Recent content by Alan Ezra

  1. Alan Ezra

    I Particle in a box and quantization of energy

    Or will it just emit a photon and go to the next lower energy level?
  2. Alan Ezra

    I Particle in a box and quantization of energy

    Greetings, In the scenario of a particle in an infinite potential well, there are discrete energy levels, i.e.##E=\hbar ^2 n^2 \pi ^2/ (2 m L^2)## where L is the width of the potential well, and n takes on positive integers. But what will happen if I put a particle of energy ##E_i## that is not...
  3. Alan Ezra

    Accelerating an electron from speed u1 to u2

    Thank you a lot. That makes sense.
  4. Alan Ezra

    Accelerating an electron from speed u1 to u2

    Thank you for the reply! Yes I am trying to calculate how energy and velocity change wrt time. I am actually following the reasoning of a book, and I cannot quite understand how it gets from eq 2.26 to 2.27. Isn't u a function of time too? why after the integration the left hand side stays the...
  5. Alan Ezra

    Accelerating an electron from speed u1 to u2

    Hi! I am trying to find the time for an electron to accelerate in a uniform electric field from u1 to u2. In the textbook, I found that time is found by integrating d(u/(1-u^2/c^2)^(1/2))=(qE/m_0)⋅dt and they get u/(1-u^2/c^2)^(1/2) = qEt/m_0 by integrating from t=0 and u=0 to t=t and u=u I...
  6. Alan Ezra

    I The barrier length in quantum tunneling

    Hi BvU, Thanks for the help! So should I use the expression and multiply it by the number of particles to find out the number of particles tunneled through? And so the expression I gave, the simplified one took a approximation for sinh^2?? Is that right? Thanks.
  7. Alan Ezra

    I The barrier length in quantum tunneling

    Hi, In transmission coefficient T= exp(-2sqrt(2m(U-E)/hbar^2)L), L, as I interpret it, is the distance of the potential barrier. I am wondering if I have N particles all with kinetic energy E, approaching the barrier, can I integrate the transmission coefficient over a distance from infinity to...
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