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5. (13 points) An electron is confined in a finite one-dimensional potential energy well. The width of well(a) is 2 nm, and the height of the potential energy barrier 0.5 eV. (1 eV= 1.6x10?? J). There are three energy levels in the well: E?= 0.057 eV, E?= 0.22 eV, and E?= 0.45 eV. (1) Find the electron momentum and wavelength in the ground state at energy= E?. (5 points) (2) Find the lowest excitation energy of electron, and the corresponding wavelength of irradiation light. (4 points) (3) Then consider the electron in the finite three-dimensional potential well in the form of a cube with a length= 2 nm, with the barrier height= 0.5 eV in three dimensions. Find the lowest energy level and lowest excitation energy in the three-dimensional well. (4 points) 

          5. (13 points) An electron is confined in a finite one-dimensional potential energy well. The width of well(a) is 2 nm, and the height of the potential energy barrier 0.5 eV. (1 eV= 1.6x10?? J). There are three energy levels in the well: E?= 0.057 eV, E?= 0.22 eV, and E?= 0.45 eV.
(1) Find the electron momentum and wavelength in the ground state at energy= E?. (5 points)
(2) Find the lowest excitation energy of electron, and the corresponding wavelength of irradiation light. (4 points)
(3) Then consider the electron in the finite three-dimensional potential well in the form of a cube with a length= 2 nm, with the barrier height= 0.5 eV in three dimensions. Find the lowest energy level and lowest excitation energy in the three-dimensional well. (4 points)
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5. (13 points) An electron is confined in a finite one-dimensional potential energy well. The width of well(a) is 2 nm, and the height of the potential energy barrier 0.5 eV. (1 eV= 1.6x10?? J). There are three energy levels in the well: E?= 0.057 eV, E?= 0.22 eV, and E?= 0.45 eV. (1) Find the electron momentum and wavelength in the ground state at energy= E?. (5 points) (2) Find the lowest excitation energy of electron, and the corresponding wavelength of irradiation light. (4 points) (3) Then consider the electron in the finite three-dimensional potential well in the form of a cube with a length= 2 nm, with the barrier height= 0.5 eV in three dimensions. Find the lowest energy level and lowest excitation energy in the three-dimensional well. (4 points)

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An electron is confined in a finite one-dimensional potential energy well. The width of the well (a) is 2 nm and the height of the potential energy barrier is 0.5 eV (1 eV = 1.6x10^-19 J). There are three energy levels in the well: E1 = 0.057 eV, E2 = 0.22 eV, and E3 = 0.45 eV. (1) Find the electron momentum and wavelength in the ground state at energy E1. (2) Find the lowest excitation energy of the electron and the corresponding wavelength of irradiation light. (3) Then consider the electron in a finite three-dimensional potential well in the form of a cube with a length of 2 nm and a barrier height of 0.5 eV in three dimensions. Find the lowest energy level and lowest excitation energy in the three-dimensional well.
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00:01 Now according to the energy of electron formula, e of nx, ny, equals h squared over 2ml square of nx squared plus ny square over 4...
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