reduce package cde for computations hl{with} Hamiltonian operators is presented. cde can verify the Hamiltonian properties of skew-adjointness and vanishing Schouten bracket for a differential operator, as well as the compatibility property of two Hamiltonian operators, and hl{it can compute} the Lie derivative of a Hamiltonian operator with respect to a vector field. hl{More generally, it can compute with} (variational) multivectors, or functions on supermanifolds. This can open the way to applications in other fields of mathematical or theoretical physics.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
