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Lecture 11: 02/11/09

P3316 spring2009 lecture11 - Cornell University€¦ · 11/02/2009  · Lecture 11: 02/11/09. Doesn’t work! II 1 Schrödinger's Theory of Quantum Mechanics II 1,2 Constrains for

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Page 1: P3316 spring2009 lecture11 - Cornell University€¦ · 11/02/2009  · Lecture 11: 02/11/09. Doesn’t work! II 1 Schrödinger's Theory of Quantum Mechanics II 1,2 Constrains for

Lecture 11: 02/11/09

Page 2: P3316 spring2009 lecture11 - Cornell University€¦ · 11/02/2009  · Lecture 11: 02/11/09. Doesn’t work! II 1 Schrödinger's Theory of Quantum Mechanics II 1,2 Constrains for

Doesn’t work!

II1 Schrödinger's Theory of Quantum Mechanics

II1,2 Constrains for the Particle Wave Equation:

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

Page 3: P3316 spring2009 lecture11 - Cornell University€¦ · 11/02/2009  · Lecture 11: 02/11/09. Doesn’t work! II 1 Schrödinger's Theory of Quantum Mechanics II 1,2 Constrains for

Why is it so important for the particle wave equation (the Schrödinger Equation) to be linear

in the wave function ?

A. To get the right units

B. To be consistent with the classical energy relati on

of a non-relativistic particle

C. To be able to explain interference of particle wa ves

Page 4: P3316 spring2009 lecture11 - Cornell University€¦ · 11/02/2009  · Lecture 11: 02/11/09. Doesn’t work! II 1 Schrödinger's Theory of Quantum Mechanics II 1,2 Constrains for
Page 5: P3316 spring2009 lecture11 - Cornell University€¦ · 11/02/2009  · Lecture 11: 02/11/09. Doesn’t work! II 1 Schrödinger's Theory of Quantum Mechanics II 1,2 Constrains for
Page 6: P3316 spring2009 lecture11 - Cornell University€¦ · 11/02/2009  · Lecture 11: 02/11/09. Doesn’t work! II 1 Schrödinger's Theory of Quantum Mechanics II 1,2 Constrains for
Page 7: P3316 spring2009 lecture11 - Cornell University€¦ · 11/02/2009  · Lecture 11: 02/11/09. Doesn’t work! II 1 Schrödinger's Theory of Quantum Mechanics II 1,2 Constrains for
Page 8: P3316 spring2009 lecture11 - Cornell University€¦ · 11/02/2009  · Lecture 11: 02/11/09. Doesn’t work! II 1 Schrödinger's Theory of Quantum Mechanics II 1,2 Constrains for
Page 9: P3316 spring2009 lecture11 - Cornell University€¦ · 11/02/2009  · Lecture 11: 02/11/09. Doesn’t work! II 1 Schrödinger's Theory of Quantum Mechanics II 1,2 Constrains for
Page 10: P3316 spring2009 lecture11 - Cornell University€¦ · 11/02/2009  · Lecture 11: 02/11/09. Doesn’t work! II 1 Schrödinger's Theory of Quantum Mechanics II 1,2 Constrains for

The wave function is a complex function. This means that …

A. The wave function can not directly represent

something that can be measured, so it itself has

no physical existence

B. This theory must still be wrong

C. Something else

Page 11: P3316 spring2009 lecture11 - Cornell University€¦ · 11/02/2009  · Lecture 11: 02/11/09. Doesn’t work! II 1 Schrödinger's Theory of Quantum Mechanics II 1,2 Constrains for

II1,4 Physical Significance of the Wave Function ΨΨΨΨ(x,t) :

Page 12: P3316 spring2009 lecture11 - Cornell University€¦ · 11/02/2009  · Lecture 11: 02/11/09. Doesn’t work! II 1 Schrödinger's Theory of Quantum Mechanics II 1,2 Constrains for