A particle of mass m is confined in a cubic box with edge of length a. Find how many different wave functions have the energy 14(h?/8ma'). List these wave functions with proper labels, that is as ynxnvnz, where n, n, and n, are the quantum numbers. What is the ground state energy of the particle? Find the energy values of all the levels between the ground state and the excited state mentioned above. Draw a neat labelled diagram showing all these energy levels. [Note: If there are n wave functions corresponding to the same energy level, then the energy level is called n-fold degenerate].
A particle of mass m is confined in a cubic box with edge of length a. Find how many different wave functions have the energy 14(h?/8ma'). List these wave functions with proper labels, that is as ynxnvnz, where n, n, and n, are the quantum numbers. What is the ground state energy of the particle? Find the energy values of all the levels between the ground state and the excited state mentioned above. Draw a neat labelled diagram showing all these energy levels. [Note: If there are n wave functions corresponding to the same energy level, then the energy level is called n-fold degenerate].
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![A particle of mass m is confined in a cubic box with edge of length a. Find how many different
wave functions have the energy 14(h/8ma"). List these wave functions with proper labels, that is
as ynxnynz, where n, ny and n, are the quantum numbers. What is the ground state energy of the
particle? Find the energy values of all the levels between the ground state and the excited state
mentioned above. Draw a neat labelled diagram showing all these energy levels. [Note: If there are
n wave functions corresponding to the same energy level, then the energy level is called n-fold degenerate].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9397f33b-d5fc-4939-86c6-50211727ada5%2Fa59b723e-06ef-4213-9fb8-acd1f5813750%2Fmjr1w9o_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A particle of mass m is confined in a cubic box with edge of length a. Find how many different
wave functions have the energy 14(h/8ma"). List these wave functions with proper labels, that is
as ynxnynz, where n, ny and n, are the quantum numbers. What is the ground state energy of the
particle? Find the energy values of all the levels between the ground state and the excited state
mentioned above. Draw a neat labelled diagram showing all these energy levels. [Note: If there are
n wave functions corresponding to the same energy level, then the energy level is called n-fold degenerate].
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