Hamiltonian mechanics | Dimensional analysis | Dynamical systems

Phase space

In dynamical system theory, a phase space is a space in which all possible states of a system are represented, with each possible state corresponding to one unique point in the phase space. For mechanical systems, the phase space usually consists of all possible values of position and momentum variables. It is the outer product of direct space and reciprocal space. The concept of phase space was developed in the late 19th century by Ludwig Boltzmann, Henri Poincaré, and Josiah Willard Gibbs. (Wikipedia).

Phase space
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Covariant Phase Space with Boundaries - Daniel Harlow

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From playlist Natural Sciences

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What is space?

What exactly is space? Brian Greene explains what the "stuff" around us is. Subscribe to our YouTube Channel for all the latest from World Science U. Visit our Website: http://www.worldscienceu.com/ Like us on Facebook: https://www.facebook.com/worldscienceu Follow us on Twitter: https:

From playlist Science Unplugged: Physics

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What is a dimension? In 3D...and 2D... and 1D

1D - it's the new 3D! Tweet it - http://bit.ly/mP3FFo Facebook it - http://on.fb.me/qtTraR minutephysics is now on Google+ - http://bit.ly/qzEwc6 And facebook - http://facebook.com/minutephysics Minute Physics provides an energetic and entertaining view of old and new problems

From playlist MinutePhysics

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What is spacetime?

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From playlist Science Unplugged: Special Relativity

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Phase space representation of billiards interpolating between a circle and a hexagon

In this simulation, I wanted to see what happens when you continuously deform the boundary of a billiard from a circle to a regular hexagon. The billiard in a circle has very regular dynamics (the technical work is "integrable"), because a given trajectory always hits the boundary with the

From playlist Particles in billiards

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Ryan Thorngren - Higher Berry Phase and Diabolical Points in Phase Diagrams of Many-body Systems

The Berry phase is a well-known phenomenon in quantum mechanics with many profound implications. It describes the response of the phase of the wavefunction to the adiabatic evolution of system parameters, defining a U(1) connection on the parameter space. In many-body systems described by

From playlist Quantum Encounters Seminar - Quantum Information, Condensed Matter, Quantum Field Theory

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EARTH FROM SPACE: Like You've Never Seen Before

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From playlist Space Videos

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Phase space representation of the billiard in an annulus

This video shows phase space representations of billiards in annular regions, obtained by moving a smaller circle inside a larger one. Phase space representations are a tool widely used by mathematicians to analyze the dynamics of mathematical billiards. This representation allows to obta

From playlist Particles in billiards

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Dimensions (1 of 3: The Traditional Definition - Directions)

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From playlist Exploring Mathematics: Fractals

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Geometry and Topology in Quantum Mechanics - Mathematical Properties by N. Mukunda

DISCUSSION MEETING GEOMETRIC PHASES IN OPTICS AND TOPOLOGICAL MATTER ORGANIZERS: Subhro Bhattacharjee, Joseph Samuel and Supurna Sinha DATE: 21 January 2020 to 24 January 2020 VENUE: Madhava Lecture Hall, ICTS, Bangalore This is a joint ICTS-RRI Discussion Meeting on the geometric pha

From playlist Geometric Phases in Optics and Topological Matter 2020

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Lecture 7 | Modern Physics: Classical Mechanics (Stanford)

Lecture 7 of Leonard Susskind's Modern Physics course concentrating on Classical Mechanics. Recorded November 26, 2007 at Stanford University. This Stanford Continuing Studies course is the first of a six-quarter sequence of classes exploring the essential theoretical foundations of mo

From playlist Course | Modern Physics: Classical Mechanics

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Let's Learn Physics: Chaos in Phase Space

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From playlist Let's Learn (Classical) Physics: ZAP Physics Livestreams

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Lecture 6 | Modern Physics: Statistical Mechanics

May 4, 2009 - Leonard Susskind explains the second law of thermodynamics, illustrates chaos, and discusses how the volume of phase space grows. Stanford University: http://www.stanford.edu/ Stanford Continuing Studies Program: http://csp.stanford.edu/ Stanford University Channe

From playlist Lecture Collection | Modern Physics: Statistical Mechanics

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Ross Harder - Bragg Coherent Diffraction Imaging at the Advanced Photon Source 34-ID Beamline

Recorded 12 October 2022. Ross Harder of the Argonne National Laboratory presents "Bragg Coherent Diffraction Imaging at the Advanced Photon Source 34-ID Beamline" at IPAM's Diffractive Imaging with Phase Retrieval Workshop. Abstract: The 34-ID-C beamline at the APS is dedicated to Bragg C

From playlist 2022 Diffractive Imaging with Phase Retrieval - - Computational Microscopy

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The Fock-Space Landscape across the Many-Body Localisation Transition by Sthitadhi Roy

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From playlist Seminar Series

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Phases to Phases: An invitation to Topological Phases of Many Particles by Vijay shenoy

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From playlist Geometric Phases in Optics and Topological Matter 2020

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Angular momentum, Geometric phase and spin orbit interaction of Light by Nirmalya Ghosh

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From playlist Structured Light and Spin-Orbit Photonics - Edited

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Open Space 55: Jason Derleth, NASA's Innovative Advanced Concepts

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From playlist Open Space - Live QA with Fraser Cain and Guests

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Logistic map | Generalized coordinates | Moyal product | Temperature | Geometric quantization | Hamiltonian mechanics | Action (physics) | Wigner–Weyl transform | Degrees of freedom (physics and chemistry) | Outer product | Phase plane | Identical particles | Parameter space | Momentum | Parameter | Initial condition | Mandelbrot set | John von Neumann | Cotangent bundle | State space | Uncertainty principle | Ordinary differential equation | Chaos theory | Distribution (mathematics) | Limit cycle | Henri Poincaré | Phase line (mathematics) | Dynamical systems theory | Lagrangian mechanics | Van der Pol oscillator | Manifold | Method of quantum characteristics | Hilbert space | Gibbs paradox | Hermann Weyl | Phase-space formulation | Phase portrait | Symplectic manifold | State space (physics) | Liouville's theorem (Hamiltonian) | Partition function (mathematics) | Josiah Willard Gibbs | Phase space method | Complex quadratic polynomial | Autonomous system (mathematics) | Space (mathematics)