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This work presents a study on the nonrelativistic quantum motion of a charged particle in a rotating frame, considering the Aharonov-Bohm effect and a uniform magnetic field. We derive the equation of motion and the corresponding radial…

The new concept of quantum wave-impedance (QWI), Z is introduced to answer the question whether there is impedance to a Schrodinger wave. Z will be an analogue of Maxwell's free space impedance (376.7 ohm) for electromagnetic waves. We…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Timir Datta , Raphael Tsu

Current models of quantum interference experiments in external gravitational fields lack a common framework: while matter-wave interferometers are commonly described using the Schr\"odinger equation with a Newtonian potential, gravitational…

General Relativity and Quantum Cosmology · Physics 2025-12-11 Thomas B. Mieling , Thomas Morling , Christopher Hilweg , Philip Walther

This paper considers the question of characterizing the behavior of waves reflected by a fractional singularity of the wave speed profile, i.e., of the form \[ c(x_1, x_2, x_3) = c_0 \left(1 + \left( \frac{x_1}{\ell}\right)_{+}^\alpha…

Analysis of PDEs · Mathematics 2023-05-09 Laurent Demanet , Olivier Lafitte

We investigate the Quantum-Electro-Dynamic properties of an atomic electron close to the focus of a spherical mirror. We first show that the spontaneous emission and excited state level shift of the atom can be fully suppressed with…

Quantum Physics · Physics 2015-05-19 G. Hétet , L. Slodicka , A. Glaetzle , M. Hennrich , R. Blatt

We consider the quantum radiation from a partially reflecting moving mirror for the massless scalar field in 1+1 Minkowski space. Partial reflectivity is achieved by localizing a delta-type potential at the mirror's position. The radiated…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Nistor Nicolaevici

We will use Fisher information to properly analyze the quantum weak equivalence principle. We argue that gravitational waves will be partially reflected by superconductors. This will occur as the violation of the weak equivalence principle…

General Relativity and Quantum Cosmology · Physics 2020-12-02 Sebastian Bahamonde , Mir Faizal , James Q. Quach , Richard A. Norte

A surprising feature of the Kerr metric is the anisotropy of the speed of light. The angular momentum of a rotating massive object causes co- and counter-propagating light paths to move at faster and slower velocities, respectively as…

General Relativity and Quantum Cosmology · Physics 2019-06-14 Sebastian P. Kish , Timothy C. Ralph

Effects associated in quantum mechanics with a divisible probability wave are explained as physically real consequences of the equal but opposite reaction of the apparatus as a particle is measured. Taking as illustration a Mach-Zehnder…

Quantum Physics · Physics 2019-04-05 Daniel Shanahan

Quantum gravitational corrections to the effective potential, at one-loop level and in the leading-log approximation, for scalar quantum electrodynamics with higher-derivative gravity ---which is taken as an effective theory for quantum…

High Energy Physics - Theory · Physics 2009-09-25 Emilio Elizalde , Sergei D. Odintsov , August Romeo

We study quantum radiation generated by a uniformly accelerated motion of small spherical mirrors. To obtain Green's function for a scalar massless field we use Wick's rotation. In the Euclidean domain the problem is reduced to finding an…

General Relativity and Quantum Cosmology · Physics 2014-11-17 V. Frolov , D. Singh

Quantum scattering in the presence of a potential valley followed by a barrier is examined for the case of a Morse potential, for which exact analytic solutions to the Schr\UNICODE{0xf6}dinger equation are known in terms of confluent…

Nuclear Theory · Physics 2009-11-07 G. Rawitscher , Cory Merow , Matthew Nguyen , Ionel Simbotin

We explore the analogy between following the motion of a reflected wave packet, and a quantum measurement of the spatial delay imposed on the particle by the scattering potential. It is shown that converting such delays into temporal…

Quantum Physics · Physics 2025-09-29 D. Sokolovski , A. Uranga , Y. Caudano

We investigate theoretically and numerically quantum reflection of dark solitons propagating through an external reflectionless potential barrier or in the presence of a position-dependent dispersion. We confirm that quantum reflection…

Pattern Formation and Solitons · Physics 2022-01-11 L. Al Sakkaf , T. Uthayakumar , U. Al Khawaja

We consider an optical cavity enclosed by a freely moving mirror attached to a spring and we study the quantum friction effect exerted by the dynamical Casimir emission on the mechanical motion of the mirror. Observable signatures of this…

Quantum Physics · Physics 2019-05-21 Salvatore Butera , Iacopo Carusotto

In this work, we investigate the effects of rotation on the physical properties of a quantum dot described by a radial potential and subjected to a rotating reference frame. The interplay between rotation and confinement is analyzed by…

Mesoscale and Nanoscale Physics · Physics 2025-10-28 Luís Fernando C. Pereira , Edilberto O. Silva

The physical origin is investigated of Robin boundary conditions for wave functions at an infinite reflecting wall. We consider both Schr\"odinger and phase-space quantum mechanics (a.k.a. deformation quantization), for this simple example…

Quantum Physics · Physics 2015-05-18 B. Belchev , M. A. Walton

For the first time a rigorous quantum treatment of the Landau-Pomeranchuk-Migdal effect in QED and QCD is given. The rate of photon (gluon) radiation by an electron (quark) in medium is expressed through the Green's function of a…

High Energy Physics - Phenomenology · Physics 2011-05-05 B. G. Zakharov

Liouville transformations map in a rigorous manner one Schr\"odinger equation into another, with a changed scattering potential. They are used here to transform quantum reflection of an atom on an attractive well into reflection of the atom…

Quantum Physics · Physics 2015-05-27 Gabriel Dufour , Romain Guérout , Astrid Lambrecht , Serge Reynaud

Frame-dragging effect manifests itself as polarization direction rotation when linearly polarized electromagnetic/gravitational wave scatters from a spinning point source through gravitational interactions, an effect also known as the…

High Energy Physics - Theory · Physics 2022-10-21 Jung-Wook Kim