Third Readings and Problems.
Reading:
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For Monday, February 7, read Chapter 4 up to “Compatible and Incompatible Variables” on p. 129. |
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For Thursday, February 10, finish reading Chapter 4 in Shankar. |
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For Monday, February 14, read Sections 5.1 - 5.3 in Shankar. |
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For Thursday, February 17, finish reading Chapter 5 in Shankar. |
Homework Problems:
[41] Exercise 2.8.4, p. 101, Shankar.
[42] Exercise 4.2.1, p. 129, Shankar.
[43] Exercise 4.2.2, p. 139, Shankar.
[44] Exercise 4.2.3, p. 139, Shankar.
[45] Exercise 5.1.1, p. 153, Shankar.
[46] Exercise 5.2.1, p. 163, Shankar.
[47] Exercise 5.2.2, p. 163, Shankar.
[48] Exercise 5.2.4, p. 164, Shankar.
[49] Exercise 5.2.6, p. 164, Shankar.
[50] Exercise 5.3.1, p. 166, Shankar.
[51] At a given instant in time, a wavefunction in position space has the form:
Here, C is a constant and a is a positive, real constant. |
Choose C so that the wavefunction is normalized. |
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Calculate <x> for this wavefunction. |
[52]
The action of the operators A and B on a wavefunction in position space, Y(x), is defined as follows:
Calculate the commutator:[53] Exercise 5.3.4, p. 167, Shankar.
[54] Exercise 5.4.2, p. 175, Shankar.
[55] Exercise 5.4.3, p. 175, Shankar.
[56] Exercise 7.3.2, p. 196, Shankar.
[57] Exercise 7.3.3, p. 196, Shankar.
[58] Exercise 7.3.4, p. 196, Shankar.
[59] Exercise 7.3.5, p. 196, Shankar.
[60] Exercise 7.3.6, p. 197, Shankar.