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Solving the Generalized Eigenvalue Problem in C with GSL and LAPACK: An Application in Quantum Mechanics

12 min read

Algorithms
C
Quantum Mechanics

Solving the Generalized Eigenvalue Problem in C with GSL and LAPACK: An Application in Quantum Mechanics

Francisco Yepes Barrera August 14, 2025

Problem Definition The eigenvalue problem is an essential component of many numerical methods, especially in science and...

Eigen Artificial Neural Networks, a Novel Way to Optimize Neural Networks using Quantum Mechanics

18 min read

EANN
Neural Networks
Quantum Mechanics

Eigen Artificial Neural Networks, a Novel Way to Optimize Neural Networks using Quantum Mechanics

Francisco Yepes Barrera August 8, 2025

Introduction An Eigen Artificial Neural Network (EANN) is an optimization method for neural networks based on the...

Conservation of Angular Momentum in a System of Central Forces

3 min read

Physics
Quantum Mechanics

Conservation of Angular Momentum in a System of Central Forces

Francisco Yepes Barrera February 22, 2024

In physics, both classical mechanics and quantum mechanics, we define angular momentum as the cross product of...

Time Independent Schrödinger Equation

2 min read

Quantum Mechanics

Time Independent Schrödinger Equation

Francisco Yepes Barrera August 26, 2020

The Schrödinger equation involves a state function wave function) which depends on spatial coordinates and time. For...

Degeneration in Quantum Mechanics

1 min read

Quantum Mechanics

Degeneration in Quantum Mechanics

Francisco Yepes Barrera August 26, 2020

Degeneration occurs when two or more independent wave functions have the same eigenvalue. It is said that...

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Solving the Generalized Eigenvalue Problem in C with GSL and LAPACK: An Application in Quantum Mechanics
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Eigen Artificial Neural Networks, a Novel Way to Optimize Neural Networks using Quantum Mechanics

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Solving the Generalized Eigenvalue Problem in C with GSL and LAPACK: An Application in Quantum Mechanics

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