Manfra14-2014.ppt - CHAPTER 5 The Schrodinger Eqn 5.1 5.2 5.3 5.4 5.5 The Schr\u00f6dinger Wave Equation Expectation Values Infinite Square-Well Potential

Manfra14-2014.ppt - CHAPTER 5 The Schrodinger Eqn 5.1 5.2...

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5.1 The Schrödinger Wave Equation 5.2 Expectation Values 5.3 Infinite Square-Well Potential 5.4 Finite Square-Well Potential 5.5 Three-Dimensional Infinite- Potential Well 5.6 Simple Harmonic Oscillator 5.7 Barriers and Tunneling CHAPTER 5 The Schrodinger Eqn. The Schrodinger Eqn. Erwin Schrödinger (1887-1961) Homework due next Wednesday Oct. 1 st Read Chapters 4 and 5 of Kane Chapter 4: 2, 3, 5, 13, 20 Chapter 5: 3, 4, 5, 7, 8 Homework due next Wednesday Oct. 1 st Read Chapters 4 and 5 of Kane Chapter 4: 2, 3, 5, 13, 20 Chapter 5: 3, 4, 5, 7, 8
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Finite Square-Well Potential The finite square-well potential is: Realizing that the wave function must be zero at x = ±∞ . The solution outside the finite well in regions I and III , where E < V 0 , is: Assume: E < V 0 0 0 0 Region I ( ) 0 0 Region II Region III V x V x x L V x L I III Region I, 0 ( ) Region III, ( ) x x x x Ae x L x Be
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Inside the square well, where the potential V is zero, the solution is: Finite Square-Well Solution (continued) II ( ) sin cos Region II, 0 x C kx D kx x L I II II III 0 x x L at
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