The Particle in a Box - (117) Extending the problem to...

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The Particle in a Box Consider a particle constrained to move in a single dimension, under the influence of a potential which is zero for and infinite elsewhere. Since the wavefunction is not allowed to become infinite, it must have a value of zero where is infinite, so is nonzero only within . The Schrödinger equation is thus (115) It is easy to show that the eigenvectors and eigenvalues of this problem are (116)
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Unformatted text preview: (117) Extending the problem to three dimensions is rather straightforward; see McQuarrie [ 1 ], section 6.1. Some Analytically Soluble Problems Quantum chemists are generally concerned with solving the time-independent Schrödinger equation ( 25 ). This equation can be solved analytically only in a few special cases. In this section we review the results of some of these analytically soluble problems....
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This note was uploaded on 11/22/2011 for the course CHEMISTRY CHM1025 taught by Professor Laurachoudry during the Fall '10 term at Broward College.

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