Recent content by JordanGo

  1. J

    Single Slit Experiment: Details & Equations

    Hello! I am looking for resources to give me details of the single slit experiment. I want to code a simulation of the experiment, but most information i find is too simple or missing details. I need equations for the two angles of the particle (angle with respect to x direction and angle with...
  2. J

    Heisenberg's Microscope Derive Exactly Uncertainty Principle

    Thank you so much vangees71! That was a great answer. However, I am trying to find an experiment (even a thought experiment) that challenges the extreme limit of the Heisenberg's uncertainty principle (where you do obtain hbar over 2). The double slit experiment is an excellent demonstration...
  3. J

    Heisenberg's Microscope Derive Exactly Uncertainty Principle

    Can the Heisenberg's Gamma Ray Microscope thought experiment derive the Uncertainty Principle precisely? Most derivations I find, the uncertainty is roughly 2h, whereas the uncertainty principle is "hbar over 2". Is there anywhere where there is more precise calculations to obtain "hbar over 2"...
  4. J

    Rotation and Boost Commutating on the Same Axis

    I want to prove that: [J_1,G_1] = 0 Where J is the rotation operator and G is the boost operator (subscript refers to the axis). I am using the Jacobi identity: [[J_1,J_2],G_3] = [[G_3,J_2],J_1] +[[J_1,G_3],J_2] Using other identities, I got: [J_3,G_3] = [G_2,J_2] - [G_1,J_1]...
  5. J

    Radial Velocity of the centre of mass of spectroscopic binary system

    My book says (Foundations of Astrophysics): " The radial velocity ... can be found from the Doppler shift of the star's absorption lines: \nu_{r}=\frac{\Delta\lambda}{\lambda}c If the star you are observing is part of a spectroscopic binary system, you can separate the radial velocity of...
  6. J

    What should I write for my curriculum vitae?

    Ok, that's sounds like a plan, thank you so much for the great advice!
  7. J

    What should I write for my curriculum vitae?

    I am currently in my 3rd year of physics and I wanted to do some research with a professor. I have emailed him and he said that I need to provide him with a transcript and a cv. But I have no experience doing research at all. So what do I include in the cv?
  8. J

    Singular behavior of the density state called a van Hove singularity

    Homework Statement I was doing a condensed matter problem (3rd year) of a phonon dispersion relation for a monatomic linear chain. It asked told me to derive an expression for the density state per unit length and I obtained the following: g(\omega) = \frac{L}{a\p} \frac{1}{4C/M -...
  9. J

    Schools Graduate School Mathematics Preperation

    These are great suggestions! Exactly what I was looking for. Thanks so much for your awesome replies!
  10. J

    Schools Graduate School Mathematics Preperation

    Here is my situation: I am currently finishing my undergraduate physics program and thinking of doing graduate studies. My only concern is that the knowledge of mathematics is fairly weak. My program offers little mathematics, its very general physica. I am interested in doing theoretical...
  11. J

    What Is the Dimensionality of Phase Space for a Two-Atom Molecule System?

    Ok, so if I look at the molecule as two points (since there is two atoms per molecule) connected by a spring, each point has 6 coordinates that describe it. The coordinates being, say, x, y, z, θ, ∅ and d (the length of the spring). Now, since there is 2 points in our system, we have x1, x2, y1...
  12. J

    What Is the Dimensionality of Phase Space for a Two-Atom Molecule System?

    so each molecule has two atoms, each atom has 6 degrees of freedom, thus the system has 12 degrees of freedom and since there is N molecules, the dimensionality is 12N?
  13. J

    What Is the Dimensionality of Phase Space for a Two-Atom Molecule System?

    Homework Statement A classical gas consists of N molecules; each molecule is composed of two atoms connected by a spring. Identify the dimensionality of the phase space that can be used to describe a microstate of the system. The Attempt at a Solution I believe the answer is 12, but...
  14. J

    Variational Principle of 3D symmetric harmonic oscillator

    <V> does not have units of energy... But thank you for showing me the integration, I did not use dV, which will cause many problems... thanks!
  15. J

    Variational Principle of 3D symmetric harmonic oscillator

    Homework Statement Use the following trial function: \Psi=e^{-(\alpha)r} to estimate the ground state energy of the central potential: V(r)=(\frac{1}{2})m(\omega^{2})r^{2} The Attempt at a Solution Normalizing the trial wave function (separating the radial and spherical part)...
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