Purchase Solution

Angular probability distribution

Not what you're looking for?

Ask Custom Question

1. Orbital angular momentum

Consider the angular wave function:

(see attached)

a) Construct the angular probability density. Show that you can write this as a product of (see attached) and show that both functions are probably normalized.

Attachments
Purchase this Solution
Solution Summary

The solution shows how to write the probability density function of a superposition of spherical harmonics as a product of normalized independent angular distribution functions

Solution Preview

The solution is attached below in two files. the files are identical in content, only differ in format. The first is in MS Word format, while the other is in Adobe pdf format. Therefore you can choose the format that is most suitable to you.

The normalized spherical harmonics are:
(1.1)
The wavefunction is:
(1.2)
Using Euler's identity:
(1.3)
Then:
(1.4)
And ...

Purchase this Solution
Free BrainMass Quizzes
The Moon

Test your knowledge of moon phases and movement.

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.

Intro to the Physics Waves

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

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.

Basic Physics

This quiz will test your knowledge about basic Physics.

View More Free Quizzes
Related BrainMass Solutions

  • Position probability distribution for a pendulum

    536415 Position probability distribution for a pendulum Please help me with these problems. Thank you. Position probability distribution for a pendulum.

  • The Hydrogen Atom and the Radial Angular Momentum

    245596 The Hydrogen Atom and the Radial Angular Momentum Hydrogen atom The radial probability density for an electron is r2R2(r).

  • Energy Levels, Eigenstates, Spin State of Particle System

    If you measure the z-component of the particles angular momentum, what is the time dependent probability of finding - h/2 ? Hello and thank you for posting your question to Brainmass.

  • States probabilities

    616898 States probabilities An angular momentum system is prepared in the state |Psi> = 1/Sqrt(10) ( |1 1> - 2|1 0> + 2i|2 2> + i |2 0>) What are the possible results of a measurement of the squared angular momentum L_hat^2 and with what probabilities

  • Electron in a Hydrogen Atom

    Does the orbital angular momentum change? Give an expression for the probability that the electron's energy does not change, explaining your reasoning. Hello and thank you for posting your question to Brainmass.

  • Quantum Probability of Eigenvalue Measurement

    The particle experiences a torque where S is the spin angular momentum of the particle. The magnitude of the torque is given by where is the angular frequency of precession of the magnetic moment of the particle about the z-axis.

  • Summary of condenstation theory of Solar System

    The problem is to explain "How did this distribution of angular momentum arise as seen today?"

  • Magnetic field due to rotating disk and cylinder.

    Two problems with the rotating disk and cylinder having volume charge distribution. The magnetic field is calculated as a function of the distance from the axis of cylinder and on the axis of the disk.

  • Moment of Inertia of Two Particles Located in the X-Y Plane

    Such a formula can, indeed, be written: for rotational motion of a system of small particles or for a rigid object with continuous mass distribution, the kinetic energy can be written as .

View More Related Solutions