Hamiltonian (quantum theory) | Wikipedia audio article
Channel: wikipedia tts
Date: 2018-12-29

This is an audio version of the Wikipedia Article:
https://en.wikipedia.org/wiki/Hamiltonian_(quantum_mechanics)


00:00:39 1 Introduction
00:01:10 2 The Schrödinger Hamiltonian
00:01:20 2.1 One particle
00:02:02 2.2 Many particles
00:06:02 3 Schrödinger equation
00:16:08 4 Dirac formalism
00:19:05 5 Expressions for the Hamiltonian
00:20:30 5.1 General forms for one particle
00:21:00 5.2 Free particle
00:21:09 5.3 Constant-potential well
00:22:16 5.4 Simple harmonic oscillator
00:23:44 5.5 Rigid rotor
00:29:56 5.6 Electrostatic or coulomb potential
00:32:22 5.7 Electric dipole in an electric field
00:38:40 5.8 Magnetic dipole in a magnetic field
00:40:20 5.9 Charged particle in an electromagnetic field
00:42:30 6 Energy eigenket degeneracy, symmetry, and conservation laws
00:45:32 7 Hamilton's equations
00:50:10 8 See also
00:57:26 9 References



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SUMMARY
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In quantum mechanics, a Hamiltonian is an operator corresponding to the total energy of the system in most of the cases. It is usually denoted by H, also Ȟ or Ĥ. Its spectrum is the set of possible outcomes when one measures the total energy of a system.  Because of its close relation to the 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 created a revolutionary reformation of Newtonian mechanics that is now called Hamiltonian mechanics which is important in quantum physics.