DOES IDENTITY HOLD A PRIORI IN STANDARD QUANTUM MECHANICS?

Vladimir Lvovich Lyuboshitz, M.I. Podgoretskii

P. Enders

Tomasz Bigaj

H. W. L. Naus, Jan‐Willem G. Bos, Justus H. Koch

In a Lagrange formulation of nonrelativistic quantum mechanics gauge invariance corresponds to a local U(1) symmetry of the Lagrangian density. We review how this gauge symmetry yields the electromagnetic interaction of the free and the locally interacting N-body system and why nonlocal interactions require additional exchange contributions. A nonrelativistic Ward-Takahashi identity is then derived. This relates electromagnetic operators to the full propagator of the particles in question, which may be off their energy shell.

L Mackinnon

Miguel Ferrero, Salgado, David, J. L. Sánchez‐Gómez

We show that quantum mechanics is the first theory in human history that violates the basic a priori principles that have shaped human thought since immemorial times. Therefore, although it is more contrary to magic than any body of knowledge could be, what could be called its magic precisely resides in this violation.