We argue that quantum mechanics makes sense without such controversial postulates as the wave function collapse, the quantum probability rule and the observable postulate. We only need the existence of a wave function as a representation of a state, its dynamical evolution rule and another rather trivial postulate proposed here (Read-Off Postulate). The wave function collapse and the probabilit...

The quantum mechanics of a system of charged particles interacting with a magnetic field on Riemann surfaces is studied. We explicitly construct the wave functions of ground states in the case of a metric proportional to the Chern form of the θ-bundle, and the wave functions of the Landau levels in the case of the the Poincaré metric. The degeneracy of the the Landau levels is obtained by using...

We aim, in this paper, to present a formal interacting string solution for the MigdalMakeenko Loop Wave Equation for the colour group (U(Nc)) (Ref. [1] and references therein). Our main tool to solve the Migdal-Makeenko Loop Wave Equation is based on the remark made in the Section 1 of this note, where we address the problem of solving critical string wave equations by string functional integra...

Fractional derivatives are well suited to describe wave propagation in complex media. When introduced in classical wave equations, they allow a modeling of attenuation and dispersion that better describes sound propagation in biological tissues. Traditional constitutive equations from solid mechanics and heat conduction are modified using fractional derivatives. They are used to derive a nonlin...

Wave packet broadening in usual quantum mechanics is a consequence of dispersion behavior of the medium which the wave propagates in it. In this paper, we consider the problem of wave packet broadening in the framework of Generalized Uncertainty Principle(GUP) of quantum gravity. New dispersion relations are derived in the context of GUP and it has been shown that there exists a gravitational i...

The generic “billiard problem” is a paradigm of nonlinear mathematical physics, which connects to deep issues in quantum and wave physics all the way to quantum or wave chaos. It can be implemented in mechanics, optics or electromagnetism, either within classical or quantum mechanics, depending on experimental configurations and on the billiard length-scale. The elusive borders between wave and...

The Hamilton-Jacobi equation of relativistic quantum mechanics is revisited. The equation is shown to permit solutions in the form of breathers (oscillating/spinning solitons), displaying simultaneous particle-like and wave-like behaviour. PACS: 03.65-w, 03.65Pm, 03.65.-b

The formalism of Supersymmetric Quantum Mechanics supplies a trial wave function to be used in the Variational Method. The screened Coulomb potential is analysed within this approach. Numerical and exact results for energy eigenvalues are compared.

After discussing various examples, the diameter of a single photon is calculated by combining the formulas of quantum mechanics and wave theory. The experimentally known coherence length is the length of the photon.

In Bohmian mechanics the distribution |ψ|2 is regarded as the equilibrium distribution. We consider its uniqueness, finding that it is the unique equivariant distribution that is also a local functional of the wave function ψ.