Erwin Schrödinger (1887 – 1961): Schrödinger equation, for ...liepe/webpage/docs/... · the...

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Erwin Schrödinger (1887 – 1961): Schrödinger equation, for which he received the Nobel Prize in 1933. In 1935, he proposed the Schrödinger's cat thought experiment. Lecture 10: 02/09/09

Transcript of Erwin Schrödinger (1887 – 1961): Schrödinger equation, for ...liepe/webpage/docs/... · the...

Page 1: Erwin Schrödinger (1887 – 1961): Schrödinger equation, for ...liepe/webpage/docs/... · the Schrödinger's cat thought experiment. Lecture 10: 02/09/09. I3,4 Group and Phase Velocity

Erwin Schrödinger (1887 – 1961): Schrödinger equation, for which he received the Nobel Prize in 1933. In 1935, he proposed the Schrödinger's cat thought experiment.

Lecture 10: 02/09/09

Page 2: Erwin Schrödinger (1887 – 1961): Schrödinger equation, for ...liepe/webpage/docs/... · the Schrödinger's cat thought experiment. Lecture 10: 02/09/09. I3,4 Group and Phase Velocity

I3,4 Group and Phase Velocity for Particle Waves:

I4 The “Old Quantum Theory”

I3,6 Evidence for de Broglie’s Particle Waves:

I3,5 λλλλ=h/p: Order of Magnitude Estimate

Page 3: Erwin Schrödinger (1887 – 1961): Schrödinger equation, for ...liepe/webpage/docs/... · the Schrödinger's cat thought experiment. Lecture 10: 02/09/09. I3,4 Group and Phase Velocity

I4 The “Old Quantum Theory”

I4,1 Key Ideas / Concepts / Postulates:

Page 4: Erwin Schrödinger (1887 – 1961): Schrödinger equation, for ...liepe/webpage/docs/... · the Schrödinger's cat thought experiment. Lecture 10: 02/09/09. I3,4 Group and Phase Velocity

Add wave amplitudes, and not probabilities / intens ities!

Page 5: Erwin Schrödinger (1887 – 1961): Schrödinger equation, for ...liepe/webpage/docs/... · the Schrödinger's cat thought experiment. Lecture 10: 02/09/09. I3,4 Group and Phase Velocity

I4,2 Philosophy of Quantum Theory:

Page 6: Erwin Schrödinger (1887 – 1961): Schrödinger equation, for ...liepe/webpage/docs/... · the Schrödinger's cat thought experiment. Lecture 10: 02/09/09. I3,4 Group and Phase Velocity

I4,3 “Critique” of the “Old Quantum Theory”:

“Old Quantum Theory:” New concepts, ideas; in many respects quite successful, but:

Page 7: Erwin Schrödinger (1887 – 1961): Schrödinger equation, for ...liepe/webpage/docs/... · the Schrödinger's cat thought experiment. Lecture 10: 02/09/09. I3,4 Group and Phase Velocity

II Introduction to Wave Mechanics

II1 Schrödinger's Theory of Quantum Mechanics

II1,1 Preliminary Remarks:

Page 8: Erwin Schrödinger (1887 – 1961): Schrödinger equation, for ...liepe/webpage/docs/... · the Schrödinger's cat thought experiment. Lecture 10: 02/09/09. I3,4 Group and Phase Velocity
Page 9: Erwin Schrödinger (1887 – 1961): Schrödinger equation, for ...liepe/webpage/docs/... · the Schrödinger's cat thought experiment. Lecture 10: 02/09/09. I3,4 Group and Phase Velocity

II1,2 Constrains for the Particle Wave Equation:

Page 10: Erwin Schrödinger (1887 – 1961): Schrödinger equation, for ...liepe/webpage/docs/... · the Schrödinger's cat thought experiment. Lecture 10: 02/09/09. I3,4 Group and Phase Velocity

II1,3 Plausibility Argument leading to Schrödinger's Equa tion:

Page 11: Erwin Schrödinger (1887 – 1961): Schrödinger equation, for ...liepe/webpage/docs/... · the Schrödinger's cat thought experiment. Lecture 10: 02/09/09. I3,4 Group and Phase Velocity
Page 12: Erwin Schrödinger (1887 – 1961): Schrödinger equation, for ...liepe/webpage/docs/... · the Schrödinger's cat thought experiment. Lecture 10: 02/09/09. I3,4 Group and Phase Velocity