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Hydrogenic Atom Stability
Covers the proof of the Coulomb uncertainty principle and the stability of hydrogenic atoms.
Deep Neural Network Solution of the Electronic Schrödinger Equation
Explores deep neural network solutions for the electronic Schrödinger equation and their computational efficiency in many-body physics.
Proof of Weyl's Theorem
Explores the proof of Weyl's theorem, focusing on discrete spectrum, ground states, and potential energy continuity.
Hydrogen Atom: Schrödinger Equation
Explores the historical atomic models, Schrödinger equation for hydrogen atom, and quantum numbers.
Quantum Physics I: Time Evolution of Oscillator
Covers the time evolution of an oscillator in quantum physics.
Theoretical Foundations of DFT
Explores the Hohenberg-Kohn Theorems, electron density distributions, and the variational principle in DFT.
Wave mechanics: Harmonic oscillations
Covers harmonic oscillations, energy eigenstates, and the stationary Schrödinger equation in wave mechanics.
Quantum Particle in Square Potential Well
Analyzes the evolution of a quantum particle in a square potential well.
Time Dependence in Quantum Mechanics
Explores time dependence in Quantum Mechanics, wavepackets, stationary states, and probability density.
Quantum Mechanics: Energy Levels
Explores quantum mechanics, energy quantization, and wave-particle duality in microscopic systems.