The interaction of a Josephson fluxon with an external magnetic field-induced potential in a long Josephson junction is investigated experimentally. The thermal activation of the fluxon from a potential well is observed and experiments probing its predicted quantum properties are discussed. A method for engineering a magnetic double-well potential for a fluxon is proposed and the use of the cou...

the rank-k numerical range has a close connection to the construction of quantum error correction code for a noisy quantum channel. for noisy quantum channel, a quantum error correcting code of dimension k exists if and only if the associated joint rank-k numerical range is non-empty. in this paper the notion of joint rank-k numerical range is generalized and some statements of [2011, generaliz...

Quantum teleportation is discussed using the notion of active information. We show that this information has an objective meaning and it is this information that is teleported from one particle to another. This information transfer is mediated by the non-local quantum potential. Our approach suggests that there is a new quality of energy operating in the quantum domain and that this energy is n...

A short survey of some material related to conformal general relativity (GR), integrable Weyl geometry, and Dirac-Weyl theory is given which suggests that various actions can be reformulated in terms of the quantum potential. Possible connections to dark matter are also indicated.

Abstract. A realistic microscopically-based quantum approach to the competition between fusion and quasi-fission in a heavy fusing system is applied to several reactions leading to 256No. Fusion and quasi-fission are described in terms of a diffusion process of nuclear shapes through a dynamical collective potential energy landscape which is initially diabatic and gradually becomes adiabatic. T...

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.

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...