English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Tools annual

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

The Light Front Holographic (LFH) wave equation, which is the conformalscalar equation on the plane, is revisited from the perspective of thesupersymmetric quantum mechanics, and attention is drawn to the fact that itnaturally emerges in the small hyperbolic angle approximation to the "curved"Higgs oscillator on the hyperbolic plane, i.e. on the upper part of thetwo-dimensional hyperboloid of two sheets, a space of constant negativecurvature. Such occurs because the particle dynamics under considerationreduces to the one dimensional Schr\"odinger equation with the secondhyperbolic P\"oschl-Teller potential, whose flat-space (small-angle) limitreduces to the conformally invariant inverse square distance plus harmonicoscillator interaction, on which LFH is based. In consequence, energies andwave functions of the LFH spectrum can be approached by the solutions of theHiggs oscillator on the hyperbolic plane in employing its curvature and thepotential strength as fitting parameters. Also the proton electric charge formfactor is well reproduced within this scheme by means of a Fourier-Helgasonhyperbolic wave transform of the charge density. In conclusion, in the smallangle approximation, the Higgs oscillator on the hyperbolic plane isdemonstrated to satisfactory parallel essential outcomes of the Light FrontHolographic QCD. The findings are suggestive of associating the hyperboloidcurvature of the with a second scale in LFH, which then could be employed inthe definition of a chemical potential.

The Higgs oscillator on the hyperbolic plane and Light-Front Holography