Generated by All in One SEO v4.9.10, this is an llms.txt file, used by LLMs to index the site. # Computational Physics Computational Physics blog ## Sitemaps - [XML Sitemap](https://compphys.go.ro/sitemap.xml): Contains all public & indexable URLs for this website. ## Posts - [DFT for an atom](https://compphys.go.ro/dft-for-an-atom/) - Density functional theory for an atom, LDA, 1D, shooting with Numerov for Schrodinger equation, multigrid for Poisson equation, on a non uniform grid - [Percolation in fortran](https://compphys.go.ro/percolation-in-fortran/) - Introduction I thought I should add another project1 to my GitHub repositories and since I was mainly extending the Quantum Computing Simulator project I decided to implement something very simple, but still very rich, a model that despite being simple is still useful for many physical phenomena and also exhibits a phase transition... that is, - [Machine Learning from scratch](https://compphys.go.ro/machine-learning-from-scratch/) - From simple linear regression, through logistic regression, generalized linear regression, to neural networks. Using stochastic gradient descent (up to AdamW). - [Time Evolving Block Decimation](https://compphys.go.ro/time-evolving-block-decimation/) - Time Evolving Block Decimation - [Quantum Computing Simulator](https://compphys.go.ro/quantum-computing-simulator/) - Quantum computing simulator and algorithms implementation description. A simulator that is comparable in performance with 'state of the art' simulators - [Car-Parrinello Quantum Molecular Dynamics](https://compphys.go.ro/car-parrinello-quantum-molecular-dynamics/) - Car-Parrinello quantum molecular dynamics for hydrogen molecule implemented in python - [Updates to projects](https://compphys.go.ro/updates-to-projects/) - Information about projects changes and additions since their corresponding blog entry was posted. Some projects have serious additions, worth describing. - [Augmented Plane Waves](https://compphys.go.ro/augmented-plane-waves/) - Augmented Plane Wave method for Cu, using the muffin tin approximation and a pseudopotential, both APW and LAPW - [Chaos](https://compphys.go.ro/chaos/) - Chaos in low-dimensional Competitive Lotka–Volterra models - [Newtonian Gravity](https://compphys.go.ro/newtonian-gravity/) - A gravity simulation using Velocity Verlet and displaying graphics with OpenGL. - [Electric Field Lines](https://compphys.go.ro/electric-field-lines/) - Electric field lines and equipotentials for electric charges, using Runge-Kutta methods, including adaptive ones. - [The Kondo Effect](https://compphys.go.ro/the-kondo-effect/) - Some theoretical things about the Kondo Effect, to be referred at the numerical renormalization group implementation - [Quantum Dots](https://compphys.go.ro/quantum-dots/) - A short description of quantum dots - [Renormalization Groups](https://compphys.go.ro/renormalization-groups/) - Some brief generalities about renormalization groups - [The Numerical Renormalization Group](https://compphys.go.ro/the-numerical-renormalization-group/) - A simple program implementing the numerical renormalization group. - [Monte Carlo Methods](https://compphys.go.ro/monte-carlo-methods/) - Some theory about the Monte Carlo methods - [The Ising Model](https://compphys.go.ro/the-ising-model/) - The 2D Ising Model and a simple Metropolis Monte Carlo implemented in JavaScript for a grid with periodic boundary conditions close to critical temperature - [Metropolis for 2D Ising and spin block renormalization](https://compphys.go.ro/metropolis-for-2d-ising-and-spin-block-renormalization/) - The 2D Ising Model and a Metropolis Monte Carlo algorithm implemented in C++ for a grid with periodic boundary conditions. Spin block renormalization group. - [Event Driven Molecular Dynamics](https://compphys.go.ro/event-driven-molecular-dynamics/) - Event Driven Molecular Dynamics for hard smooth spheres - [How to solve a quantum many body problem](https://compphys.go.ro/how-to-solve-a-quantum-many-body-problem/) - Some general theory about dealing with quantum many body problems - [The Hartree-Fock method](https://compphys.go.ro/the-hartree-fock-method/) - Some theory about Hartree-Fock method - [The Hartree-Fock program](https://compphys.go.ro/the-hartree-fock-program/) - Hartree-Fock program description - [Density Matrix Renormalization Group](https://compphys.go.ro/density-matrix-renormalization-group/) - Density Matrix Renormalization Group theory and program example for Heisenberg chains - [Relaxation Method](https://compphys.go.ro/relaxation-method/) - The relaxation method for Laplace equation with multigrid improvement - [Lattice Boltzmann](https://compphys.go.ro/lattice-boltzmann/) - Description and implementation of an open source 2D Lattice Boltzmann program - [Nuclear Magnetic Resonance and Fourier Transform](https://compphys.go.ro/nuclear-magnetic-resonance-and-fourier-transform/) - 2D Fourier Transform of Nuclear Magnetic Resonance Imaging raw data. Using a FFT class I wrote as a wrapper for FFTW library. Left side: raw data. Right side: image obtained from the data. The program also allows filtering out high or/and low frequency information. - [Solving Poisson Equation](https://compphys.go.ro/solving-poisson-equation/) - Solving Poisson equation using a spectral method, also introducing the visualization toolkit VTK that will be used for other projects for this blog - [Density Functional Theory](https://compphys.go.ro/density-functional-theory/) - Density Functional Theory - [DFT for a Quantum Dot](https://compphys.go.ro/dft-for-a-quantum-dot/) - Density Functional Theory for a Quantum Dot, implemented with plane waves basis - [Empirical Pseudopotential](https://compphys.go.ro/empirical-pseudopotential/) - Band structure computation using the empirical pseudopotential method - [Tight Binding](https://compphys.go.ro/tight-binding/) - Semi-empirical tight-binding computation of the electronic structure of semiconductors - [Quantum Scattering](https://compphys.go.ro/quantum-scattering/) - Scattering computation on a parametrized Lennard-Jones potential. Cross section function of energy is charted. The peaks are due of resonant scattering states - [Ray Tracing](https://compphys.go.ro/ray-tracing/) - Ray tracing implementation for CGI - [Korringa–Kohn–Rostoker method](https://compphys.go.ro/korringa-kohn-rostoker-method/) - Korringa–Kohn–Rostoker / KKR, multiple scattering theory, Green's function method, computing the band structure of Cu with muffin tin approx & pseudopotential - [Epidemic](https://compphys.go.ro/epidemic/) - A model for epidemics with molecular dynamics - [Variational Quantum Monte Carlo](https://compphys.go.ro/variational-quantum-monte-carlo/) - Variational Quantum Monte Carlo for a molecule ## Pages - [About this blog](https://compphys.go.ro/about-this-blog/) - Some generalities about the computational physics blog - [Privacy Policy](https://compphys.go.ro/privacy-policy/) - Who we are Our website address is: https://compphys.go.ro. This site is owned and operated by a private person, so rules and regulations intended for companies do not apply. What personal data we collect and why we collect it Cookies Cookies are small files saved on your computer, which can contain some information, such as an - [Register](https://compphys.go.ro/register/) - [Activate](https://compphys.go.ro/activate/) - [About me](https://compphys.go.ro/about-me/) - Some information about the owner and contact form ## Categories - [Theory](https://compphys.go.ro/category/theory/) - This post is about theory only. - [Programming](https://compphys.go.ro/category/programming/) - This post is about programming only. - [Computational Physics](https://compphys.go.ro/category/compphys/) - This post contains both theory and programming. - [CodeProject](https://compphys.go.ro/category/codeproject/) ## Tags - [Classical Physics](https://compphys.go.ro/tag/clasphys/) - Classical Physics - [Quantum Physics](https://compphys.go.ro/tag/quantphys/) - Quantum Physics - [Electromagnetism](https://compphys.go.ro/tag/electromagnetism/) - Electromagnetism - [Statistical Physics](https://compphys.go.ro/tag/statphys/) - Statistical Physics - [Classical Mechanics](https://compphys.go.ro/tag/classicalmec/) - Classical Mechanics - [Renormalization](https://compphys.go.ro/tag/renorm/) - Renormalization - [Ab Initio](https://compphys.go.ro/tag/abinitio/) - Ab Initio - [Variational Principle](https://compphys.go.ro/tag/variational-principle/) - [Schrödinger equation](https://compphys.go.ro/tag/schrodinger-equation/) - [Born–Oppenheimer approximation](https://compphys.go.ro/tag/born-oppenheimer-approximation/) - [Perturbation theory](https://compphys.go.ro/tag/perturbation-theory/) - [Exact diagonalization](https://compphys.go.ro/tag/exact-diagonalization/) - [Molecular Dynamics](https://compphys.go.ro/tag/molecular-dynamics/) - [Newtonian Physics](https://compphys.go.ro/tag/newtonian-physics/) - [Gravity](https://compphys.go.ro/tag/gravity/) - [Monte Carlo](https://compphys.go.ro/tag/monte-carlo/) - [Ising Model](https://compphys.go.ro/tag/ising-model/) - [Partial differential equations](https://compphys.go.ro/tag/partial-differential-equations/) - [numerical methods](https://compphys.go.ro/tag/numerical-methods/) - [Matrix Product States](https://compphys.go.ro/tag/matrix-product-states/) - [Heisenberg Model](https://compphys.go.ro/tag/heisenberg-model/) - [fluid dynamics](https://compphys.go.ro/tag/fluid-dynamics/) - [Fourier Transform](https://compphys.go.ro/tag/fourier-transform/) - [spectral methods](https://compphys.go.ro/tag/spectral-methods/) - [Kohn-Sham](https://compphys.go.ro/tag/kohn-sham/) - [condensed matter](https://compphys.go.ro/tag/condensed-matter/) - [band structure](https://compphys.go.ro/tag/band-structure/) - [pseudopotential](https://compphys.go.ro/tag/pseudopotential/) - [empirical](https://compphys.go.ro/tag/empirical/) - [crystal](https://compphys.go.ro/tag/crystal/) - [Runge-Kutta](https://compphys.go.ro/tag/runge-kutta/) - [Chaos](https://compphys.go.ro/tag/chaos/) - [differential equations](https://compphys.go.ro/tag/differential-equations/) - [Numerov](https://compphys.go.ro/tag/numerov/) - [phase shift](https://compphys.go.ro/tag/phase-shift/) - [cross section](https://compphys.go.ro/tag/cross-section/) - [ray tracing](https://compphys.go.ro/tag/ray-tracing/) - [optics](https://compphys.go.ro/tag/optics/) - [density functional theory](https://compphys.go.ro/tag/density-functional-theory/) - [computational physics](https://compphys.go.ro/tag/computational-physics/) - [simulation](https://compphys.go.ro/tag/simulation/) - [artificial neural networks](https://compphys.go.ro/tag/artificial-neural-networks/) - [regression](https://compphys.go.ro/tag/regression/) - [classification](https://compphys.go.ro/tag/classification/) - [logistic](https://compphys.go.ro/tag/logistic/) - [stochastic gradient descent](https://compphys.go.ro/tag/stochastic-gradient-descent/) - [optimization](https://compphys.go.ro/tag/optimization/) ## Picture tag - [linear regression](https://compphys.go.ro/ngg_tag/linear-regression/) - [logistic regression polar coordinates](https://compphys.go.ro/ngg_tag/logistic-regression-polar-coordinates/) - [logistic regression](https://compphys.go.ro/ngg_tag/logistic-regression/) - [polynomial regression](https://compphys.go.ro/ngg_tag/polynomial-regression/) - [overfitting](https://compphys.go.ro/ngg_tag/overfitting/) - [polynomial regression quartic](https://compphys.go.ro/ngg_tag/polynomial-regression-quartic/) - [training loss](https://compphys.go.ro/ngg_tag/training-loss/)