Recent content by jg370

  1. J

    How Are the Components of Angular Momentum Derived Mathematically?

    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. J

    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. J

    How is the Gamma function used in solving for the expectation value of momentum?

    Homework Statement
  4. J

    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}...
  5. J

    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 transferred to the electrodes c)...
  6. J

    Number of photons radiated at cavity's hole

    Thank you for your suggestions. I have verfied that the constant that I used is probably correct. Moreover, the limit of integration that I derived are based on the wavelengths expresed in nm, as you can see in my last post. Nevertheless, I carried out the calculation again and came up...
  7. J

    Number of photons radiated at cavity's hole

    Then, why does the problem states a radius for the cavity"s hole. Plank's law does not specify a specific area for the radia tion intensity.
  8. J

    Number of photons radiated at cavity's hole

    Homework Statement A black hole 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. J

    Discovering Electron Concentration for Fermi Energy in Metals"

    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 referred to my physics textbooks and did search the Internet. However, the...
  10. J

    Solving Problem with Units: Max Elastic Potential Energy

    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...
  11. J

    What Can the Wave Function for Hydrogen Tell Us About Its Properties?

    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...
  12. J

    Is the Hydrogen Atom Ground State Wave Function Normalized?

    Tks. I wil try again using spherical coordinates
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