For a finite potential well, how would you calculate the energy values in which you would...

For a finite potential well, how would you calculate the energy values in which you would have bound states?

Expert Solution

genius_generous answered 2 years ago

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)

A particle of mass m is confined to a finite potential energy well of width L....

A particle of mass m is confined to a finite potential energy well of width L. The equations describing the potential are U=U0 x<0 U=0 0 < x < L U=U0 x > L Take a solution to the time-independent Schrodinger equation of energy E (E < U0) to have the form A exp(-k1 x) + B exp(k1 x) x < 0 C cos(-k2 x) + D sin(k2 x) 0 < x < L F exp(-k3 x) + G exp(k3...

An electron is bound to a finite potential well. (a) If the width of the well...

An electron is bound to a finite potential well. (a) If the width of the well is 4 a.u., determine numerically the minimum depth (in a.u.) such that there are four even states. Give the energies of all states including odd ones to at least 3 digits. (b) Repeat the calculation, but now keep the depth of the well at 1 a.u., determine the minimum width (in a.u.)

The solution for the finite potential well is a combination of sine and cosine functions a...

The solution for the finite potential well is a combination of sine and cosine functions a combination of exponential functions a combination of exponential functions and sine and/or cosine functions a third degree polynomial

Sketch the potential-well diagram of finite height U and length L, obtain the general solution of...

Sketch the potential-well diagram of finite height U and length L, obtain the general solution of the Schrödinger equation for a particle of mass m in it

Consider a finite square well, with V = 1.2 eV outside. It holds several energy states,...

Consider a finite square well, with V = 1.2 eV outside. It holds several energy states, but we are only interested in two: E1 = 1.15 eV E2 = 1.1 eV 1) For E = 1.15 eV, what is the decay constant, κ, outside the well in nm-1(i.e., where V = 1.2 eV)? κ = 2) For E = 1.1 eV, what is the decay constant, κ, outside the well in nm-1 (i.e.,) where V = 1.2 eV)? κ =...

A particle in a 3-dimensional infinite square-well potential has ground-state energy 4.3 eV. Calculate the energies...

A particle in a 3-dimensional infinite square-well potential has ground-state energy 4.3 eV. Calculate the energies of the next two levels. Also indicate the degeneracy of the levels.

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.)

1. Would a saturated fatty acid hold more potential energy or less potential energy than an...

1. Would a saturated fatty acid hold more potential energy or less potential energy than an unsaturated fatty acid? Why? Be sure to frame your answer in terms of the redox state of the carbon atoms within each molecule. 2. Photosynthesis utilizes light energy in order to synthesize glucose molecules from carbon dioxide. Describe the process by which cells capitalize on the energy carried by photons to do work. 3. Some proteins have unstructured domains. This seems counterintuitive given the...

How would you calculate the population size of a species of plant? How would you calculate...

How would you calculate the population size of a species of plant? How would you calculate the population size of a species of mice? Practice: A biologist originally marked 40 butterflies in a park. Over a period of 30 days, butterfly traps caught 200 butterflies. Of the 200 captured, 8 were found to have tags. Based on this information, what is the estimated population size of the butterflies in the Park?

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