the dynamic response of a transversely isotropic, linearly elastic layer bonded to the surface of a half-space of a different transversely isotropic material under arbitrary shape surface loads is considered. with the help of displacements and stresses green’s functions, an analytical formulation is presented for the determination of the displacements and stresses at any point in both surface l...

1 The Schrödinger equation In classical mechanics the motion of a particle is usually described using the time-dependent position ix(t) as the dynamical variable. In wave mechanics the dynamical variable is a wavefunction. This wavefunction depends on position and on time and it is a complex number – it belongs to the complex numbers C (we denote the real numbers by R). When all three dimension...

In the long version of his Ph.D. thesis, Hugh Everett III developed pure wave mechanics as a way of solving the quantum measurement problem faced by the standard von Neumann-Dirac collapse formulation of quantum mechanics. Pure wave mechanics, however, encounters problems of its own. I will brief review Everett‟s description in his thesis of the standard measurement problem, how pure wave mecha...

Hugh Everett III’s pure wave mechanics is a deterministic physical theory with no probabilities. He nevertheless sought to show how his theory might be understood as making the same statistical predictions as the standard collapse formulation of quantum mechanics. We will consider Everett’s argument for pure wave mechanics, how it depends on the notion of branch typicality, and the relationship...