Quick Navigation

Overview Topics Abstract Importance Paper Tools References Reactions Discussion Publication Related

Topics

Open Quantum Systems Decoherence Quantum Simulation

Quasi-harmonic spectra from branched Hamiltonians

arXiv
Authors: Aritra Ghosh, Bijan Bagchi, A. Ghose-Choudhury, Partha Guha, Miloslav Znojil

Year

2025

Paper ID

36185

Status

Preprint

Abstract Read

~2 min

Abstract Words

114

Citations

N/A

Abstract

We revisit the canonical quantization to assess the spectrum of the modified Emden equation ddot{x} + kxdot{x} + ω2 x + frac{k2}{9}x3 = 0, which is an isochronous case of the Liénard-Kukles equation. While its classical isochronicity and canonical quantization, leading to polynomial solutions with an exactly-equispaced spectrum have been discussed earlier, including in the recent paper [Int. J. Theor. Phys. 64, 212 (2025)], the present study focuses on the quantization of its branched Hamiltonians. For small k, we show numerically that the resulting energy spectrum is no longer perfectly harmonic but only approximately equispaced, exhibiting quasi-harmonic behavior characterized by deviations from uniform spacing. Our numerical results are precisely validated by analytical calculations based on perturbation theory.

Why This Paper Matters

  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
  • It adds a 2025 reference point for readers tracking recent quantum research.
  • We revisit the canonical quantization to assess the spectrum of the modified Emden equation ddotx + kxdotx + ω^2 x + frack^29x^3 = 0, which is an isochronous case of the...

Paper Tools

Become a member to use research tools

Sign in to open papers, visit source links, share, cite, compare, copy DOI links, request category corrections, and build your reading list.

Become a member Sign in
Show Paper arXiv Publisher Share Cite This Paper Copy URL Compare Copy DOI Add to Reading List Category Correction Request

References & Citation Signals

[1] DOI https://doi.org/arXiv:2512.22510 [2] arXiv https://arxiv.org/abs/2512.22510 [3] Publisher https://arxiv.org/abs/2512.22510

Local Citation Graph (Related-Paper Links)

Current Paper #36185 #78846 Analog quantum simulation of Sh... #78810 Secure Quantum Handshakes: Quan... #78802 Quantum Co-Design of Inhomogene... #78801 Constructing Large and Structur...

External citation index: OpenAlex citation signal

Community Reactions

Quick sentiment from readers on this paper.

Score: 0
Likes: 0 Dislikes: 0

Sign in to react to this paper.

Discussion & Reviews (Moderated)

Average Rating: 0.0 / 5 (0 ratings)

No written reviews yet.