Recent content by A. Neumaier

  1. A. Neumaier

    Graduate Universal quantum physics

    But they amount to unverifiable speculation.
  2. A. Neumaier

    Graduate Universal quantum physics

    Bohmian mechanics is a different interpretation, limited to nonrelativistic quantum mechanics. Thus this incompatibilty is a plus for the new approach! Yes. This is discussed In Section 13 of my paper.
  3. A. Neumaier

    Graduate Universal quantum physics

    But only the quasiclassical ones are checkable by us, and hence only these convey an objective physical meaning in the sense used by the physics community.
  4. A. Neumaier

    Graduate Consistency of Relativistic QM

    I had written this from memory, and was wrong. Actually.Hida distributions can be used to construct the Feynman path integral (which is done in the paper you cited), but only for anharmonic oscillators, which corresponds to a field theory in 1-dimensional spacetime. The real problems appear in...
  5. A. Neumaier

    Undergrad Scattering Theory: Difference between use of scattering amplitude and Born approximation?

    The latter is (as the name says) an approximation of the former, where only the first order term in the Born series is taken into account.
  6. A. Neumaier

    Graduate Consistency of Relativistic QM

    This is the Euclidean (Feynman-Kac) path integral, which is mathematically better behaved. But QFT needs the Minkowski (Feynman) path integral, which has an extra factor i in the exponent that makes the intergrals heavily oscillating and mathematically intractable in infinite dimensions, except...
  7. A. Neumaier

    Graduate Consistency of Relativistic QM

    Talagrand is a mathematician who tried to understand standard relativistic QFT and then wrote his book about what he found. He is not acquainted with much of the physics literature, and hence only presents the standard view of QFT people (which can also be found in Weinberg's QFT Vol. 1) ...
  8. A. Neumaier

    Graduate Universal quantum physics

    yes, and a very poor one in most cases, except when a system is nearly in the ground state (as for molecules in much of quantum chemistry), or when the system is stripped of its spatial degrees of freedom and only has a small number of energy levels. Hence it usually describes nothing at all...
  9. A. Neumaier

    Graduate Universal quantum physics

    In the present paper I don't use the term q-expectation. All terminology used in the paper is explained there. The Born rule is derived in Section 5.2 from a physically simpler and more intuitive postulate, the detector response principle (DRP). Why does the DRP not make sense to you? It is an...
  10. A. Neumaier

    Graduate Universal quantum physics

    In the Stern-Gerlach experiment discussed on p.15, <P_+> and <P_-> are the propensity for a single silver atom to appear on the left or right spot, respectively. One of the two cases happens, we cannot predict which one, and talking about probability for a single case is meaningless; hence...
  11. A. Neumaier

    Graduate Universal quantum physics

    Your question is ill-posed. Since this hydrogen atom interacts with other atoms, it is in a mixed state, obtained from the state of this atom + other atoms by forming the reduced density matrix. Thus ''this hydrogen atom which is in a superposition (in energy or spin for example)'' is...
  12. A. Neumaier

    Graduate Universal quantum physics

    No. I am using the standard unitary formalism of QM applied to QFT for the whole universe. Then I draw consequences for it's physical subsystems. Since the subsystems are not completely isolated, their dynamics is no longer completely unitary. This leads to decoherence and other well-known effects.
  13. A. Neumaier

    Graduate Universal quantum physics

    For a physical system in a pure state ##\psi##, the matrix elements ##\langle X \rangle=\psi^*X\psi## may be regarded as providing its properties. For example, if ##X## is an orthogonal projector then ##\langle X \rangle## is a propensity, and can be approximately measured as relative frequency...
  14. A. Neumaier

    Graduate Universal quantum physics

    This link now contains a significantly expanded version, ready for publication. New additions are (in addition to other small improvements throughout the paper) more details of the connections to cosmology, the similarities and differences to other interpretations of quantum mechanics, a...