Modern Physics
Modern Physics
3rd Edition
ISBN: 9781111794378
Author: Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher: Cengage Learning
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Chapter 9, Problem 16P
To determine

To show that given wave function is symmetric is nature and to check whether two bosons can occupy same state.

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6.2. Solve the three-dimensional harmonic oscillator for which 1 V(r) = -— mw² (x² + y²² +2²) 2 by separation of variables in Cartesian coordinates. Assume that the one-dimensional oscillator has eigenfunctions (x) with corresponding energy eigenvalues En = (n + 1/2)hw. What is the degeneracy of the first excited state of the oscillator?
TRQ. 3.1 Solve completely the following Quantum problem. Need full detailed answer, equations and if possible, theory/ literature. Question: A particle of spin 1 and a particle of spin 1/2 are in a configuration for which the total spin is equal to 1/2. If one were to measure the z-component of the spin of the particle with spin = 1, what values might one get and what are the probabilities associated with those values? Use Clebsch-Gordan table. Write the total spin state |s,ms> as linear combinations of |s1, ms1> |s2, ms2> states.
The normalised wavefunction for an electron in an infinite 1D potential well of length 80 pm can be written:ψ=(0.587 ψ2)+(0.277 i ψ7)+(g ψ6). As the individual wavefunctions are orthonormal, use your knowledge to work out |g|, and hence find the expectation value for the energy of the particle, in eV.
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