2N-Dimensional Canonical Systems and Applications

Abstract

We study the 2N-dimensional canonical systems and discuss some properties of its fundamental solution. We then discuss the Floquet theory of periodic canonical systems and observe the asymptotic behavior of its solution. Some important physical applications of the systems are also discussed: linear stability of periodic Hamiltonian systems, position-dependent effective mass, pseudo-periodic nonlinear water waves, and Dirac systems.

References in corpus (11)

• Spin-valley lifetimes in a silicon quantum dot with tunable valley splitting
• Floquet-Engineered Valleytronics in Dirac Systems
• Shape-invariant quantum Hamiltonian with position-dependent effective mass through second order supersymmetry
• Floquet band structure of a semi-Dirac system
• Construction of zero energy states in graphene through the supersymmetry formalism
• Exact Analytical Solution of the N-dimensional Radial Schrodinger Equation with Pseudoharmonic Potential via Laplace Transform Approach
• Quasi-periodic standing wave solutions of gravity-capillary water waves
• Periodic solutions of symmetric Hamiltonian systems
• NLS breathers, rogue waves, and solutions of the Lyapunov equation for Jordan blocks
• Periodic orbits in nonlinear wave equations on networks
• Two-dimensional Dirac fermion in presence of an asymmetric vector potential