Quantum Wave Mechanics and Particle Behavior
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Explore the behavior of particles in quantum wave mechanics, including their speeds, positions, and quantum numbers. Understand the concept of forbidden regions and the phenomenon of tunneling.
Quantum Wave Mechanics and Particle Behavior
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Presentation Transcript
Three de Broglie waves are shown for particles of equal mass. Rank in order, from largest to smallest, the speeds of particles a, b, and c. 1. va = vb > vc 2. vb > va > vc 3. vb > va = vc 4. vc > va > vb 5. vc > va = vb
Three de Broglie waves are shown for particles of equal mass. Rank in order, from largest to smallest, the speeds of particles a, b, and c. 1. va = vb > vc 2. vb > va > vc 3. vb > va = vc 4. vc > va > vb 5. vc > va = vb
A particle in a rigid box in the n = 2 stationary state is most likely to be found 1. One-quarter of the way from either end. 2. One-third of the way from either end. 3. In the center of the box. 4. It is equally likely to be found at any point in the box.
A particle in a rigid box in the n = 2 stationary state is most likely to be found 1. One-quarter of the way from either end. 2. One-third of the way from either end. 3. In the center of the box. 4. It is equally likely to be found at any point in the box.
This is a wave function for a particle in a finite quantum well. What is the particle’s quantum number? 1. n = 1 2. n = 2 3. n = 3 4. n = 4 5. n = 5
This is a wave function for a particle in a finite quantum well. What is the particle’s quantum number? 1. n = 1 2. n = 2 3. n = 3 4. n = 4 5. n = 5
For which potential energy is this an appropriate n = 4 wave function? (1) (2) (3) (4)
For which potential energy is this an appropriate n = 4 wave function? (1) (2) (3) (4)
Which probability density represents a quantum harmonic oscillator with 1. a 2. b 3. c 4. d
Which probability density represents a quantum harmonic oscillator with 1. a 2. b 3. c 4. d
A particle with energy E approaches an energy barrier with height U0 > E. If U0 is slowly decreased, the probability that the particle reflects from the barrier 1. Decreases. 2. Increases. 3. Does not change.
A particle with energy E approaches an energy barrier with height U0 > E. If U0 is slowly decreased, the probability that the particle reflects from the barrier 1. Decreases. 2. Increases. 3. Does not change.
Chapter 40 Reading Quiz
A quantum particle can pass through a region of space that would be forbidden to a classical particle. What is the name of this process? 1. Teleportation 2. Vacuum decay 3. Lasing 4. Trapping 5. Tunneling
A quantum particle can pass through a region of space that would be forbidden to a classical particle. What is the name of this process? 1. Teleportation 2. Vacuum decay 3. Lasing 4. Trapping 5. Tunneling
A particle in the ground state of a potential energy well • 1. is at rest. • 2. has a zero-point motion. • 3. is equally probable to be found at any point inside the well. • 4. has a wave function that is zero at all points. • 5. has zero energy.
A particle in the ground state of a potential energy well • 1. is at rest. • 2. has a zero-point motion. • 3. is equally probable to be found at any point inside the well. • 4. has a wave function that is zero at all points. • 5. has zero energy.
Which of these was not analyzed in this chapter? 1. A particle in a capacitor 2. A particle in a finite potential well 3. A neutron in a nucleus 4. An electron in an atom 5. An electron in a quantum-well device
Which of these was not analyzed in this chapter? 1. A particle in a capacitor 2. A particle in a finite potential well 3. A neutron in a nucleus 4. An electron in an atom 5. An electron in a quantum-well device
