This paper proposes a new mixed quantum mechanics (QM)-molecular mechanics (MM) approach, where MM is replaced by quantum Hamilton mechanics (QHM), which inherits the modeling capability of MM, while preserving the state-dependent nature of QM. QHM, a single mechanics playing the roles of QM and MM simultaneously, will be employed here to derive the three-dimensional quantum dynamics of diatomi...

A survey of topics of recent interest in Hamiltonian and Lagrangian dynamical systems, including accessible discussions of regularization of the central force problem; inequivalent Lagrangians and Hamiltonians; constants of central force motion; a general discussion of higher-order Lagrangians and Hamiltonians with examples from Bohmian quantum mechanics, the Korteweg-de Vries equation and the ...

When these are substituted into his equation (17), the right hand side of his equation (18) vanishes. What Marchildon’s calculations have, in fact, established is that the assumption of translation invariance (Fraunhoffer diffraction and plane waves) imposed by me in my papers are sufficient but not necessary to obtain the basic result, namely that the trajectories are symmetrical at all times ...

The classical behaviour of a macroscopic system consisting of a large number of microscopic systems is derived in the framework of the Bohmian interpretation of quantum mechanics. Under appropriate assumptions concerning the localization and factorization of the wavefunction it is shown explicitly that the center of mass motion of the system is determined by the classical equations of motion.

We argue that the inference of CP violation in experiments involving the K − K̄ system in weak interactions of particle physics is facilitated by the assumption of particle trajectories for the decaying particles and the decay products. A consistent explanation in terms of such trajectories is naturally incorporated within the Bohmian interpretation of quantum mechanics. e-mail:[email protected]...

The de Broglie-Bohm interpretation of quantum mechanics aims to give a realist description of quantum phenomena in terms of the motion of point-like particles following well-defined trajectories. This work is concerned by the de Broglie-Bohm account of the properties of semiclassical systems. Semiclassical systems are quantum systems that display the manifestation of classical trajectories: the...

I consider various experiments related to the so-called `̀ macroscopic quantum coherence’’ experiment, which are probably at present in the class of `̀ thought’’ experiment but are likely to become realistic in the next few decades. I explore the way in which outcomes consistent with the predictions of quantum mechanics would be interpreted by an adherent of , respectively, the Copenhagen , stati...

Price return and P/E are two important factors for a lot of investors based on the latest studies by researchers in Tehran Stock market; however, it is expected that the price and the variation of that affect the return and the P/E of any given market as a complicated system. The Bohmian quantum mechanics used referring to the time correlation of return and P/E of the stock market under conside...

Weak measurement allows one to empirically determine a set of average trajectories for an ensemble of quantum particles. However, when two particles are entangled, the trajectories of the first particle can depend nonlocally on the position of the second particle. Moreover, the theory describing these trajectories, called Bohmian mechanics, predicts trajectories that were at first deemed "surre...