We review some material connecting gravity and the quantum potential and provide a few new observations. The main theme is that in utilizing a conformal (Weyl) geometry the metric plus the Weyl vector plus the quantummass field determine spacetime geometry. There are strong connections to deBroglie-Bohm style ideas in quantum theory.

The recent launch of the Micius quantum-enabled satellite heralds a major step forward for long-range quantum communication. Using single-photon discrete-variable quantum states, this exciting new development proves beyond any doubt that all of the quantum protocols previously deployed over limited ranges in terrestrial experiments can in fact be translated to global distances via the use of lo...

Quantum switch is a primitive element in quantum network communication. In contrast to previous switch schemes on one degree of freedom (DOF) of quantum systems, we consider controlled switches of photon system with two DOFs. These controlled photon switches are constructed by exploring the optical selection rules derived from the quantum-dot spins in one-sided optical microcavities. Several do...

We present the case of quantal transmission through a smooth, single-piece exponential potential, V (x) = −V0e x/a, in contrast to the piece-wise continuous potentials, as a pedagogic model to demonstrate the analytic extraction of transmission (reflection) co-efficient. The Schrödinger transmission through a one-dimensional potential well/barrier constitutes an essential topic in the courses a...

Entangled states of composite quantum systems exhibit one of the most distinct and non-classical features of the quantum mechanical description of Nature, first pointed out by Schroedinger: ‘Maximal knowledge of a total system does not necessarily imply maximal knowledge of all its parts’. We provide an elementary illustration of this fundamental aspect of quantum physics by considering a syste...

A new instanton solution is found in the quantum-mechanical double-well potential with a four-fermion term. The solution has finite action, S = −m3 3λ − ( mA 4 √ 2λ + g 261m 8960 ) ǫξiξjξkξl, where A is a bosonic collective coordinate, ξi, i = 1, ..., 4 are fermionic collective coordinates and g,m and λ are coupling constants. We explain why in general the instanton action can depend on collect...

If a wave function is written in polar form it becomes possible to write the Schr\"odinger equation of nonrelativistic quantum mechanics analogous classical Hamilton-Jacobi with an extra term known as potential. Time-dependent supersymmetry procedure for finding new solutions if one solution known. In this paper time-dependent transformation applied and shown that potential plus conserved quant...

Non-relativistic de Broglie-Bohm theory describes particles moving under the guidance of the wave function. In deBroglie’s original formulation, the particle dynamics is given by a first-order differential equation. In Bohm’s reformulation, it is given by Newton’s law of motion with an extra potential that depends on the wave function—the quantum potential—together with a constraint on the poss...

Interaction and correlation effects in quantum dots play a fundamental role in defining both their equilibrium and transport properties. Numerical methods are commonly employed to study such systems. In this paper we investigate the numerical calculation of quantum transport of electrons in spherical centered defect InGaAs/AlGaAs quantum dot (SCDQD). The simulation is based on the imaginary time...