YaotianFu.Org

We show that the lack of full periodicity in quasi crystal’s lattice potential and the resulting narrow “quasi bandwidth” may strongly enhance the electron phonon interaction in the sample. This enhanced interaction is more primarily and directly responsible than the lack of geometrical periodicity alone in affecting the electrical transport in quasi crystals, as can be confirmed through experimentally observed quasi crystal’s poor electrical conducting behavior, which we illustrate.

The study of the X-ray edge and infrared catastrophe may help the understanding of the AC and transient behavior of a nanoscopic electronic device which, because of these, cannot be modeled by a simple RC circuit element with constant R and C in general. Our discussions illustrate that a direct and immediate application of the standard approaches do not provide reasonable results, with potential usefulness in quantum electrical engineering.

We discuss the quantum mechanical behavior in a linear potential, that it may require more careful treatment beyond Landau–Lifshitz to obtain reasonable results, and its possible useful application in nano–electronics.

We consider an acoustic wave propagating through a random medium and show that the resulting scattering delay in the wave propagation can be related to a certain scattering time. We relate this to the wave diffusion constant and relate wave’s transport velocity to its phase velocity.

While in general theoretical studies of disordered systems one routinely presumes that its random scattering potential has a white spectrum for analytical treatment convenience, it is easy to show that the real sample random scattering potential does not have a white spectrum but must vary smoothly with a correlation length scale (at least) several times greater than the lattice constant for disordered solids. We point out, nevertheless, that that correction is negligibly small, and for practical applications can almost always be neglected.

We show that the lack of full periodicity in quasi crystal’s lattice potential and the resulting narrow “quasi bands” may significantly enhance the electron phonon interaction in the sample.This renormalized and enhanced interaction is primarily and directly responsible than the geometrical aperiodicity alone in affecting the electrical transport in quasi crystals as can be verified through the experimentally observed quasi crystal’s poor electrical conducting behavior, which we illustrate.

We point out that the commenly cited argument following which that an excited quantum state does not decay exponentially is inadequate. We discuss the “exponentialness” of quantum decay and its potential application in high frequency nano–electronics, that in a small sample, the magnitude of “quantum inductance” could be comparable to that of the inductance of familiar, classical, electrical magnetic origin, as it has been experimentally observed.

We show that the lack of full periodicity in quasi crystal’s lattice potential and the narrow “bands” that follow may enhance the electron phonon interaction in the sample. This enhanced interaction is more directly and primarily responsible than the geometrical aperiodicity in affecting the electrical transport in quasi crystals, as verified by the experimental findings from quasi crystals.

We discuss the physical cause of the negative thermal expansion of ice. Our mean field theory study is in rough agreement with the experimental result.

We show the limit for a successful experimental detection of the smallest magnitude DC electrical current as allowed by the uncertainty principle to be ~ 10^-10 Amp, a limit which may not be reached in a thermal dissipative environment.

We show that, in addition to what has been previously studied, there is quantum noise in a current passing through a tunneling device. We show that the noise spectrum is functionally related to the device’s tunneling time, providing thereby another possible means to experimentally determine the device’s tunneling time.

We model the glass transition as a spin glass-like transition among the two level tunneling systems coupled together via the elastic dipolar interaction by comparing the acoustic attenuation length in the two level system with that in the glass–forming viscous liquid, establishing therefrom quantitatively a connection between the glass transition and the dynamics of two level tunneling systems to find a good estimate for the glass transition temperature from the inter–two level tunneling system coupling strength, the results verified in 24 different glasses.

We discuss a connection between the glass transition and the low temperature properties of glass by examining the elastic dipolar interactions among the two level tunneling systems in glass, suggesting the glass transition to be a spin glass transition–like phase transition among the two level tunneling systems in glass.

We show theoretically that there might be a Josephson–like effect between two superconducting probes above their Tc supported by thermal fluctuations. The fluctuating relative phase between two sides of the tunneling barrier does not average out the Josephson current. The magnitude of the estimated thermal fluctuating Josephson current may be within reach for reasonable parameters of the sample.

We discuss a connection between the glass transition and the low temperature properties of glass by examining the elastic dipolar interactions among the two level tunneling systems in glass, suggesting the glass transition to be a spin glass transition–like phase transition among the two level tunneling systems in glass, pointing out that this connection could lead to finite size effect in glass transition, as experimentally observed.

We study the axial thermal expansion of fiber glass, relate that to the two level tunneling systems inter–coupled via the short range elastic interaction in glass fibers, and compare the result with the experimental finding.

We point out that, in quantum mechanics, the Ohm’s law cannot exist as a proportional relation between the current and voltage operators. For this reason there will in general be deviations or fluctuations in current and voltage around their Ohm’s law values which will appear as quantum noises.

We show that a small, non–superconducting, nonmagnetic, metallic object may still exhibit superconducting behaviors resulting from thermal superconducting fluctuations. Our work provides an alternative interpretation for the experimental results of Lévy, Dolan, Dunsmuir, and Bouchiat assuming copper has a negative superconducting phase transition temperature of Tc = −4.3 mK.

Landau and Lifshitz predicted a large decrease of the speed of sound and a significant attenuation of sound wave when the wave passes through a liquid containing its own vapor bubbles; experimentally these were not seen. We show that this was because Landau and Lifshitz failed to consider the nonzero amount of time needed for the vapor to liquid phase transition to take place. A revised theory with this taken into account agrees better with the experimental results.

We show that a small, neutral, metallic cone has a nonzero electric dipole moment due to inhomogeneous quantum confinement.