Eigenvalues and eigenvectors of the Laplace operator in d-dimensional cut Fock basis

TL;DR

This paper derives exact formulas for the eigenvalues and eigenvectors of the Laplace operator in d-dimensional space using a cut Fock basis, facilitating precise spectral analysis.

Contribution

It provides the first explicit expressions for eigenvalues and eigenvectors of the Laplace operator in this basis, advancing spectral methods in quantum and mathematical physics.

Findings

Exact eigenvalues and eigenvectors derived

Facilitates spectral analysis in quantum systems

Enables precise computational methods

Abstract

We present exact expressions for the eigenvalues and eigenvectors of the d-dimensional Laplace operator in a cut Fock basis.