photons in a permutation anti-symmetric state? and what would a quantum-statistic violation mean?...

14
a permutation anti- symmetric state? and What would a quantum-statistic violation mean? Dmitry Budker http:// socrates.berkeley.edu/ ~budker Inauguration Meeting Iceland, July 2007 Support: N$F

Upload: dorthy-lyons

Post on 20-Jan-2018

214 views

Category:

Documents


0 download

DESCRIPTION

Prof. Richard P. Feynman ( ) Feynman’s Lectures on Physics, V. 3:

TRANSCRIPT

Page 1: Photons in a permutation anti-symmetric state? and What would a quantum-statistic violation mean? Dmitry…

Photons in a permutation anti-symmetric state?

and

What would a quantum-statistic violation mean?

Dmitry Budkerhttp://socrates.berkeley.edu/~budker

Inauguration MeetingIceland, July 2007

Support: N$F

Page 2: Photons in a permutation anti-symmetric state? and What would a quantum-statistic violation mean? Dmitry…

Identical particles: the ultimate equality

• Permutation symmetry postulate

• Spin-Statistics Theorem (SST)

Individualism: the ultimate diversity

Page 3: Photons in a permutation anti-symmetric state? and What would a quantum-statistic violation mean? Dmitry…

Prof. Richard P. Feynman(1918-1988)

Feynman’s Lectures on Physics, V. 3:

Page 5: Photons in a permutation anti-symmetric state? and What would a quantum-statistic violation mean? Dmitry…

How? Landau-Yang Theorem!Landau, L. D., Dokl. Akad. Nauk., USSR 60, 207-

209 (1948)

Doesn’t go because no symmetric statefor two photons with J=1

Page 6: Photons in a permutation anti-symmetric state? and What would a quantum-statistic violation mean? Dmitry…

Landau-Yang theorem and the Landau-Yang theorem and the degenerate two-photon transition degenerate two-photon transition

selection ruleselection rule • L-Y:L-Y: V(J=1) V(J=1)

• Inverse L-Y:Inverse L-Y: Nothing(J=0) + Nothing(J=0) + V(J=1) V(J=1)

MJ=0MJ=-1 MJ=1

1

12

2

Destructive interference of two quantum paths

S. N. Bose

Page 7: Photons in a permutation anti-symmetric state? and What would a quantum-statistic violation mean? Dmitry…

DeMille 11999

Page 8: Photons in a permutation anti-symmetric state? and What would a quantum-statistic violation mean? Dmitry…

Interaction region

Page 9: Photons in a permutation anti-symmetric state? and What would a quantum-statistic violation mean? Dmitry…

Lasers

Page 10: Photons in a permutation anti-symmetric state? and What would a quantum-statistic violation mean? Dmitry…

Results

Page 11: Photons in a permutation anti-symmetric state? and What would a quantum-statistic violation mean? Dmitry…

Results

Page 12: Photons in a permutation anti-symmetric state? and What would a quantum-statistic violation mean? Dmitry…

Numbers

Page 13: Photons in a permutation anti-symmetric state? and What would a quantum-statistic violation mean? Dmitry…

Damon English

Page 14: Photons in a permutation anti-symmetric state? and What would a quantum-statistic violation mean? Dmitry…

Disturbing Questions• No consistent relativistic theory accommodating

a statistics violation

• How to compare with other experiments? (Z→γγ, …)

• Constrains from lasers, BBR, static limit ?

Need a generalized E&M theory