Time-independent Hamiltonian for any linear constant-coefficient evolution equation
Carl M. Bender, Mariagiovanna Gianfreda, Nima Hassanpour, and Hugh F., Jones
TL;DR
This paper presents a method to construct a single-degree-of-freedom, time-independent Hamiltonian that can generate solutions to any linear constant-coefficient evolution equation of arbitrary order.
Contribution
It introduces a novel approach to derive a universal Hamiltonian framework for linear evolution equations of any order.
Findings
Unified Hamiltonian formulation for linear evolution equations
Applicable to equations of any order
Simplifies analysis of linear dynamical systems
Abstract
It is shown how to construct a time-independent Hamiltonian having only one degree of freedom from which an arbitrary linear constant-coefficient evolution equation of any order can be derived.
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Taxonomy
TopicsNumerical methods for differential equations · Quantum chaos and dynamical systems · Spectral Theory in Mathematical Physics