Quantum Mechanics Problems and Solutions
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Hello all, Been keeping busy in the physics dept. at UC Irvine as a grad student... for anyone interested in Quantum Mechanics, here is a link to the problems and solutions to all the homework in our graduate Quantum Mechanics course, the second course in a three-part series. http://www.ags.uci.edu/~bchart/notes/QMProbSolts.pdf[^] Let me know if there are any corrections or mistakes! :) If you need help with the math or any math or physics terms, search for them using: 'PhysicsWorld' or 'MathWorld' (if one doesn't work, then try the other! at PhysicsWorld[^ or MathWorld[^] or use Google. Enjoy! Sincerely Yours, Brian Hart Department of Physics and Astronomy University of California, Irvine
After your perturbation in eq. 2.8, you go on to compute an expectation value for θ on page 10. After you substitute terms, you state the equation is exactly equal to itself. :~ Did you intend to list the same equation twice? - Nitron
"Those that say a task is impossible shouldn't interrupt the ones who are doing it." - Chinese Proverb
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Hello all, Been keeping busy in the physics dept. at UC Irvine as a grad student... for anyone interested in Quantum Mechanics, here is a link to the problems and solutions to all the homework in our graduate Quantum Mechanics course, the second course in a three-part series. http://www.ags.uci.edu/~bchart/notes/QMProbSolts.pdf[^] Let me know if there are any corrections or mistakes! :) If you need help with the math or any math or physics terms, search for them using: 'PhysicsWorld' or 'MathWorld' (if one doesn't work, then try the other! at PhysicsWorld[^ or MathWorld[^] or use Google. Enjoy! Sincerely Yours, Brian Hart Department of Physics and Astronomy University of California, Irvine
sorry, 1 more thing... Before equation 2.25, (page 12) instead of:
There results
Try:
Their results:
(not to be picky ;P ) Doh! (1.11, p.16) too! - Nitron
"Those that say a task is impossible shouldn't interrupt the ones who are doing it." - Chinese Proverb
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Hello all, Been keeping busy in the physics dept. at UC Irvine as a grad student... for anyone interested in Quantum Mechanics, here is a link to the problems and solutions to all the homework in our graduate Quantum Mechanics course, the second course in a three-part series. http://www.ags.uci.edu/~bchart/notes/QMProbSolts.pdf[^] Let me know if there are any corrections or mistakes! :) If you need help with the math or any math or physics terms, search for them using: 'PhysicsWorld' or 'MathWorld' (if one doesn't work, then try the other! at PhysicsWorld[^ or MathWorld[^] or use Google. Enjoy! Sincerely Yours, Brian Hart Department of Physics and Astronomy University of California, Irvine
Let me know if there are any corrections or mistakes! :laugh::laugh::laugh::laugh::laugh: What a comedian!!! Marc Help! I'm an AI running around in someone's f*cked up universe simulator.
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After your perturbation in eq. 2.8, you go on to compute an expectation value for θ on page 10. After you substitute terms, you state the equation is exactly equal to itself. :~ Did you intend to list the same equation twice? - Nitron
"Those that say a task is impossible shouldn't interrupt the ones who are doing it." - Chinese Proverb
Nitron wrote: After your perturbation in eq. 2.8, you go on to compute an expectation value for θ on page 10. After you substitute terms, you state the equation is exactly equal to itself. Notice the final line is the first-order correction term to the expectation value, not the expectation value itself...that was the original claim. What I did is take the final line of the computation of the expactation value and then break it into a sum of two terms, + < |Integral| > and it is the second term which is the deisired result. This leads to the original claim. Q.E.D. Nitron wrote: Did you intend to list the same equation twice? Typically once I show the claim I like to remind the reader what the original claim was. Sincerely Yours, Brian Hart Department of Physics and Astronomy University of California, Irvine
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Nitron wrote: After your perturbation in eq. 2.8, you go on to compute an expectation value for θ on page 10. After you substitute terms, you state the equation is exactly equal to itself. Notice the final line is the first-order correction term to the expectation value, not the expectation value itself...that was the original claim. What I did is take the final line of the computation of the expactation value and then break it into a sum of two terms, + < |Integral| > and it is the second term which is the deisired result. This leads to the original claim. Q.E.D. Nitron wrote: Did you intend to list the same equation twice? Typically once I show the claim I like to remind the reader what the original claim was. Sincerely Yours, Brian Hart Department of Physics and Astronomy University of California, Irvine
mega math nerd message there... :) Sincerely Yours, Brian Hart Department of Physics and Astronomy University of California, Irvine
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Nitron wrote: After your perturbation in eq. 2.8, you go on to compute an expectation value for θ on page 10. After you substitute terms, you state the equation is exactly equal to itself. Notice the final line is the first-order correction term to the expectation value, not the expectation value itself...that was the original claim. What I did is take the final line of the computation of the expactation value and then break it into a sum of two terms, + < |Integral| > and it is the second term which is the deisired result. This leads to the original claim. Q.E.D. Nitron wrote: Did you intend to list the same equation twice? Typically once I show the claim I like to remind the reader what the original claim was. Sincerely Yours, Brian Hart Department of Physics and Astronomy University of California, Irvine
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Gotcha :) Thanks Sincerely Yours, Brian Hart Department of Physics and Astronomy University of California, Irvine
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Gotcha :) Thanks Sincerely Yours, Brian Hart Department of Physics and Astronomy University of California, Irvine
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mega math nerd message there... :) Sincerely Yours, Brian Hart Department of Physics and Astronomy University of California, Irvine
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Hello all, Been keeping busy in the physics dept. at UC Irvine as a grad student... for anyone interested in Quantum Mechanics, here is a link to the problems and solutions to all the homework in our graduate Quantum Mechanics course, the second course in a three-part series. http://www.ags.uci.edu/~bchart/notes/QMProbSolts.pdf[^] Let me know if there are any corrections or mistakes! :) If you need help with the math or any math or physics terms, search for them using: 'PhysicsWorld' or 'MathWorld' (if one doesn't work, then try the other! at PhysicsWorld[^ or MathWorld[^] or use Google. Enjoy! Sincerely Yours, Brian Hart Department of Physics and Astronomy University of California, Irvine
Hamiltonian hmmm let me see, there is George the III ....... :-D
