Classes_winter09_113 - 10nm in an unknown state what are the possible observed values(Hint Postulate 3[2 Expectation value Denote the

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Preview #08 (Chem113A W’09, due Fri. 1/23/09 at 12:05pm in class) Assigned reading: Engel 3.3—3.5 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] Result of individual measurement. When one measures the energy of an electron in a 1D box of length
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Unformatted text preview: 10nm in an unknown state, what are the possible observed values? (Hint: Postulate 3) [2] Expectation value. Denote the eigenfunctions of the Hamiltonian operator H for an electron in a 1D box of length 10nm by φ n (x) (n=1,2,3…). Now this electron is in a superposition of states, described by the wavefunction Ψ(x) = sqrt(3)/2* φ 1 (x) + ½* φ 2 (x). If one measures the energy of this electron, (i) what are the possible outcomes (numerical values) and corresponding probabilities (numerical values)? (ii) what is the expectation value (numerical value)? (Hint: Postulate 4)...
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This note was uploaded on 03/29/2009 for the course CHEM 113A taught by Professor Lin during the Winter '07 term at UCLA.

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