Show that in a parabolic potential well, the spacing between the energy levels is constant. In...

Show that in a parabolic potential well, the spacing between the energy levels is constant. In semiconductors, parabolic potential wells are often produced by using narrow square potential wells where the well to barrier width ratio gradually changes. Use the virtual crystal approximation to design a GaAs/AlAs parabolicwell where the level spacing for the electron is approximately 8meV. (Hint: This isthe harmonic oscillatorproblem.)

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genius_generous answered 2 years ago

Derive a general expression for the spacing between adjacent energy levels in the 2D Rigid Rotor.

Calculate all of the energy levels for an electron in the finite potential well of width...

Calculate all of the energy levels for an electron in the finite potential well of width a) L = 10 Å, b) L = 50 Å, c) L = 100 Å and L = 1000 Å using the actual mass of an electron for the conduction band of the AlGaAs/GaAs/AlGaAs quantum well. Repeat problem using a) the effective mass of an electron in GaAs (electron effective mass meff = 0.067*mass of an electron)

For a particle in an infinite potential well the separation between energy states increases as n...

For a particle in an infinite potential well the separation between energy states increases as n increases (see Eq. 38-13). But doesn’t the correspondence principle require closer spacing between states as n increases so as to approach a classical (nonquantized) situation? Explain.

What is the qualitative difference between molecular energy levels and atomic energy levels. Be as descriptive...

What is the qualitative difference between molecular energy levels and atomic energy levels. Be as descriptive as possible. Thank you.

Lennard–Jones potential diagrams, also called intermolecular potential energy diagrams, illustrate the relationship between the potential energy...

Lennard–Jones potential diagrams, also called intermolecular potential energy diagrams, illustrate the relationship between the potential energy of a molecule as the distance between the two nuclei changes. Select all of the true statements regarding Lennard–Jones potential diagrams from the list below. Once the attractive forces are greater than the repulsive forces, the outer orbitals are able to overlap, thereby allowing a bond to form. Once a balance is found between the attractive and repulsive forces, the outer orbitals are able...

The potential energy stored in the compressed spring of a dart gun, with a spring constant...

The potential energy stored in the compressed spring of a dart gun, with a spring constant of 36.00 N/m, is 1.440 J. Find by how much is the spring is compressed. A 0.070 kg dart is fired straight up. Find the vertical distance the dart travels from its position when the spring is compressed to its highest position. The same dart is now fired horizontally from a height of 4.30 m. The dart remains in contact until the spring reaches...

Chemical potential energy vs. kinetic energy Know the difference between these two energy types. Energy...

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What is the electric potential energy? Write the relation between the electric potential and the electric...

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In energy transfer between trophic levels, an average of only about 10% of energy (or carbon)...

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Find the energy spectrum of a particle in the infinite square well, with potential U(x) →...

Find the energy spectrum of a particle in the infinite square well, with potential U(x) → ∞ for |x| > L and U(x) = αδ(x) for |x| < L. Demonstrate that in the limit α ≫ hbar^2/mL, the low energy part of the spectrum consists of a set of closely-positioned pairs of energy levels for α > 0. What is the structure of energy spectrum for α < 0?

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