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Open Quantum Systems Decoherence Quantum Simulation Entanglement Theory Quantum Correlations Quantum State Preparation Representation

Arbitrary trajectory quantization method.

PubMed
Authors: Biswas D

Year

2001

Paper ID

13235

Status

Peer-reviewed

Abstract Read

~2 min

Abstract Words

106

Citations

4

Abstract

The arbitrary trajectory quantization method (ATQM) is a time dependent approach to quasiclassical quantization based on the approximate dual relationship that exists between the quantum energy spectra and classical periodic orbits. It has recently been shown however, that, for polygonal billiards, the periodicity criterion must be relaxed to include closed almost-periodic (CAP) orbit families in this relationship. In light of this result, we reinvestigate the ATQM and show that at finite energies, a smoothened quasiclassical kernel corresponds to the modified formula that includes CAP families while the delta function kernel corresponding to the periodic orbit formula is recovered as E-->infinity. Several clarifications are also provided.

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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • The arbitrary trajectory quantization method (ATQM) is a time dependent approach to quasiclassical quantization based on the approximate dual relationship that exists between...

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References & Citation Signals

[1] DOI https://doi.org/10.1103/PhysRevE.63.016213 [2] Publisher https://pubmed.ncbi.nlm.nih.gov/11304341/

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External citation index: OpenAlex citation signal • updated 2026-06-13 04:49:50

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