classes_winter09_113AID28_P_06_113A_W09

classes_winter09_113AID28_P_06_113A_W09 - Interpretation...

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Preview #06 (Chem113A W’09, due Fri. 1/16/09 at 12:05pm in class) Assigned reading: Engel 2.6—2.8 Attendance record : I am [ ] present at or [ ] absent from this class meeting (see date and time above). Name: ________________________ Forming study groups is permissible, but you must construct your solutions independently. By writing down my name, I confirm that I strictly obey the academic ethic code when doing this preview and my statement on attendance (above) is correct. Please write down the names of everyone who you worked with on this preview in the space above. [1] Wavefunction normalization. To satisfy the statistical interpretation of the quantum wavefunction (Born
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Unformatted text preview: Interpretation), quantum wavefunction needs to be normalized. Example Problem 2.8 (scanned below for your convenience) is a simple exercise. Please change “exp(-r)” to “exp(-3r)” . [2] Fourier series. The eigenfunctions of a Hermitian operator form a complete basis. For example, the eigenfunctions of the “particle in a box” Hamiltonian operator form a complete basis. This special basis set is also called “Fourier series”. Problems P2.27 (scanned below for your convenience). Please change “f(x)=x” to “f(x)=x 2 ” and “the first five coefficients” to “the first two coefficients” to lessen your workload (Hint: Engel 2.7)...
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