QHJ, WKB and exact quantisation
S. Sree Ranjani, A. K. Kapoor, P.K. Panigrahi
TL;DR
This paper introduces a straightforward derivation of the WKB quantisation condition via the quantum Hamilton-Jacobi formalism and proposes an exact quantisation condition for higher-dimensional integrable models.
Contribution
It offers a new, simplified derivation of the WKB condition and extends the formalism to exact quantisation in higher-dimensional integrable systems.
Findings
Derived a simple WKB quantisation condition using quantum Hamilton-Jacobi formalism
Proposed an exact quantisation condition for higher-dimensional integrable models
Enhanced understanding of quantisation in complex quantum systems
Abstract
We present a simple derivation of the WKB quantisation condition using the quantum Hamilton-Jacobi formalism and propose an exact quantisation condition within this formalism for integrable models in higher dimensions.
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Taxonomy
TopicsQuantum and Classical Electrodynamics · Particle Accelerators and Free-Electron Lasers · Particle accelerators and beam dynamics