Generic short-time propagation of sharp-boundaries wave packets
Er'el Granot,Avi Marchewka +1 more
Reads0
Chats0
TLDR
In this article, the propagation of an arbitrary initially bounded wave function is investigated and the general solution for any such function is formulated, and the exact solution can be written as an expression that depends only on the values of the function and its derivatives at the boundaries.Abstract:
A general solution to the shutter problem is presented. The propagation of an arbitrary initially bounded wave function is investigated, and the general solution for any such function is formulated. It is shown that the exact solution can be written as an expression that depends only on the values of the function (and its derivatives) at the boundaries. In particular, it is shown that at short times (t << 2mx2/, where x is the distance to the boundaries) the wave function propagation depends only on the wave function's values (or its derivatives) at the boundaries of the region. Finally, we generalize these findings to a non-singular wave function (i.e., for wave packets with finite-width boundaries) and suggest an experimental verification.read more
Citations
More filters
Journal ArticleDOI
Time modulation of atom sources
TL;DR: In this paper, the analytical dynamics of noninteracting bosons arising with different aperture functions are discussed systematically for switching-on processes and for single and many-pulse formation procedures, and the possibility and timescale of a revival of the diffraction-in-time pattern is also analysed.
Journal ArticleDOI
Single-Slit Focusing and Its Representations
TL;DR: In this paper, the authors illustrate the focusing of a freely propagating rectangular wave packet using three different tools: (1) the time-dependent wave function in position space, (2) the Wigner phase-space approach, and (3) an experiment using laser light.
Journal ArticleDOI
Transient effects and reconstruction of the energy spectra in the time evolution of transmitted Gaussian wave packets
TL;DR: In this article, the authors derived an analytical solution to the time-dependent Schr?dinger equation for the transmission of a Gaussian wave packet through an arbitrary potential of finite range.
Journal ArticleDOI
Generic pattern formation of sharp-boundaries pulses propagation in dispersive media
TL;DR: In this article, the generic dynamics of singular quantum mechanics wave functions was applied to sharp-boundaries pulses propagation in short dispersive medium and an analytical expression for the propagation of a smooth rectangular pulse in dispersion medium was derived.
Journal ArticleDOI
Emergence of currents as a transient quantum effect in nonequilibrium systems
Er'el Granot,Avi Marchewka +1 more
TL;DR: In this article, it is shown that the emerging current appears instantaneously, and although the density beyond the discontinuity is initially negligible the currents there have a finite value, and remain constant for a finite period.
References
More filters
Book
The Fourier Transform and Its Applications
TL;DR: In this paper, the authors provide a broad overview of Fourier Transform and its relation with the FFT and the Hartley Transform, as well as the Laplace Transform and the Laplacian Transform.
Journal ArticleDOI
The Fourier transform
TL;DR: The Fourier transform is a function that describes the amplitude and phase of each sinusoid, which corresponds to a specific frequency, which has become a powerful tool in diverse fields of science.
Journal ArticleDOI
Measurement of the phase of few-cycle laser pulses.
Gerhard G. Paulus,Fabrizio Lindner,Herbert Walther,Andrius Baltuška,Eleftherios Goulielmakis,Matthias Lezius,Ferenc Krausz +6 more
TL;DR: In this paper, it was demonstrated that the direction of electron emission from photoionized atoms can be controlled by varying the phase of the field, providing for the first time a tool for its accurate determination.
Journal ArticleDOI
Atomic Wave Diffraction and Interference Using Temporal Slits.
TL;DR: The observation of this temporal diffraction effect for de Broglie atomic waves is reported, and it is shown that the results are in good agreement with the quantum mechanics prediction.