# 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[edit]

- Quantum Field Theory
- Perturbation theory
- Semigroups
- Pseudodifferential operators
- Brownian motion
- Dilation theory
- Quantum probability
- Free probability

## References[edit]

**^**Joan Vaccaro (2008-06-26). "Centre for Quantum Dynamics, Griffith University".*Quantiki*. 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 L. (2003).*Advances in quantum dynamics*. AMS Bookstore. ISBN 9780821832158.

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