Hamiltonian mechanics | Operator theory
In quantum mechanics, the Hamiltonian of a system is an operator corresponding to the total energy of that system, including both kinetic energy and potential energy. Its spectrum, the system's energy spectrum or its set of energy eigenvalues, is the set of possible outcomes obtainable from a measurement of the system's total energy. Due to its close relation to the energy spectrum and time-evolution of a system, it is of fundamental importance in most formulations of quantum theory. The Hamiltonian is named after William Rowan Hamilton, who developed a revolutionary reformulation of Newtonian mechanics, known as Hamiltonian mechanics, which was historically important to the development of quantum physics. Similar to vector notation, it is typically denoted by , where the hat indicates that it is an operator. It can also be written as or . (Wikipedia).
Hamiltonian Mechanics in 10 Minutes
In this video I go over the basics of Hamiltonian mechanics. It is the first video of an upcoming series on a full semester university level Hamiltonian mechanics series. Corrections -4:33 the lagrangian should have a minus sign between the first two terms, not a plus.
From playlist Summer of Math Exposition 2 videos
Physics of Quantum Annealing - Hamiltonian and Eigenspectrum
In this video we delve into the physics that describe quantum annealing: the Hamiltonian and Eigenspectrum. These are useful pictures of what is going on in the quantum annealing process. Find out more on our website https://www.dwavesys.com/quantum-computing Get one free minute of direct
From playlist Videos I made for D-Wave Systems
Hamiltonian Simulation and Universal Quantum (...) - T. Cubitt - Main Conference - CEB T3 2017
Toby Cubitt (UCL) / 14.12.2017 Title: Hamiltonian Simulation and Universal Quantum Hamiltonians Abstract: Physical (or "analogue") Hamiltonian simulation involves engineering a Hamiltonian of interest in the laboratory, and studying its properties experimentally (somewhat analogous to b
From playlist 2017 - T3 - Analysis in Quantum Information Theory - CEB Trimester
Moving on from Lagrange's equation, I show you how to derive Hamilton's equation.
From playlist Physics ONE
Quantum Theory - Full Documentary HD
Check: https://youtu.be/Hs_chZSNL9I The World of Quantum - Full Documentary HD http://www.advexon.com For more Scientific DOCUMENTARIES. Subscribe for more Videos... Quantum mechanics (QM -- also known as quantum physics, or quantum theory) is a branch of physics which deals with physica
From playlist TV Appearances
Quantum Field Theory 5c - Classical Electrodynamics III
We end with a derivation of the classical interaction Hamiltonian for a charged particle moving in an electromagnetic field. There is a lot of "turn the crank" math in this installment, but the final result will be key to our continued development of quantum field theory.
From playlist Quantum Field Theory
Quantum Mechanics Concepts: 6 Energy Operators, the Hamiltonian and Schrodinger
Part 6 of a series: setting out the Energy operator, the Hamiltonian and deriving Schrodinger's Equation.
From playlist Quantum Mechanics
Physics 69 Hamiltonian Mechanics (1 of 18) What is Hamiltonian Mechanics?
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is Hamiltonian mechanics, how are the equations derived, how the Hamiltonian equations will simplified into classical mechanics equations. To donate: http://www.ilectureonline.com/donate
From playlist PHYSICS 69 ADVANCED MECHANICS: HAMILTONIAN MECHANICS
The Atom B1 The Quantum Mechanical Picture of the Atom
The quantum mechanical model of the atom.
From playlist Physics - The Atom
Unmasking PT Symmetry by Carl M. Bender
PROGRAM NON-HERMITIAN PHYSICS (ONLINE) ORGANIZERS: Manas Kulkarni (ICTS, India) and Bhabani Prasad Mandal (Banaras Hindu University, India) DATE: 22 March 2021 to 26 March 2021 VENUE: Online Non-Hermitian Systems / Open Quantum Systems are not only of fundamental interest in physics a
From playlist Non-Hermitian Physics (ONLINE)
Hawking-Unruh Thermality and Quasinormal quantised time decay by Suraj Hegde
DISCUSSION MEETING NOVEL PHASES OF QUANTUM MATTER ORGANIZERS: Adhip Agarwala, Sumilan Banerjee, Subhro Bhattacharjee, Abhishodh Prakash and Smitha Vishveshwara DATE: 23 December 2019 to 02 January 2020 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Recent theoretical and experimental
From playlist Novel Phases of Quantum Matter 2019
Before You Start On Quantum Mechanics, Learn This
Quantum mechanics is mysterious---but not as mysterious as it has to be. Most quantum equations have close parallels in classical mechanics, where quantum commutators are replaced by Poisson brackets. Get the notes for free here: https://courses.physicswithelliot.com/notes-sign-up You can
From playlist Hamiltonian Mechanics Sequence
Quantum Optomechanics: A Selective Introduction by Aashish Clerk
Open Quantum Systems DATE: 17 July 2017 to 04 August 2017 VENUE: Ramanujan Lecture Hall, ICTS Bangalore There have been major recent breakthroughs, both experimental and theoretical, in the field of Open Quantum Systems. The aim of this program is to bring together leaders in the Open Q
From playlist Open Quantum Systems
The State of the Universe - J. Hartle - 12/9/2013
A conference celebrating the 50th anniversary of quarks honoring Murray Gell-Mann was held at Caltech on December 9-10, 2013. For more information, visit: http://hep.caltech.edu/gm/
From playlist The 50th Anniversary of Quarks Honoring Murray Gell-Mann
Lecture 8 | Modern Physics: Quantum Mechanics (Stanford)
Lecture 8 of Leonard Susskind's Modern Physics course concentrating on Quantum Mechanics. Recorded March 3, 2008 at Stanford University. This Stanford Continuing Studies course is the second of a six-quarter sequence of classes exploring the essential theoretical foundations of modern
From playlist Course | Modern Physics: Quantum Mechanics
A short introduction to quantum quenches in integrable models (Lecture 01) by Fabian Essler
PROGRAM: INTEGRABLE SYSTEMS IN MATHEMATICS, CONDENSED MATTER AND STATISTICAL PHYSICS ORGANIZERS: Alexander Abanov, Rukmini Dey, Fabian Essler, Manas Kulkarni, Joel Moore, Vishal Vasan and Paul Wiegmann DATE : 16 July 2018 to 10 August 2018 VENUE: Ramanujan Lecture Hall, ICTS Bangalore
From playlist Integrable systems in Mathematics, Condensed Matter and Statistical Physics
How to Come Up with the Semi-Implicit Euler Method Using Hamiltonian Mechanics #some2 #PaCE1
Notes for this video: https://josephmellor.xyz/downloads/symplectic-integrator-work.pdf When you first learn about Hamiltonian Mechanics, it seems like Lagrangian Mechanics with more work for less gain. The only reason we even learn Hamiltonian Mechanics in undergrad is that the Hamiltoni
From playlist Summer of Math Exposition 2 videos
Squeezed atom laser from non-Hermitian Bose-Einstein condensate by Sanjib Dey
Non-Hermitian Physics - PHHQP XVIII DATE: 04 June 2018 to 13 June 2018 VENUE:Ramanujan Lecture Hall, ICTS Bangalore Non-Hermitian Physics-"Pseudo-Hermitian Hamiltonians in Quantum Physics (PHHQP) XVIII" is the 18th meeting in the series that is being held over the years in Quantum Phys
From playlist Non-Hermitian Physics - PHHQP XVIII
The Atom B3 The Quantum Mechanical Picture of the Atom
The quantum mechanical model of the atom.
From playlist Physics - The Atom