A particle of mass m is fixed at one end of a rigid rod of negligible...
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A particle of mass m is fixed at one end of a rigid rod of negligible mass and length R. The other end of the rod rotates in the xy plane about a bearing located at the origin, whose axis is in the z-direction. (a) Write the system's total energy in terms of its angular momentum L. (b) Write down the time-independent Schrödinger equation of the system. Hint: In spherical coordinates, only o varies. (c) Solve for the possible energy levels of the system, in terms of m and the moment of inertia I = mR?. (d) Explain why there is no zero-point energy. %3D A particle of mass m is fixed at one end of a rigid rod of negligible mass and length R. The other end of the rod rotates in the xy plane about a bearing located at the origin, whose axis is in the z-direction. (a) Write the system's total energy in terms of its angular momentum L. (b) Write down the time-independent Schrödinger equation of the system. Hint: In spherical coordinates, only o varies. (c) Solve for the possible energy levels of the system, in terms of m and the moment of inertia I = mR?. (d) Explain why there is no zero-point energy. %3D
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Related Book For
Vector Mechanics for Engineers Statics and Dynamics
ISBN: 978-0073212227
8th Edition
Authors: Ferdinand Beer, E. Russell Johnston, Jr., Elliot Eisenberg, William Clausen, David Mazurek, Phillip Cornwell
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