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Concept

Siméon Denis Poisson

Related lectures (27)

Bounding the Poisson bracket invariant on surfaces

Covers the concept of bounding the Poisson bracket invariant on surfaces, exploring joint work with A. Logunov and S. Tanny.

Mechanics: Springs and Coordinates

Explores spring problems, Poisson's formula, and generalized coordinates in physics.

Polymer Collapse: Covolume and Free Energy

Explores polymer collapse, emphasizing covolume and free energy in the process.

Quantum Physics I

Explores discrete and continuous degrees of freedom, canonical commutation relations, and the correspondence between classical and quantum mechanics.

Non-linear dynamics: phenomenology, tools and methods

Explores Hamiltonian and Lagrangian formulations, canonical variables, Lie operators, and their applications in beam dynamics and nonlinear systems.

Hamiltonian Mechanics: Phase Space and Poisson Bracket

Explores phase space, the Poisson bracket, and Hamiltonian mechanics concepts.

Hamilton's Formalism: Equations and Transformations

Explores Hamilton's formalism, canonical equations, and Poisson brackets in classical and quantum mechanics.

Quantum Simulation with nextnano

Covers the nextnano software for quantum simulation of nanostructures, including input structure, material doping, and self-consistent solutions for Poisson, Drift-Diffusion, and Schrödinger Equations.

Conservation Laws and Symmetries

Explores conservation laws and symmetries in physics, focusing on Lorentz invariance and its implications on energy and momentum.

Physics Problems: Springs, Forces, and Coordinates

Covers springs, forces, and coordinates, including diatomic molecules, relative motion, and reduced mass.

Gravitational Potential Theory

Covers Newtonian mechanics, potential theory, Poisson Equation, Gauss Theorem, and spherical systems.

Feedback and Coordination in Physics Lectures

Covers feedback, kinematics, rotational motion, and rigid body dynamics in physics.

Coordinate Systems: Polar, Cylindrical, Spherical

Covers position, velocity, and acceleration in polar, cylindrical, and spherical coordinate systems.

Kinematics and Dynamics of Rigid Bodies

Explores inertia tensor, Euler equations, and angular momentum in rigid bodies.

Introduction to nextnano: Simulation and Analysis

Covers the nextnano simulation software, focusing on input file structure, simulation process, and analysis methods.

Existence of Minimizers: Direct Methods Log in to Mediaspace to watch this video

Covers direct methods for finding minimizers in the Poisson equation, emphasizing the importance of convexity and boundary conditions.

Poisson Problem with Neumann Boundary Conditions Log in to Mediaspace to watch this video

Explores the Poisson problem with Neumann boundary conditions and periodic boundary conditions in mathematical modeling and fluid dynamics.

Poisson Formula: Descent Method Log in to Mediaspace to watch this video

Explores the Poisson formula using the descent method and Kirchhoff's solution.

Poisson Problem: Fourier Transform Approach Log in to Mediaspace to watch this video

Explores solving the Poisson problem using Fourier transform, discussing source terms, boundary conditions, and solution uniqueness.

Poisson & Laplace Equations: Understanding Electrostatics Log in to Mediaspace to watch this video

Explores the derivation of a potential function without knowing the charge distribution and its practical implications in analyzing electrostatic problems.