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    Particle in a Box for State Particle

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    Consider a particle of mass m in a box of length a. Assume the state of the particle at time t=0 is:

    Where are the particle in a box stationary states with energy

    a. What is the probability a measurement of the energy will result in
    b. What is the expectation (average) value for the energy (<E>) in the state ?
    c. What is the probability a single measurement will yield the value E=<E>?
    d. Write down an expression for the time-dependent wavefunction for this state, , in terms of the mass of the particle and the length of the box?

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    The eigenfunctions of the one dimensional particle in a box are orthonormal:
    The associated energies are:
    To measure certain energy the system must be in ...

    Solution Summary

    The expert examines the concepts of particle in a box for state particles.