Effective Gaps for Time-Periodic Hamiltonians Modeling Floquet Materials
Exploration of Floquet materials and their energy transport properties, focusing on effective quasi-energy gaps in parametrically forced Schrödinger equations and their implications for band-limited Dirac wave-packets.
Perturbations of Periodic Sturm-Liouville Operators
Explore perturbations of periodic Sturm-Liouville operators, focusing on Hill's equation and its applications in crystal physics. Analyze spectral changes under L1-assumptions and finite first moment conditions.
Unique Continuation for Solutions of Discrete and Continuous Elliptic Partial Differential Equations
Explore unique continuation properties for elliptic equation solutions, including discrete harmonic functions and the Landis conjecture, with applications to Anderson localization.
Origins of the Laws of Nature - Peter Atkins
Explore the origins of fundamental laws of nature, from thermodynamics to quantum mechanics. Peter Atkins argues that the universe's complexity arose from very little, challenging our understanding of reality's foundations.
Stationary States and the Shooting Method in Quantum Mechanics
Explore stationary states in quantum mechanics using computational modeling and the shooting method to solve the Schrödinger equation.
Particle in a Box Part 2 - Interpreting the Results
Explore orthogonality, expectation values, and subtle aspects of quantum particle solutions in an infinite square well, building on previous Schrödinger equation insights.
Particle in a Box Part 1 - Solving the Schrödinger Equation
Explore the Schrödinger equation's application to the "Particle in a Box" problem, solving for eigenfunctions and eigenenergies in an infinite square well potential.
Many-Body Perturbation Theory and Wavefunction Methods: A Physics Perspective
Explore many-body perturbation theory and wavefunction methods from a physics perspective, covering applications, multiscale modeling, and advanced quantum mechanics concepts.
Fractal Uncertainty Principle and Quantum Chaos
Explore quantum chaos and fractal uncertainty principle in wave equations, with applications to eigenfunctions, Schrödinger equation, and hyperbolic surfaces. Gain insights beyond classical/quantum correspondence.
What Is the Quantum Theory of Matter? - The Theory of Everything: The Quest to Explain All Reality
Explore the evolution of quantum theory through Einstein's photoelectric effect, Rutherford's atomic model, Bohr's updates, and Schrödinger's equation, unraveling the wave-particle duality of light and matter.
The Schrödinger Equation - The Core of Quantum Mechanics - Episode 12
Explore the Schrödinger Equation, the foundation of quantum mechanics, with Brian Greene. Learn its origins, applications, and significance in understanding the universe through accessible explanations and engaging stories.
The Quantum Harmonic Oscillator Part 2 - Solving the Schrödinger Equation
Explore the quantum harmonic oscillator by solving the Schrödinger equation, revealing key insights into quantum mechanics and its implications for understanding the microscopic world.
The Quantum Barrier Potential Part 2 - Defining the Transmission and Reflection Coefficients
Explore quantum barrier potential, transmission and reflection coefficients, and quantum tunneling. Gain insights into solving Schrödinger equations and understanding modern physics concepts.
Wavefunction Properties, Normalization, and Expectation Values
Explore quantum mechanics through wavefunctions, normalization, and expectation values. Learn about Hilbert spaces, bra-ket notation, and the superposition principle to gain a deeper understanding of quantum systems.
Wave Function Evolver - Implementing the Schrodinger Equation - Episode 1
Explore quantum mechanics through coding the Schrödinger Equation using finite difference methods. Implement and visualize wave function evolution in VPython.
Quantum Mechanics - PHYS 413 - March 25, 2020
Explore fundamental principles and applications of quantum mechanics in this comprehensive university-level physics lecture, covering advanced concepts and theories.
Potential Wells and Barriers in Computational Quantum Mechanics - Lecture 7
Simulate quantum mechanics with VPython, visualizing electron behavior in potential wells and barriers through computer animations.
Schrodinger Difference Equation - Computational Quantum Mechanics Part 2
Transform the Schrodinger equation into a difference equation and animate the wave function using VPython. Visualize quantum mechanics behaviors through computer animations.
Some Open Mathematical Problems Concerning Charged Quantum Particles
Explore open mathematical challenges related to charged quantum particles, delving into complex theoretical concepts and unsolved problems in quantum physics.
Probabilistic and Deterministic Scattering for Non-linear Schrödinger Equations
Explore probabilistic and deterministic scattering in non-linear Schrödinger equations, examining random initial data and wave operators through recent research findings.
How Our Universe Violates the Law of Energy Conservation
Explore how the universe may violate energy conservation, examining quantum mechanics, general relativity, and cosmic expansion to challenge our understanding of this fundamental law.