Erwin Schrödinger and Quantum Wave Mechanics

ESI The Erwin Schrödinger

The basic representation of the current group O(n, 1) X in the L 2 space over the generalized Lebesgue measure 1) ,

ESI The Erwin Schrödinger

We formulate a premetric version of classical electrodynamics in terms of the excitation H = (H,D) and the field strength F = (E,B). A local, linear, and symmetric spacetime relation between H and F is assumed. It yields, if electric/magnetic reciprocity is postulated, a Lorentzian metric of spacetime thereby excluding Euclidean signature (which is, nevertheless, discussed in some detail). More...

ESI The Erwin Schrödinger

We study the Harish-Chandra Schwartz space of an adelic quotient G(F )\G(A). We state a conjectural spectral decomposition of it in terms of parabolic induction. We verify a cuspidal version of this conjecture under additional hypotheses on the group G, which are known to be satisfied for G = GLn.

ESI The Erwin Schrödinger International

We survey the basics of homological algebra in exact categories in the sense of Quillen. All diagram lemmas are proved directly from the axioms, notably the five lemma, the 3×3-lemma and the snake lemma. We briefly discuss exact functors, idempotent completion and weak idempotent completeness. We then show that it is possible to construct the derived category of an exact category without any em...

ESI The Erwin Schrödinger International