Quantum dynamics
In physics, quantum dynamics is the study of the dynamics of mesoscopic objects, objects that are neither macroscopic, nor microscopic, and so cannot be accurately described by either classical dynamics or quantum mechanics. Quantum dynamics also lies at the interface between theoretical and experimental physics; it is relevant for burgeoning fields, such as quantum computing and atomic optics.[1][2] The term "quantum dynamics" may also refer generally to the dynamics of "purely" quantum mechanical particles.[3]
In mathematics, quantum dynamics is the study of the mathematics behind quantum mechanics.[4] 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[clarification needed], Hahn and Hellinger worked in the field. Recently, mathematicians in the field have studied irreversible quantum mechanical systems on von Neumann algebras.[5]
See also
- Perturbation theory
- Semigroups
- Pseudodifferential operators
- Brownian motion
- Dilation theory
- Quantum probability
- Free probability
References
- ^ "Complex Quantum Dynamics and Mesoscopic Phenomena Group". Department of Physics, Wesleyan University. Retrieved 2010-01-25.
- ^ Joan Vaccaro (2008-06-26). "Centre for Quantum Dynamics, Griffith University". Quantiki. Retrieved 2010-01-25.
- ^
Wyatt, Robert Eugene (2005). Quantum dynamics with trajectories. Springer. ISBN 0387229647, 9780387229645.
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Teufel, Stefan (1821-01-01). Adiabatic perturbation theory in quantum dynamics. Springer. ISBN 3540407235, 9783540407232.
{{cite book}}: ISBN / Date incompatibility (help) - ^ Price, Geoffrey L. (2003). Advances in quantum dynamics. AMS Bookstore. ISBN 0821832158, 9780821832158.
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