(20 marks total) Free particle in 1D (a) Obtain the wave function for a free quantum...
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(20 marks total) Free particle in 1D (a) Obtain the wave function for a free quantum mechanical particle moving along the +ve x-axis with constant momentum p = ħk. (12 marks) (b) What is the Hamiltonian for the particle? Show that the state obtained in part (a) has constant energy. What is the energy? (8 marks) Hint: Set up the appropriate eigenvalue equation and solve for the eigenstate. You may use the orthogonality of the eigenfunctions to determine the integra- tion constant. (20 marks total) Free particle in 1D (a) Obtain the wave function for a free quantum mechanical particle moving along the +ve x-axis with constant momentum p = ħk. (12 marks) (b) What is the Hamiltonian for the particle? Show that the state obtained in part (a) has constant energy. What is the energy? (8 marks) Hint: Set up the appropriate eigenvalue equation and solve for the eigenstate. You may use the orthogonality of the eigenfunctions to determine the integra- tion constant.
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Related Book For
University Physics with Modern Physics
ISBN: 978-0133977981
14th edition
Authors: Hugh D. Young, Roger A. Freedman
Posted Date:
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