Recent content by Trolle

  1. T

    Energy quantization in schrodinger equation

    The quantum particle you are describing will behave as a free quantum particle, however not necessarily as a classical particle, if that is what you are asking...? A quantum particle doesn't exist in any particular eigenstate - it exists in a superposition of all eigenstates... Thus the idea...
  2. T

    Average total energy of 3D harmonic oscillator in thermal equilibrium

    I believe we Tide and I are discussing two different topics. In general, a degree of freedom is an independent quantity, which must be specified to determine the total energy of a molecule. If the molecule is modeled as a particle, it is without any moment of inertia, and thus without any...
  3. T

    Evaluating the Coulomb Integral of Helium

    1. The problem statement, all variables, equations and given/known data ¨ Hi guys. I am working on solving the stationary Schrôdinger equation of the Helium atom by the variational method using a Slater determinant constructed from Slater type 1s orbitals, and in that respect i need to solve...
  4. T

    Average total energy of 3D harmonic oscillator in thermal equilibrium

    There are 2 degrees of freedom associated with a one-dimensional harmonic oscilator - one for the potential energy (U=½kx^2) and one for the kinetic energy (½mv^2) (*) associated with the oscilation. Thus for a 3-dimensional oscillation we have 2x3=6 degrees of freedom! - Trolle (*): NOT...
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