To reduce the energy-time uncertainty principle reduces to Griffith’s uncertainty principle when the variable is x .

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Answer 1

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Chapter 3.5, Problem 3.22P

To determine

To reduce the energy-time uncertainty principle reduces to Griffith’s uncertainty principle when the variable is x.

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Problem 2.14 In the ground state of the harmonic oscillator, what is the probability (correct to three significant digits) of finding the particle outside the classically allowed region? Hint: Classically, the energy of an oscillator is E = (1/2) ka² = (1/2) mo²a², where a is the amplitude. So the “classically allowed region" for an oscillator of energy E extends from –/2E/mw² to +/2E/mo². Look in a math table under “Normal Distribution" or "Error Function" for the numerical value of the integral, or evaluate it by computer.

Problem 2.3 Show that there is no acceptable solution to the (time-independent) Schrödinger equation (for the infinite square well) with E = 0 or E < 0. (This is a special case of the general theorem in Problem 2.2, but this time do it by explicitly solving the Schrödinger equation and showing that you cannot meet the boundary conditions.)

Problem 3.10 Is the ground state of the infinite square well an eigenfunction of momentum? If so, what is its momentum? If not, why not?

Answer 2

Question

Chapter 3.5, Problem 3.22P

To determine

To reduce the energy-time uncertainty principle reduces to Griffith’s uncertainty principle when the variable is x.

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Answer 3

Question

Chapter 3.5, Problem 3.22P

To determine

To reduce the energy-time uncertainty principle reduces to Griffith’s uncertainty principle when the variable is x.

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Answer 4

Question

Chapter 3.5, Problem 3.22P

To determine

To reduce the energy-time uncertainty principle reduces to Griffith’s uncertainty principle when the variable is x.

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Answer 5

Chapter 3.5, Problem 3.22P

To determine

To reduce the energy-time uncertainty principle reduces to Griffith’s uncertainty principle when the variable is x.

Answer 6

Chapter 3.5, Problem 3.22P

To determine

To reduce the energy-time uncertainty principle reduces to Griffith’s uncertainty principle when the variable is x.

Answer 7

Chapter 3.5, Problem 3.22P

To determine

To reduce the energy-time uncertainty principle reduces to Griffith’s uncertainty principle when the variable is x.

Answer 8

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Answer 9

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Answer 10

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Answer 11

Ch. 3.1 - Prob. 3.1P Ch. 3.1 - Prob. 3.2P Ch. 3.2 - Prob. 3.3P Ch. 3.2 - Prob. 3.4P Ch. 3.2 - Prob. 3.5P Ch. 3.2 - Prob. 3.6P Ch. 3.3 - Prob. 3.7P Ch. 3.3 - Prob. 3.8P Ch. 3.3 - Prob. 3.9P Ch. 3.3 - Prob. 3.10P

To reduce the energy-time uncertainty principle reduces to Griffith’s uncertainty principle when the variable is x .

Solution Summary: The author explains how to reduce the energy-time uncertainty principle by reducing to Griffith's.

To reduce the energy-time uncertainty principle reduces to Griffith’s uncertainty principle when the variable is x.

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