A quantum particle in a box with moving walls
arXiv:1306.4252 · doi:10.1088/1751-8113/46/36/365301
Abstract
We analyze the non-relativistic problem of a quantum particle that bounces back and forth between two moving walls. We recast this problem into the equivalent one of a quantum particle in a fixed box whose dynamics is governed by an appropriate time-dependent Schroedinger operator.
12 pages, 0 figures
References in corpus (2)
Cited by in corpus (20)
- Classical and quantum shortcuts to adiabaticity for scale-invariant driving
- Generating shortcuts to adiabaticity in quantum and classical dynamics
- Driving rapidly while remaining in control: classical shortcuts from Hamiltonian to stochastic dynamics
- From the moving piston to the dynamical Casimir effect: explorations with shaken condensates
- Quantum systems with time-dependent boundaries
- Boundary Conditions as Dynamical Fields
- Moving Walls and Geometric Phases
- Controlling a Quantum System via its Boundary Conditions
- Nonlocality and local causality in the Schrödinger Equation with time-dependent boundary conditions
- Speeding up antidynamical Casimir effect with nonstationary qutrits
- Fermionic edge states and new physics
- Non-Hermitian Quantum Fermi Accelerator
- Boundary conditions for the quantum Hall effect
- On the Schrödinger Equation for Time-Dependent Hamiltonians with a Constant Form Domain
- Exceptional points and pseudo-Hermiticity in real potential scattering
- Quantum controllability on graph-like manifolds through magnetic potentials and boundary conditions
- On global approximate controllability of a quantum particle in a box by moving walls
- Resonant transitions due to changing boundaries
- Consistent treatment of quantum systems with a time-dependent Hilbert space
- Modelling mechanical equilibration processes of closed quantum systems: a case-study