The quantum Arnold transformation

Details The quantum Arnold transformation The quantum Arnold transformation

2010-10-26

arxiv.org/abs/1010.5521v2

J. Phys. A: Math. Theor. 44, 065302 (2011)

Physics

Quantum Physics

19 pages, minor changes, references updated

Scientific paper

10.1088/1751-8113/44/6/065302

By a quantum version of the Arnold transformation of classical mechanics, all quantum dynamical systems whose classical equations of motion are non-homogeneous linear second-order ordinary differential equations, including systems with friction linear in velocity, can be related to the quantum free-particle dynamical system. This transformation provides a basic (Heisenberg-Weyl) algebra of quantum operators, along with well-defined Hermitian operators which can be chosen as evolution-like observables and complete the entire Schr\"odinger algebra. It also proves to be very helpful in performing certain computations quickly, to obtain, for example, wave functions and closed analytic expressions for time-evolution operators.

Affiliated with

Also associated with

No associations

Rating

The quantum Arnold transformation 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 The quantum Arnold transformation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The quantum Arnold transformation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-484160