Quantum dynamics
In physics, quantum dynamics is the quantum version of classical dynamics. Quantum dynamics deals with the motions, and energy and momentum exchanges of systems whose behavior is governed by the laws of quantum mechanics.[1][2] Quantum dynamics is relevant for burgeoning fields, such as quantum computing and atomic optics.
In mathematics, quantum dynamics is the study of the mathematics behind quantum mechanics.[3] Specifically, as a study of dynamics, this field investigates how quantum mechanical observables change over time. Most fundamentally, this involves the study of one-parameter automorphisms of the algebra of all bounded operators on the Hilbert space of observables (which are self-adjoint operators). These dynamics were understood as early as the 1930s, after Wigner, Stone, Hahn and Hellinger worked in the field. Recently, mathematicians in the field have studied irreversible quantum mechanical systems on von Neumann algebras.[4]
See also
- Quantum Field Theory
- Perturbation theory
- Semigroups
- Pseudodifferential operators
- Brownian motion
- Dilation theory
- Quantum probability
- Free probability
References
- ^ Joan Vaccaro (2008-06-26). "Centre for Quantum Dynamics, Griffith University". Quantiki. Archived from the original on 2009-10-25. Retrieved 2010-01-25.
- ^ Wyatt, Robert Eugene; Corey J. Trahan (2005). Quantum dynamics with trajectories. Springer. ISBN 9780387229645.
- ^ Teufel, Stefan (1821-01-01). Adiabatic perturbation theory in quantum dynamics. Springer. ISBN 9783540407232.
- ^ Price, Geoffrey (2003). Advances in quantum dynamics : proceedings of the AMS-IMS-SIAM Joint Summer Research Conference on Advances in Quantum Dynamics, June 16-20, 2002, Mount Holyoke College, South Hadley, Massachusetts. Providence, R.I: American Mathematical Society. ISBN 0-8218-3215-8. OCLC 52901091.
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