intro to quantum mechanics (phys 304) instructor: prof. marcel franz textbook: “introduction to...

Intro to Quantum Mechanics(phys 304)

•Instructor: Prof. Marcel Franz•Textbook: “Introduction to QM” by D.J. Griffiths (second edition)•Lectures: Tu & Th, 9:30-11:15•Course webpage: www.physics.ubc.ca/~franz/phy304.html

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Particle-wave duality

What is this?

Young’s “double-slit” experiment

Interference: Light consists of WAWES

If light consisted of particles…

Light interference

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r2 − r1 ≈ d sinθPath difference:

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d sinθ = mλ , m = 0,±1,±2,...

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d sinθ = (m + 12)λ , m = 0,±1,±2,...

Intensity maxima:

Intensity minima:

Now perform the same experiment with electrons

Experiment by A. Tonomura of Hitachi Corp., June 1999

Electrons: particles or waves?

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http://www.hqrd.hitachi.co.jp/em/doubleslit.cfm

What can we conclude about the electron from

Tonomura experiment?

Electrons appear to have both particle-like and wave-like properties!