Deformation quantization of the Pais-Uhlenbeck fourth order oscillator
arXiv:1505.02866 · doi:10.1016/j.aop.2015.07.030
Abstract
We analyze the quantization of the Pais-Uhlenbeck fourth order oscillator within the framework of deformation quantization. Our approach exploit the Noether symmetries of the system by proposing integrals of motion as the variables to obtain a solution to the -genvalue equation, namely the Wigner function. We also obtain, by means of a quantum canonical transformation the wave function associated to the Schrödinger equation of the system. We show that unitary evolution of the system is guaranteed by means of the quantum canonical transformation and via the properties of the constructed Wigner function, even in the so called equal frequency limit of the model, in agreement with recent results.
References in corpus (6)
- Algebras of distributions suitable for phase-space quantum mechanics. I
- Exactly solvable PT-symmetric Hamiltonian having no Hermitian counterpart
- Comments on the Dynamics of the Pais-Uhlenbeck Oscillator
- Supersymmetry vs ghosts
- Comment on "Dirac Quantization of Pais-Uhlenbeck Fourth Order Oscillator"
- Lectures on Deformation quantization of Poisson manifolds
Cited by in corpus (5)
- Generalized Niederer's transformation for quantum Pais-Uhlenbeck oscillator
- Nonlocal dynamics and infinite non-relativistic conformal symmetries
- Quantisations of exactly solvable ghostly models
- The Unruh effect for higher derivative field theory
- Unruh effect detection through chirality in curved graphene