Variational orthogonalization
Farrokh Atai, Jens Hoppe, Mariusz Hynek, Edwin Langmann
TL;DR
This paper presents a variational approach to approximate eigenfunctions and eigenvalues of quantum Hamiltonians by constructing orthogonal wave functions that nearly satisfy the eigenvalue equation.
Contribution
It introduces a novel variational method for orthogonalizing wave functions to approximate quantum eigenstates.
Findings
Effective in approximating eigenvalues and eigenfunctions.
Provides a systematic way to construct orthogonal wave functions.
Potentially improves computational efficiency in quantum problems.
Abstract
We introduce variational methods for finding approximate eigenfunctions and eigenvalues of quantum Hamiltonians by constructing a set of orthogonal wave functions which approximately solve the eigenvalue equation.
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Taxonomy
TopicsNumerical methods for differential equations · Nonlinear Waves and Solitons · Black Holes and Theoretical Physics