Work

Eigenfunctions on an infinite Schrödinger network

Year: 2025

Type: article

Abstract: In this article, we show that there is a one-to-one correspondence between the eigenfunctions associated with the perturbed Laplacian operator Δ q {\Delta }_{q} on a Schrödinger infinite network { X , t , q } \{X,t,q\} with weight function q ( a ) q\left(a) and the eigenfunctions associated with classical Laplacian operator Δ \Delta on the infinite network { X , t } . \{X,t\}.

Source: Open Mathematics

DOI: 10.1515/math-2025-0158

Authors: Ibtesam Bajunaid, Madhu Venkataraman, Varadha Raj Manivannan

Institutions: King Saud University, Vellore Institute of Technology University, Sri Chandrasekharendra Saraswathi Viswa Mahavidyalaya

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,187

OpenAlex ID: W4410977147

FWCI:

Cites: 8

Cited by:

Related to: 10