Recent content by Jivesh

  1. J

    Absorption (without energy level transition).

    Is it related to the averaging effects of the field over the larger dimensions of the magnet, that we do not observe any effect on a photon due to such a magnet?
  2. J

    Delta well + infinite barrier -> bound state

    There might not be an explicit relation between \\lambda and d, if that what's you are trying to find. But you do have the relation that the difference of the derivatives to the left and right of the peak is equal to the negative of \\lambda times 2m, divided by hbar^2. Comparing the real and...
  3. J

    Bizarre results of 1-dimensional delta-function potential well

    But when we take b to approach infinity, then aren't we saying that the area under the Dirac delta curve is infinite? If I integrate a derivative of delta function, then I get back the same delta function and with a suitable limits, I can get the required infinite area. Is there any other...
  4. J

    Bizarre results of 1-dimensional delta-function potential well

    If I am right, then you are taking b to approach infinity to show that R approaches 1 in that case. But, to make a Dirac delta potential, this is not how you do it. The total area (represented by b) in a Dirac delta function is finite; it is the magnitude of the function that is infinite. But...
  5. J

    Bizarre results of 1-dimensional delta-function potential well

    The result that you have got is correct. Try to imagine the scenario in terms of wave mechanics. Whenever a wave is incident on a boundary, no matter how strange, it has to split into two components: a reflected wave and a transmitted wave. It is from this principle that you see that even while...
  6. J

    Diagonalizing Spin Hamiltonian

    I don't know how to use latex that well, so I'll try to give you the general idea as to how I got the solution. The matrix for which we need to find the eigenvalues is [A B B -A] the eigenvalues come out to be sqrt(A^2 + B^2), with both negative and positive values of the square-root. Next...
  7. J

    How can I solve the Linear Harmonic Oscillator in polar coordinates?

    Why trouble yourself by going into polar co-ordinates? Just look for solution of the form Ψ = X(x)Y(y), for the Schrodinger equation in cartesian co-ordinates and you'll get two equations for a Linear Harmonic Oscillator. Surely, for the case of two one dimensional equation, you know the...
  8. J

    Absorption (without energy level transition).

    I have a more fundamental question on similar lines: we know that in an atom, only certain discrete energy levels are available for the electron in it to transition. Then consider the case, when a photon of an energy that is mid way between two consecutive energy levels, and the electron (for...
  9. J

    Double slit experiment with detectors not recording

    But I don't understand that why does he say that "when we leave the detector on, but don't make any measurements, that is, the magnetic head is moving, but there is no magnetic tape to record the readings of the moving head, then we see an interference/diffraction patter". Has this been proved...
  10. J

    Gravity: Fictitious Force & Inertial Frame of Reference?

    You can say that for most of the experiments done, they have a comparatively short duration as compared to the period of revolution of the Earth (this time period links to the centripetal acceleration). Now, for the duration of the experiment, the Earth is almost moving along a straight line...
  11. J

    Exploring the Dimensions of a Photon: Understanding its Size and Structure

    I was also perplexed as to what possible answer could be there when we talk about the size of the photon. Even the concept of measuring the radius of the electron is not justified in quantum theory, because if we consider the electron to be a sphere with the charge smeared on its surface or...
  12. J

    Double slit experiment with detectors not recording

    How is that even possible? I though that the fundamental idea of quantum mechanics is that the act of measurement collapses the wavefunction of the electron and thus makes it behave as a particle, irrespective of whether we acknowledge the presence of the detector being there or not. The...
  13. J

    Question of the behavior of particles in observation

    That is one of the main questions in QM. What causes the wavefunction to collapse on measurement is unknown. However, a theory called decoherence was developed as a more general concept of wavefunction collapse. By constantly measuring a system, it is possible to keep the system in that state as...
  14. J

    For Deriving De Broglie' Wavelength

    I would like to give a somewhat valid derivation of the de Broglie equation. I had given a similar derivation on another thread discussing the same problem. Here goes: In order to come up with the wavelength of the matter wave of a particle, we need to consider the wave properties of that...
  15. J

    Question about Deriving the de Broglie Wavelength

    I know I am very late to this thread and probably no one is paying any attention to it. But I would like to give a somewhat valid derivation of the de Broglie equation, as I landed on this thread by seaching for a true derivation of the same. So, it might help someone else who is also surfing...
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