Purchase Solution

Wave Functions and Energy Levels

Not what you're looking for?

Ask Custom Question

Consider the particle in the infinite potential well as shown in Figure 2-1 (see attachment). Derive and graph the wave functions corresponding to the four lowest energy levels. Do not normalize wave functions. Find the four lowest energy levels. Use Matlab to graph the wave functions. What happens if the well dimensions increases? Where -L < x < L to -3L < x < 3L?

Attachments
Purchase this Solution
Solution Summary

This solution provides step by step calculations for deriving wave functions and finding energy levels.

Purchase this Solution
Free BrainMass Quizzes
The Moon

Test your knowledge of moon phases and movement.

Introduction to Nanotechnology/Nanomaterials

This quiz is for any area of science. Test yourself to see what knowledge of nanotechnology you have. This content will also make you familiar with basic concepts of nanotechnology.

Intro to the Physics Waves

Some short-answer questions involving the basic vocabulary of string, sound, and water waves.

Basic Physics

This quiz will test your knowledge about basic Physics.

Variables in Science Experiments

How well do you understand variables? Test your knowledge of independent (manipulated), dependent (responding), and controlled variables with this 10 question quiz.

View More Free Quizzes
Related BrainMass Solutions

  • Energy levels of electron

    46216 Energy Levels of Electron Determine the lowest four energy levels and wave functions of an electron trapped in an infinitely deep potential well of width 2.0nm. What is the longest wavelength of light emitted by this system?

  • Particle in a 3D box calculation

    The wave functions that correspond to this energy level are: (1.28) The first 6 energy levels are: in units of 1 1 1 3 2 1 1 6 1 2 1 6 1 1 2 6 2 2 1 9 2 1 2 9 1 2 2 9 3 1 1 11 1 3 1 11 1 1 3 11 2 2 2 12 3 1 2 14 3

  • Particle in a box and the Harmonic Oscillator

    Hence the wave functions ψn(x) = 0 for n odd. Therefore, the allowed wave functions for this particular potential well are: with n = 1, 3, 5, 7,....

  • 1-D Quantum Mechanics

    b) Despite the divergence at x= 0, the Schrodinger Equation can be solved to find energy levels and wave functions for the electron in this potention.

  • First order perturbation in an infinite spherical well

    the wave functions are: (1.16) The energy levels can be simply found from: (1.17)   If the well is complete sphere, then and we get: (1.18) (1.19) The first order correction is simply the expectation value

  • Fermions in harmonic potential.

    Find the energies of the ground and first excited states of this two-fermion system. Express the eigenstates corresponding to these two energy levels in terms of harmonic oscillator wave functions and the singlet and triplet spin states. b.

  • Perturbation Theory with Atoms

    the perturbation theory and applies it to atoms and determines the ground state energy, first-order corrections in energy, how many levels E2 splits into, good wave functions, and the expectation value of the electric dipole moment.

  • Infinite square well and Schroedinger equation

    These are the quantized energy levels of a particle in an infinite square well. I have shown how to derive the quantized energy eigen values and eigen functions of an infinite square well extending from x = -L/2 to x = +L/2.

  • Particle in an infinite tube

    The particle is moving in the +z direction solve the Schrodinger equation to derive the allowed wave functions for this particle. Do not try to normalize the wave functions, but make sure they correspond to motion in the +z direction.

View More Related Solutions