Dynamical analysis of mass-spring models using Lie algebraic methods
arXiv:1904.02542 · doi:10.1016/j.physa.2019.123193
Abstract
The dynamical analysis of vibrational systems of masses interconnected by restitution elements each with a single degree of freedom, and different configurations between masses and spring constants, is presented. Finite circular and linear arrays are studied using classical arguments, and their proper solution is given using methods often found in quantum optical systems. We further study some more complicated arrays where the solutions are given by using Lie algebras.
arXiv comment7 pages, 6 figures
References in corpus (6)
- Implementation of Quantum and Classical Discrete Fractional Fourier Transforms
- Classical analogue of displaced Fock states and quantum correlations in Glauber-Fock photonic lattices
- Tailoring the correlation and anti-correlation behavior of path-entangled photons in Glauber-Fock oscillator lattices
- Discrete quantum model of the harmonic oscillator
- The Pegg-Barnett phase operator and the discrete Fourier transform
- Analytically solvable Hamiltonians for quantum systems with a nearest neighbour interaction