Poisson Bracket
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High Quality Content by WIKIPEDIA articles! In mathematics and classical mechanics, the Poisson bracket is an important operator in Hamiltonian mechanics, playing a central role in the definition of the time-evolution of a dynamical system in the Hamiltonian formulation. It places mechanics and dynamics in the context of coordinate-transformations: specifically in coordinate planes such as canonical position/momentum, or canonical-position/canonical transformation. (A so-called "canonical transformation" is a function of the canonical position and momentum satisfying certain Poisson-bracket relations). Note that one example of a canonical transformation is the Hamiltonian itself: H = H(q,p;t). Namely: the Hamiltonian-canonical-transformation transforms canonical position/momenta into the conserved (constant-of-time-integration) quantity known as "energy".
Weitere Informationen
- Allgemeine Informationen
- GTIN 09786130336646
- Editor Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
- Sprache Englisch
- Genre Physik & Astronomie
- Größe H220mm x B150mm x T6mm
- Jahr 2010
- EAN 9786130336646
- Format Kartonierter Einband
- ISBN 978-613-0-33664-6
- Titel Poisson Bracket
- Untertitel Mathematics, Classical Mechanics, Hamiltonian Mechanics, Poisson Algebra, Poisson Manifold, Canonical Coordinates, Hamilton-Jacobi Equation, Symplectic Manifold, Symplectomorphism
- Gewicht 159g
- Herausgeber Betascript Publishers
- Anzahl Seiten 96
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