Physics – Quantum Physics
Scientific paper
2005-11-23
Physics
Quantum Physics
Latex2e file. 27 pages, 7 figures. To appear in Phys. Rev. A
Scientific paper
10.1103/PhysRevA.73.012104
Quantum mechanics has been formulated in phase space, with the Wigner function as the representative of the quantum density operator, and classical mechanics has been formulated in Hilbert space, with the Groenewold operator as the representative of the classical Liouville density function. Semiclassical approximations to the quantum evolution of the Wigner function have been defined, enabling the quantum evolution to be approached from a classical starting point. Now analogous semiquantum approximations to the classical evolution of the Groenewold operator are defined, enabling the classical evolution to be approached from a quantum starting point. Simple nonlinear systems with one degree of freedom are considered, whose Hamiltonians are polynomials in the Hamiltonian of the simple harmonic oscillator. The behaviour of expectation values of simple observables and of eigenvalues of the Groenewold operator, are calculated numerically and compared for the various semiclassical and semiquantum approximations.
Bracken Anthony J.
Wood Gary J.
No associations
LandOfFree
Semiquantum versus semiclassical mechanics for simple nonlinear systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Semiquantum versus semiclassical mechanics for simple nonlinear systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Semiquantum versus semiclassical mechanics for simple nonlinear systems will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-543526