Completed
Why is the phase geometric?
Class Central Classrooms beta
YouTube videos curated by Class Central.
Classroom Contents
Geometric Phases and the Separation of the World by Michael Berry
Automatically move to the next video in the Classroom when playback concludes
- 1 Prehistory: The first geometric phase, discovered in the optics of crystals in 1830
- 2 "The radiant Stranger", TrinityCollege Dublin, 24 May 2018
- 3 Phase: Describes the stages of any cyclic process
- 4 Underlying mathematics Gauss approximate 1800: parallel transport in the presence of curvature
- 5 Foucault pendulum
- 6 Underlying parallel transport: Anholonomy
- 7 The geometric phase
- 8 Dynamical phase and geometric phase
- 9 Measure the geometric phase by interference
- 10 Polarisation rotation in a coiled optical fiber
- 11 Polarisation rotation of spinning neutrons
- 12 Why is the phase geometric?
- 13 Exchange sign is a topological phase Pi for Pauli
- 14 A new calculation, with Pragya Shukla: probability distribution of curvature C for random parameter-dependent states
- 15 Numerical simulation, 10000 sample hamiltonians
- 16 Real symmetric matrix, eg. time-reversal symmetry
- 17 Beyond adiabatic i driven parameters Rt
- 18 Represent solution by unit spin expectation vector
- 19 The series eventually diverges, because higher terms involve higher derivatives
- 20 Divergence is inevitable, in order to accommodate transitions - exponentially weak, i.e beyond all orders epsilon power n
- 21 Optimal truncation: smoothest birth of the transition
- 22 Where is the phase?
- 23 Beyond adiabatic 2: dynamics of parameters Rt
- 24 Pi is a special case of the phase, amounting to a reversal
- 25 Geometric magnetism from the polarisation-rotation phase of light
- 26 Separation is fundamental to the practice of science
- 27 Geometric phase timeline
- 28 1983. Simon: connection with fiber bundles, Chern class
- 29 Eponymous nomenclature
- 30 Back to the beginning: easy way to see hamilton's cone and its geometric phase: do-it-yourself cononscopy
- 31 Fringes are contours of cone separation
- 32 Some references, all downloadable from http://michaelberryphisics.wordpress.com
