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EnglishHamiltonian 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.
| Titolo: | Computing with Hamiltonian operators |
| Autori: | |
| Data di pubblicazione: | 2019 |
| Rivista: | |
| 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. |
| Handle: | http://hdl.handle.net/11587/434716 |
| Appare nelle tipologie: | Articolo pubblicato su Rivista |
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