Graduate Lecture Series29 June – 3 July, 2009
Prof Ngee-Pong Chang
Lecture 4
Electron Spin
George Uhlenbeck1900 - 1988
S. Goudsmit1902 - 1978
Pieter Zeeman1865 - 1943
Photo taken by Zeeman of the splitting of the spectral lines in intense magnetic field. Reported on Saturday, October 31, 1896 at the meeting of the Royal Netherlands Academy of Arts and Sciences in Amsterdam, where these results were communicated by Kamerlingh Onnes. The next Monday, Lorentz called Zeeman in his office and presented him with an explanation of his observations, based on Lorentz' theory of electromagnetic radiation.
Hendrik A Lorentz1853 - 1928
Relationship between Magnetic
Moment and Orbital Angular
Momentum
Larmor Precession
Zeeman Effect
Photo taken by Zeeman of the splitting of the spectral lines in intense magnetic field. Reported on Saturday, October 31, 1896 at the meeting of the Royal Netherlands Academy of Arts and Sciences in Amsterdam, where these results were communicated by Kamerlingh Onnes. The next Monday, Lorentz called Zeeman in his office and presented him with an explanation of his observations, based on Lorentz' theory of electromagnetic radiation.
Anomalous Zeeman effect
Anomalous Zeeman Effect
Classical radius of the electron
Classical picture of electron spin
!!!!!
Compton wavelengthOf the electron
Paul Ehrenfest1880 - 1933
G.E. Uhlenbeck and S. Goudsmit, Naturwissenschaften 47 (1925) 953.
A subsequent publication by the same authors, Nature 117 (1926) 264, is followed by a very interesting postscript by N. Bohr.
See:http://www.lorentz.leidenuniv.nl/history/spin/goudsmit.html
Ralph Kronig1904 - 1995
Wolfgang Pauli1900 - 1958
Pauli & Bohr & a spinning top
g – factor of the electron
Llewellyn H. Thomas1903-1992
Thomas Precession of
electron spin as a general
relativity effect
Note to Goudsmit by L.H. Thomas Mar 25, 1926
Note to Goudsmit by L.H. Thomas Mar 25, 1926
I think you and Uhlenbeck have been very lucky to get your spinning electron published talked about before Pauli heard of it. It appears that more than a year ago Kronig believed in the spinning electron and worked out something; the first person he showed it to was Pauli. Pauli ridiculed the whole thing so much that the first person became also the last and no one else heard anything of it. Which all goes to show that the infallibility of the Deity does not extend to his self-styled vicar on earth.
Wolfgang Pauli1900 - 1958
Denotes electron wave function with spin up
Denotes electron wave function with spin down
Pauli Spinor Wave Function
Pauli Spin Matrices
Group Properties
Spin Eigenfunctions
Measured Spin:Relation to
Pauli Spin Wave Function
NormalizationCondition
Spin pointing in other than z-direction
Spin pointing in other than z-direction
Precession of Electron Spin
B-field in z-direction
Precession of Electron Spin
Precession of Electron Spin
Precession of Electron Spin
Rotating the Electron
Elementary Particles and the Laws of Physics: the 1986 Dirac Memorial Lectures by Richard Feynman, Steven Weinberg
Why does the spin precesswhen there is No applied B field ?
Origin of Spin-Orbit CouplingElectron moving in a static E field sees a magnetic field, B :
Electron spin precesses around this B field according to the magnetic moment interaction
Electron orbiting around nucleus
In electron rest frame, nucleus orbiting around electron
Why does the spin precesswhen there is No applied B field ?
Electron sees a B-field when it moves in a Voltage gate
Origin of the Rashba term for spin-orbit
coupling
Spintronics berlin lecture michaeli hulsen spin-fet Slide 9.
Spintronics berlin lecture michaeli hulsen spin-fet Slide 11.
Spintronics berlin lecture michaeli hulsen spin-fet Slide 22.
Spintronics berlin lecture michaeli hulsen spin-fet Slide 12.
Spintronics Datta-Das Spin Field Effect Transistor
Precession controlled by Voltage gate
Das Sarma RMP v76 00323 (2004) fig. 1
Das Sarma American Scientist v89, 516 (2001), Fig 3
Spintronics ferro insulator Ferromagnetic tunneling
Das Sarma RMP v76 2004 00323, fig. 2
Das Sarma American Scientist v89, 516 (2001), Fig 7
Spintronics Solar CellDatta-Das device
Das Sarma American Scientist v89, 516 (2001), Fig 5
Das Sarma American Scientist v89, 516 (2001), Fig 2
Spin injection from a ferromagnet (F) into a normal metal (N)
Das Sarma RMP v76 2004 00323, fig. 4
Spintronics spin injection accumulator detection
Das Sarma RMP v76 2004 00323, fig. 5
Spintronics berlin lecture michaeli hulsen spin-fet Slide 10.
Spintronics berlin lecture michaeli hulsen spin-fet