Serway_PSE_quick_ch41

Serway_PSE_quick_ch41 - Physics for Scientists and...

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Physics for Scientists and Engineers, 6e Chapter 41 - Quantum Mechanics
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Consider the wave function for the free particle, Equation 41.3. At what value of x is the particle most likely to be found at a given time? 1 2 3 4 25% 25% 25% 25% 1 2 3 4 5 1. at x = 0 2. at small nonzero values of x 3. at large values of x 4. anywhere along the x axis
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The probability density for this wave function is | ψ |2 = ψ * ψ = ( Ae–ikx )( Aeikx ) = A 2, which is independent of x . Consequently, the particle is equally likely to be found at any value of x . This is consistent with the uncertainty principle—if the wavelength is known precisely (based on a specific value of k in Equation 41.3), we have no knowledge of the position of the particle.
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L . Suddenly, the length of the box is increased to 2 L . What happens to the energy levels shown in the figure? 1 2 3 33% 33% 33% 1 2 3 4 5 1. Nothing—they are unaffected. 2.
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This note was uploaded on 01/19/2010 for the course PHYS 200 taught by Professor Davies during the Spring '08 term at Roger Williams.

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Serway_PSE_quick_ch41 - Physics for Scientists and...

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