Phase Operator Problem and Macroscopic Extension of Quantum Mechanics [PDF]
To find the Hermitian phase operatorof a single-mode electromagnetic field in quantum mechanics, the Schroedinger representation is extended to a larger Hilbert space augmented by states with infinite excitation by nonstandard analysis.
Abe +38 more
core +1 more source
A theorem on the absence of phase transitions in one-dimensional growth models with onsite periodic potentials [PDF]
We rigorously prove that a wide class of one-dimensional growth models with onsite periodic potential, such as the discrete sine-Gordon model, have no phase transition at any temperature $T>0$.
Angel Sánchez +17 more
core +3 more sources
Toward Holo-Hilbert Spectral Analysis for Coronary Stenosis Assessment
Chun-Hsiang Huang +3 more
openalex +2 more sources
MODELING OF RESONANCE EFFECTS IN ONE-DIMENSIONAL PERIODIC DIFFRACTION GRATINGS CONTAINING GRAPHENE STRIPS Part 1. MATHEMATICAL JUSTIFICATION OF THE SPECTRAL METHOD [PDF]
Subject and Purpose. This paper presents a theoretical study of the interaction between monochromatic electromagnetic radiation and a one-dimensional periodic strip grating.
A. Ye. Poyedinchuk +5 more
doaj +1 more source
2-D Prony-Huang Transform: A New Tool for 2-D Spectral Analysis [PDF]
This work proposes an extension of the 1-D Hilbert Huang transform for the analysis of images. The proposed method consists in (i) adaptively decomposing an image into oscillating parts called intrinsic mode functions (IMFs) using a mode decomposition ...
Borgnat, Pierre +4 more
core +2 more sources
Why is Landau-Ginzburg link cohomology equivalent to Khovanov homology?
In this note we make an attempt to compare a cohomological theory of Hilbert spaces of ground states in the N = 2 2 $$ \mathcal{N}=\left(2,2\right) $$ 2d Landau-Ginzburg theory in models describing link embeddings in ℝ3 to Khovanov and Khovanov-Rozansky ...
Dmitry Galakhov
doaj +1 more source
To investigate the seismic response of layered rock sites, a multidomain analysis method was proposed. Three finite element models with infinite element boundaries for layered sites were analysed.
Lihu Dong, Danqing Song, Guangwei Liu
doaj +1 more source
Simple planar Bragg grating devices for photonic Hilbert transform
Hilbert transformers are important devices widely used in information processing and signal analysis in the electronic domain. For example, for spectral efficiency improvement, it is used to construct the analytic signal for single sideband (SSB ...
Gates, J.C. +6 more
core +1 more source
Quantum walks with an anisotropic coin I: spectral theory [PDF]
We perform the spectral analysis of the evolution operator U of quantum walks with an anisotropic coin, which include one-defect models, two-phase quantum walks, and topological phase quantum walks as special cases.
76324 +5 more
core +3 more sources
The elliptic sinh-Gordon equation in a semi-strip
We study the elliptic sinh-Gordon equation posed in a semi-strip by applying the so-called Fokas method, a generalization of the inverse scattering transform for boundary value problems.
Hwang Guenbo
doaj +1 more source

