p3316 spring2009 lecture25 - cornell university€¦ · 25/03/2009  · lecture 25: 03/25/09. iii 6...

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Lecture 25: 03/25/09

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Page 1: P3316 spring2009 lecture25 - Cornell University€¦ · 25/03/2009  · Lecture 25: 03/25/09. III 6 Dirac Notation : Photon state: III 8 Another example: Photon Polarization States

Lecture 25: 03/25/09

Page 2: P3316 spring2009 lecture25 - Cornell University€¦ · 25/03/2009  · Lecture 25: 03/25/09. III 6 Dirac Notation : Photon state: III 8 Another example: Photon Polarization States

III6 Dirac Notation:

Page 3: P3316 spring2009 lecture25 - Cornell University€¦ · 25/03/2009  · Lecture 25: 03/25/09. III 6 Dirac Notation : Photon state: III 8 Another example: Photon Polarization States

Photon state:

III8 Another example: Photon Polarization States

Page 4: P3316 spring2009 lecture25 - Cornell University€¦ · 25/03/2009  · Lecture 25: 03/25/09. III 6 Dirac Notation : Photon state: III 8 Another example: Photon Polarization States
Page 5: P3316 spring2009 lecture25 - Cornell University€¦ · 25/03/2009  · Lecture 25: 03/25/09. III 6 Dirac Notation : Photon state: III 8 Another example: Photon Polarization States
Page 6: P3316 spring2009 lecture25 - Cornell University€¦ · 25/03/2009  · Lecture 25: 03/25/09. III 6 Dirac Notation : Photon state: III 8 Another example: Photon Polarization States
Page 7: P3316 spring2009 lecture25 - Cornell University€¦ · 25/03/2009  · Lecture 25: 03/25/09. III 6 Dirac Notation : Photon state: III 8 Another example: Photon Polarization States
Page 8: P3316 spring2009 lecture25 - Cornell University€¦ · 25/03/2009  · Lecture 25: 03/25/09. III 6 Dirac Notation : Photon state: III 8 Another example: Photon Polarization States

Suppose a single photon is send through an x-y analyzer, and ends up in the x-channel.

Does that mean that the original photon was polarized in the x-direction?

A. yes

B. no

x-y analyzer

y

x

Page 9: P3316 spring2009 lecture25 - Cornell University€¦ · 25/03/2009  · Lecture 25: 03/25/09. III 6 Dirac Notation : Photon state: III 8 Another example: Photon Polarization States
Page 10: P3316 spring2009 lecture25 - Cornell University€¦ · 25/03/2009  · Lecture 25: 03/25/09. III 6 Dirac Notation : Photon state: III 8 Another example: Photon Polarization States
Page 11: P3316 spring2009 lecture25 - Cornell University€¦ · 25/03/2009  · Lecture 25: 03/25/09. III 6 Dirac Notation : Photon state: III 8 Another example: Photon Polarization States
Page 12: P3316 spring2009 lecture25 - Cornell University€¦ · 25/03/2009  · Lecture 25: 03/25/09. III 6 Dirac Notation : Photon state: III 8 Another example: Photon Polarization States
Page 13: P3316 spring2009 lecture25 - Cornell University€¦ · 25/03/2009  · Lecture 25: 03/25/09. III 6 Dirac Notation : Photon state: III 8 Another example: Photon Polarization States

x-y analyzer

'xx’-y‘ analyzer

detector x’

y

xy’

What is the probability that one of the initial photons in linear polarization state reaches the detector?'x

x

yx’y’

A. 0

B. cos(ΘΘΘΘ)2

C. cos(ΘΘΘΘ)4

D. cos(ΘΘΘΘ)2 sin(ΘΘΘΘ)2

E. 1

ΘΘΘΘ