Quantization of the Damped Harmonic Oscillator Revisited
arXiv:1005.4096 · doi:10.1016/j.physleta.2011.03.009
Abstract
We return to the description of the damped harmonic oscillator by means of a closed quantum theory with a general assessment of previous works, in particular the Bateman-Caldirola-Kanai model and a new model recently proposed by one of the authors. We show the local equivalence between the two models and argue that latter has better high energy behavior and is naturally connected to existing open-quantum-systems approaches.
16 pages
References in corpus (12)
- Wave Function Evolution of a Dissipative System
- Dissipation and Topologically Massive Gauge Theories in Pseudoeuclidean Plane
- A Canonical Approach to the Quantization of the Damped Harmonic Oscillator
- Bateman's dual system revisited: I. Quantization, geometric phase and relation with the ground-state energy of the linear harmonic oscillator
- Uncertainty, entropy and decoherence of the damped harmonic oscillator in the Lindblad theory of open quantum systems
- Canonical quantization of so-called non-Lagrangian systems
- Quantum damped oscillator II: Bateman's Hamiltonian vs. 2D Parabolic Potential Barrier
- A quantum mechanical model of the Riemann zeros
- On the action principle for a system of differential equations
- Quantum Dissipation in Open Harmonic Systems: Operator Solution
- Functional integral for non-Lagrangian systems
- Quantizing the damped harmonic oscillator
Cited by in corpus (19)
- Quantum dynamics of the damped harmonic oscillator
- A no-go result for the quantum damped harmonic oscillator
- On Derrick's theorem in curved spacetime
- Quantization of the damped harmonic oscillator based on a modified Bateman Lagrangian
- Symmetries of the quantum damped harmonic oscillator
- Classical Noether's theory with application to the linearly damped particle
- Faddeev-Jackiw Quantization of Non-Autonomous Singular Systems
- Quantization of the Bateman damping system with conformable derivative
- Dynamical invariants and quantization of the one-dimensional time-dependent, damped, and driven harmonic oscillator
- Quantum theory of a strongly-dissipative scalar field
- Dirac's Method for the Two-Dimensional Damped Harmonic Oscillator in the Extended Phase Space
- Emergent Spacetime and Cosmic Inflation
- Quantization of nonlinear non-Hamiltonian systems
- Multiplication of distributions in a linear gain and loss system
- Cosmological and astrophysical applications of modified theories of gravity
- An approach to the quantization of black-hole quasi-normal modes
- Regularization of central forces with damping in two and three-dimensions
- Canonical quantization for Equilibrium Thermodynamics
- Thermodynamic Properties of deformed massless Dirac fermions in graphene with Rashba coupling