# Search results

1. ### Angular Momentum Equations

Homework Statement In my study of Quantum Mechanics, I am using Introduction to Quantum Mechanics by David J. Griffiths. So far I have done quite well. However, as I come to the section on Angular Momentum, I need help to get further. Homework Equations Classically, the angular momentum of...
2. ### Problem to Normalize a wave function

Homework Statement To find the stationary states and the corresponding energies, I need to normalize the following equations: X(x)=A_x sin(\frac{n_x\Pi}{a}x) Y(y)=A_y sin(\frac{n_y\Pi}{a}y Z(z)=A_z sin(\frac{n_z\Pi}{a}z Because of their similiraty, these value of the normalize...
3. ### Dirac's Noation

Homework Statement Homework Statement Homework Equations The Attempt at a Solution
4. ### Use of he Gamma function

Homework Statement Homework Statement Homework Equations The Attempt at a Solution
5. ### Expectation value of the sum of two random variables

Homework Statement The expectation value of the sum of two random variables is given as: \langle x + y \rangle = \langle x \rangle + \langel y \rangle My textbook provides the following derivation of this relationship. Suppose that we have two random variables, x and y. Let p_{ij}...

7. ### Faraday's Law and Charge Quantization

Homework Statement My textbook indicates the following three important points are confirmed by Faraday's law of electolysis: a) matter consists of molecules and molecules consist of atoms b) charge is quantized; only integral numbers of charges are transfered to the electrodes c)...
8. ### Number of photons radiated at cavity's hole

Homework Statement A blackhole at 7500K consist of an opening of diameter 0.0500mm, looking into the oven. Find the number of photons per second escaping the hole and having wavelengths between 500nm and 501nm Homework Equations P = \sigma AeT^4 Watt= \frac{Joule}{sec} E_{p} =...
9. ### Electron Concentration

To determine the Fermi Energy for metals such as sodium, copper, gold, ect., one needs the Electron Concentration per cubic meter for the metal of interest. I am curious how this quantity can be determined. I refered to my physic textbooks and did search the Internet. However, the information...
10. ### Eletron Concentration in Metals

Homework Statement To determine the Fermi Energy for metals such as sodium, copper, gold, ect one needs the Electron Concentration per cubic meter. Homework Equations How is this number determined? The Attempt at a Solution My textbook does not give me this information and...
11. ### Problem with Units

Homework Statement In a problem to determine the maximum elastic potential energy of a molecule, I have the following equation: A= \sqrt{\frac{6.626*10^-34 Js}{2\pi}}\times(\frac{1}{(1.14*10^-26kg)(1.85*10^3N/m})^(1/4) Homework Equations The Attempt at a Solution The answer is...
12. ### Wave Function for Hydrogen

Homework Statement Suppose a hydrogen atom is in the 2s stat, with its wav function given by: \psi_2_s (r) = \frac{1}{4\sqrt(2\pi a_o^\frac{3}{2})} (2-\frac{r}{a_o}) e^(-\frac{r}{2a_o}) Taking r = a_o, calculate \psi_2_s (a_o) Homework Equations The Attempt at a Solution...
13. ### Is the wave function normalized?

Homework Statement The ground state wave function for the electron in a hydrogen atom is: \psi(r) = \frac{1}{\sqrt (\pi a_o^3)} e^\frac{-r}{a_o} where r is the radial coordinate of the electron and a_o is the Bohr radius. Show that the wave function as given is normalized...