Schroedinger's hope

Ijaz Durrani

Haret Codratian Rosu, Octavio Cornejo-Pérez, Román López-Sandoval

We obtain a class of parametric oscillation modes that we call K-modes with damping and absorption that are connected to the classical harmonic oscillator modes through the "supersymmetric" one-dimensional matrix procedure similar to relationships of the same type between Dirac and Schroedinger equations in particle physics. When a single coupling parameter, denoted by K, is used, it characterizes both the damping and the dissipative features of these modes. Generalizations to several K parameters are also possible and lead to analytical results. If the problem is passed to the physical optics (and/or acoustics) context by switching from the oscillator equation to the corresponding Helmholtz equation, one may hope to detect the K-modes as waveguide modes of specially designed waveguides and/or cavities

Johann Götschl

E. Schroedinger - a bibliographical sketch. Part 1 Physics in the philosophical system of Erwin Schroedinger: Erwin Schroedinger and the philosophy of the physicists holistic aspects of the Schrodinger equation Schroedinger's cat and the interpretation of quantum mechanics the Schroedinger function of macroscopic systems. Part 2 Life sciences and the theories of self in Erwin Schroedinger's philosophical system: Schroedinger's negentropy concept and biology determination and self-organization - Erwin Schroedinger's views on chance Schroedinger, the self and the genes Erwin Schroedinger and his contribution to a new understanding of living systems. Part 3 Erwin Schroedinger's world view and his philosophical system: on the scientific and humanistic thinking of Erwin Schroedinger during his last years Erwin Schroedinger as historian - notes towards an interpretation Erwin Schroedinger's position in the Einstein-Bohr debate the notion of consciousness in Schroedinger's philosophy of nature remembering Schroedinger the study of nature and the emergence of world view - philosophical reflections on E. Schreodinger's approach.

Wolfgang Koehler

Here I present a new discrete model of quantum mechanics for relativistic 1-electron systems, in which particle movement is described by a directed space-time graph with attached 4-spinors, but without any continuous wave functions. These graphs only consist of few space-like edges, e.g. the ground state of atoms is described by two nodes and one edge, and interactions only take place at the nodes. The fundament is an extremal principle for a relativistic invariant "Lagrangian sum", from which "field-equations" and "equations of motion" are derived, so the states (including the graph nodes) are completely determined. As important validations of the model, the corresponding graphs for the stationary Dirac-equation for the atom are drawn and the correct spectra are computed (Sommerfeld-levels). Also a discrete Schroedinger approximation and an associated "Hamiltonian sum" are derived and the correct equation of a classical moving particle under Lorentz-force is presented. I hope, that this new approach will help, to overcome some problems of current quantum mechanics by making the wave function superfluous.

Luca Viganò, Diego Sempreboni