Recent content by Mark_M

  1. M

    Integral -- analytical way to prove this integral is non-negative?

    Is there any analytical way to prove that the integral \int_{2.04}^\infty \frac{\sin x}{x^2}dx is nonegative? I tryed to use geometrical approach, i.e. the graph of the integrand look like: The magnitude became smaller and smaller, since \sin x is multiplied by the decreasing function...
  2. M

    Can exited states exist without a ground state?

    When I say it does not exists I mean, that under some conditions on vector and scalar potentials, the Klein Gordon or Dirac equation will not have a wave function which corresponds to the ground state. Therefore can we conclude from there that under the same conditions the exited states will not...
  3. M

    Can exited states exist without a ground state?

    Hello everybody, I have a question which might be silly. Nevertheless: Can exited states exist if you know that the ground state do not exist? Will in such a case first exited state become the ground state? Thanks.
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