4. A particle of mass m is confined to move in an infinite two-dimensional potential well of side L. (a) Solve the corresponding two-dimensional TISE by the method of separation of variables and determine the wave functions and the corresponding energy levels. (b) Find the energies of the ground state and the first excited state. Are these states degenerate?
4. A particle of mass m is confined to move in an infinite two-dimensional potential well of side L. (a) Solve the corresponding two-dimensional TISE by the method of separation of variables and determine the wave functions and the corresponding energy levels. (b) Find the energies of the ground state and the first excited state. Are these states degenerate?
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Question 4: Quantum Mechanics
Transcribed Image Text:2. A particle is in the second excited state of an infinite cubic potential well of side a.
Determine the wave functions and the corresponding energy for this state. What is
the degeneracy of this level?
3. An electron moves in an infinite cubic potential well of side a = 0.5 nm. What energy
does the electron have in (a) the ground state and (b) the first excited state?
4. A particle of mass m is confined to move in an infinite two-dimensional potential
well of side L. (a) Solve the corresponding two-dimensional TISE by the method
of separation of variables and determine the wave functions and the corresponding
energy levels. (b) Find the energies of the ground state and the first excited state. Are
these states degenerate?
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