A particle of mass, m, is constrained to oscillate in one dimension over the interval...

 

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A particle of mass, m, is constrained to oscillate in one dimension over the ー元 interval from 2b π The particle is described by the wavefunction, 2b 0(x) = N cos(bx) , where b is a constant describing the nature of the particle's motion, and N is a normalization constant. a) Determine the value of N by normalizing (x) over the appropriate interval. N = b) Determine the expectation, or average value of x for this particle. (x=x ) 3c) Determine the uncertainty in the expectation value of x. A particle of mass, m, is constrained to oscillate in one dimension over the ー元 interval from 2b π The particle is described by the wavefunction, 2b 0(x) = N cos(bx) , where b is a constant describing the nature of the particle's motion, and N is a normalization constant. a) Determine the value of N by normalizing (x) over the appropriate interval. N = b) Determine the expectation, or average value of x for this particle. (x=x ) 3c) Determine the uncertainty in the expectation value of x.