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We present a fully local treatment of the double slit experiment in the formalism of quantum field theory. Our exposition is predominantly pedagogical in nature and exemplifies the fact that there is an entirely local description of the…

Quantum Physics · Physics 2021-04-26 Vlatko Vedral

To quantify the effect of decoherence in quantum measurements, it is desirable to measure not merely the square modulus of the spatial wavefunction, but the entire density matrix, whose phases carry information about momentum and how pure…

Quantum Physics · Physics 2009-10-30 Max Tegmark

Interference of more and more massive objects provides a spectacular confirmation of quantum theory. It is usually regarded as support for "wave-particle duality" and in an extension of this duality even as support for "complementarity". We…

Quantum Physics · Physics 2022-03-17 Lukas Mairhofer , Oliver Passon

We study effects of electron-electron interactions and confinement potential on the magneto-optical absorption spectrum in the far-infrared range of lateral quantum dot molecules. We calculate far-infrared (FIR) spectra for three different…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 M. Helle , A. Harju , R. M. Nieminen

We investigate thin-slit diffraction problems for two-dimensional lattice waves. The peculiar structure allows us to consider the problems on the semi-infinite triangular lattice, consequently, we study Dirichlet problems for the…

Mathematical Physics · Physics 2022-07-12 David Kapanadze , Ekaterina Pesetskaya

It is commonly assumed that the observation of an interference pattern is incompatible with any information about the path taken by a quantum particle. Here we show that, contrary to this assumption, the experimentally observable effects of…

Quantum Physics · Physics 2023-12-04 Holger F. Hofmann , Tomonori Matsushita , Shunichi Kuroki , Masataka Iinuma

We argue that the double-slit experiment can be understood much better by considering it as an experiment whereby one uses electrons to study the set-up rather than an experiment whereby we use a set-up to study the behaviour of electrons.…

General Physics · Physics 2017-05-12 Gerrit Coddens

This paper deals with the theory of collisions between two ultracold particles with a special focus on molecules. It describes the general features of the scattering theory of two particles with internal structure, using a time-independent…

Atomic Physics · Physics 2017-03-28 Goulven Quéméner

Two-photon interference underlies the functioning of many quantum photonics devices. It also serves as the prominent tool for testing the indistinguishability of distinct photons. However, as their time-spectral profile becomes more…

The five laws of relativistic quantum mechanics, according to Feynman's path integral formulation, are concisely stated and applied to experiments. Reflection diffraction grating experiments for both photons and electrons are analysed, in…

Quantum Physics · Physics 2015-06-17 J. H. Field

Two well-known conceptual conundrums of quantum mechanics referred to as instantaneous action-at-a-distance and inseparable wave-particle character are tackled using the principle of least action. Since any measurement is an action, it is…

Quantum Physics · Physics 2010-06-03 Arto Annila , Tarja Kallio-Tamminen

Atomic diffraction through double slits and transmission gratings is well described in terms of the associated de Broglie waves and classical wave optics. However, for weakly bound and relatively large systems, such as the He_2 dimer, this…

Quantum Physics · Physics 2009-10-30 Gerhard C. Hegerfeldt , Thorsten Koehler

The act of measurement on a quantum state is supposed to "collapse" the state into one of several eigenstates of the operator corresponding to the observable being measured. This measurement process is sometimes described as outside…

Quantum Physics · Physics 2021-10-26 Satish Ramakrishna

In this paper, we revisit the classic problem of diffraction of electromagnetic waves by an aperture in a perfectly conducting plane. We formulate the diffraction problem using a boundary integral equation that is defined on the aperture…

Analysis of PDEs · Mathematics 2023-10-16 Ying Liang , Hai Zhang

We determine two-particle scattering phase shifts and mixing angles for quantum theories defined with lattice regularization. The method is suitable for any nonrelativistic effective theory of point particles on the lattice. In the…

Nuclear Theory · Physics 2008-11-26 Bugra Borasoy , Evgeny Epelbaum , Hermann Krebs , Dean Lee , Ulf-G. Meißner

Wave-particle duality is one of the most intriguing counterfactual concepts in quantum theory. In our common sense, the wave and particle properties of a quantum object are inseparable. However, the recent studies based on Quantum Cheshire…

Quantum Physics · Physics 2024-04-19 Yusuf Turek , Yi-Fang Ren

Differential cross sections of nuclear reactions often exhibit characteristic oscillations in the angular distribution originated from an interference of two indistinguishable processes. Here we propose a novel method to visualize origins…

Nuclear Theory · Physics 2023-09-20 K. Hagino , T. Yoda

We cast diffraction-based interferometry in the framework of post-selected unitary description towards enabling it as a platform for quantum information processing. We express slit-diffraction as an infinite-dimensional transformation and…

Quantum Physics · Physics 2021-09-17 Simanraj Sadana , Barry C. Sanders , Urbasi Sinha

Some modified two-slit interference experiments were carried out showing an apparent paradox in wave-particle duality. In a typical such experiment, the screen, where the interference pattern is supposed to be formed, is replaced by a…

Quantum Physics · Physics 2023-04-05 Tabish Qureshi

We formulate the Schr\"odinger equation as the equation of motion of a small external influence which serves as the initial boundary condition of a physical system in classical laboratory space. The Hilbert space of possible external…

Quantum Physics · Physics 2011-04-12 R. Schuster
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