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An analysis of the analytical solution of the Schr\"{o}dinger equation (which is a second order differential equation) for $H_2^+$ shows that the second linear independent solution of this equation is a square integrable function and…

Quantum Physics · Physics 2007-05-23 Alexander V. Mitin

In diffraction experiments with particle beams, several effects lead to a fringe visibility reduction of the interference pattern. We theoretically describe the intensity one can measure in a double-slit setup and compare the results with…

Quantum Physics · Physics 2007-05-23 R. Tumulka , A. Viale , N. Zanghi

In this Thesis I present a double slit experiment where two undistinguishable photons produced by type I PDC are sent each to a well defined slit. Data about the diffraction and interference patterns for coincidences are presented and…

Quantum Physics · Physics 2008-01-14 Giuseppe Falzetta

We find a uniform semiclassical (SC) wave function describing coherent branched flow through a two-dimensional electron gas (2DEG), a phenomenon recently discovered by direct imaging of the current using scanned probed microscopy. The…

Chaotic Dynamics · Physics 2009-11-07 Jiri Vanicek , Eric J. Heller

An exact analogy between wave mechanics in quantum theory and the scalar wave treatment of optics emerges from the marriage of Newtonian formulation of geometrical optics [1] and the ``formal quantum theory of light rays'' [2]. Here the…

General Physics · Physics 2025-09-26 Sayanho Biswas , Kolahal Bhattacharya

An exploratory study of two-particle wave function is carried out with a four dimensional simple model. The wave functions not only for two-particle ground and first excited states but also for an unstable state are calculated from three-…

High Energy Physics - Lattice · Physics 2009-11-10 T. Yamazaki

The traditional analysis of the basic version of the double-slit experiment leads to the conclusion that wave-particle duality is a fundamental fact of nature. However, such a conclusion means to imply that we are not only required to have…

Quantum Physics · Physics 2021-07-09 Arkady Bolotin

We present an alternative formulation of quantum decoherence theory using conditional wave theory (CWT), which was originally developed in molecular physics (also known as exact factorisation methods). We formulate a CWT of a classic model…

Quantum Physics · Physics 2021-10-04 Rory van Geleuken , Andrew V. Martin

Parallel slit-slit devices are commonly used to measure the transverse emittance of a particle beam, selecting a portion of the beam with the front slit and measuring the angular distribution with the rear. This paper calculates the effect…

Accelerator Physics · Physics 2016-01-12 Richard D'Arcy , Alexander Shemyakin

In a double slit interference experiment, the wave function at the screen with both slits open is not exactly equal to the sum of the wave functions with the slits individually open one at a time. The three scenarios represent three…

Quantum Physics · Physics 2014-09-23 Rahul Sawant , Joseph Samuel , Aninda Sinha , Supurna Sinha , Urbasi Sinha

We study the dynamics of the matter-wave soliton interacting with a vibrating mirror created by an evanescent light and provide a quantum scattering picture for the time-domain diffraction of the matter-wave soliton. Under…

Pattern Formation and Solitons · Physics 2023-11-07 Peng Gao , Jie Liu

A robust and streamlined method is presented for efficiently extracting spectral diffusion from two-dimensional coherent spectra by employing the projection-slice theorem. The method is based on the optical Bloch equations for a single…

Optics · Physics 2025-10-30 Cesar Perez , Steven Cundiff

Using spin-density-functional theory, we study the electronic states of a two-dimensional parabolic quantum dot with up to N=58 electrons. We observe a shell structure for the filling of the dot with electrons. Hund's rule determines the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Kenji Hirose , Ned S. Wingreen

Shahriar S. Afshar claimed that his 2007 modified version of the double-slit experiment violates complementarity [1]. He makes two modifications to the standard double-slit experiment. First, he adds a wire grid that is placed in between…

Quantum Physics · Physics 2022-07-13 Bret Gergely , Herman Batelaan

The interference pattern in electron double-slit diffraction is a hallmark of quantum mechanics. A long standing question for stochastic electrodynamics (SED) is whether or not it is capable of reproducing such effects, as interference is a…

Quantum Physics · Physics 2021-05-17 Wayne Cheng-Wei Huang , Herman Batelaan

It was recently proposed that the fringe visibility in the interference pattern of a double-slit diffraction experiment with a HeNe laser beam was reduced as a consequence of the focused attention of participants on the double-slit that…

Quantum Physics · Physics 2015-07-10 Fotini Pallikari

The generally accepted view in quantum theory is that information about which way the quantum system traveled and interference visibility are complementary. In all which-way experiments, however, an intervention takes place in the…

Quantum Physics · Physics 2007-05-23 Johan Wulleman

Self-interference embodies the essence of the particle-wave interpretation of quantum mechanics (QM). According to the Copenhagen particle-wave interpretation of QM, self-interference by a double slit requires a large transverse coherence…

Quantum Physics · Physics 2018-05-23 Ivano Tavernelli

We re-use some original ideas of de~Broglie, Schr\"odiger, Dirac and Feynman to revise the ensemble interpretation of wave function in quantum mechanics. To this end we introduce coherence (auto-concordance) of ensembles of quantum…

Quantum Physics · Physics 2025-04-25 Vladimir V. Kisil

We study the decoherence effects originating from state flipping and depolarization for two-dimensional discrete-time quantum walks using four-state and two-state particles. By quantifying the quantum correlations between the particle and…

Quantum Physics · Physics 2013-02-25 C. M. Chandrashekar , Th. Busch