One of the eigenfunctions of the ID Harmonic Oscillator for a pair of particles with reduced mass, u, and connected by a spring with constant k has the mathematical form: Y(x) = N (x² – 3x) e¯ar What is the energy of the quantum state corresponding to this wavefunction. Give your answer only using the symbols u and k and any other fundamental constants, which also includes decimal numbers. Explain briefly. List the values of x for two (2) nodes for this wavefunction, other than +o.

One of the eigenfunctions of the ID Harmonic Oscillator for a pair of particles with reduced mass, u, and connected by a spring with constant k has the mathematical form: Y(x) = N (x² – 3x) e¯ar What is the energy of the quantum state corresponding to this wavefunction. Give your answer only using the symbols u and k and any other fundamental constants, which also includes decimal numbers. Explain briefly. List the values of x for two (2) nodes for this wavefunction, other than +o.

Modern Physics

3rd Edition

ISBN:9781111794378

Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Chapter6: Quantum Mechanics In One Dimension

Section: Chapter Questions

Problem 29P

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