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Problems in Quantum Mechanics
Problems in Quantum Mechanics

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Linear Equations - O6U E

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... no interactions with the rest of the universe. We know how to describe the motion using classical mechanics: for a given initial position and momentum, classical mechanics correctly predicts the future path, as confirmed by experiments with real (admittedly not perfect) systems. But from the Hamilto ...
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... (a) Express p in terms of q and t when 2p – q = 3(p – t). Same as ’98 just keep your eye on p. Solution 2p – q = 3p –3t, get all the p’s to the same side 3t-q = 3p – 2p = 3t – q = p. (Pray that there are lots of problems like this on the exam) (b) Solve 2 x 3  3x 2  5 x  6  0 , this means find t ...
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Quantum Theory 1 - Home Exercise 6

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... which strikingly turns out to be the exact Dirac solution were (the second term at the RHS of Eq.(31) neglected, and) the spin-orbit interaction not taken into account [1]. We can right away estimate that, in this case the magnitude of E R is larger than that of the corresponding Schrodinger eigenv ...
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... This time the y's were eliminated too but the constants were not. We get a false statement. This tells us the system of equations is inconsistent and there is not an x and y that make both equations true. This is Case 3, ...
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Schrödinger equation

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