hw1 444 - PHYS 507 Homework I (Fall '06) Assigned: October...

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PHYS 507 Homework I (Fall ’06) Assigned: October 20, 2006, Friday. Due: November 1, 2006, Wednesday, at 5:00 pm. Notes: (i) You can discuss and solve the problems with your friends. However, you should write your own solution on your homework. Directly copying other people’s solutions kills millions of brain cells and is considered harmful to your health. (ii) The solutions will be posted to the web page http://www.physics.metu.edu.tr/˜sturgut/p507/. No late homeworks will be accepted after the solutions is posted. (iii) Excessive usage of papers is harmful to our trees. You do not need to provide every detail in presenting your solutions. 1. Suppose that {| 1 i , | 2 i} forms an orthonormal basis for a 2 dimensional Hilbert space. An operator A on that space has the following action on base kets, A | 1 i = i | 1 i + (2 + 3 i ) | 2 i , A | 2 i = (7 - 5 i ) | 1 i . (a) What are h 1 | A and h 2 | A ? (b)
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hw1 444 - PHYS 507 Homework I (Fall '06) Assigned: October...

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