Approximation of semiclassical expectation values by symplectic Gaussian wave packet dynamics
Sign Up to like & getrecommendations! Published in 2021 at "Letters in Mathematical Physics"
DOI: 10.1007/s11005-021-01462-6
Abstract: This paper concerns an approximation of the expectation values of the position and momentum of the solution to the semiclassical Schr\"odinger equation with a Gaussian as the initial condition. Of particular interest is the approximation… read more here.
Keywords: wave packet; approximation; expectation values; expectation ... See more keywords
Computer model of the two-pinhole interference experiment using two-dimensional Gaussian wave-packets
Sign Up to like & getrecommendations! Published in 2019 at "Physica Scripta"
DOI: 10.1088/1402-4896/ab1547
Abstract: The two-slit interference experiment has been modelled a number of times using Gaussian wave-packets and the Bohm-de Broglie causal interpretation. Here we consider the experiment with pinholes instead of slits and model the experiment in… read more here.
Keywords: interference experiment; dimensional gaussian; wave packets; two dimensional ... See more keywords
Scalar scattering amplitude in the Gaussian wave-packet formalism
Sign Up to like & getrecommendations! Published in 2020 at "Progress of Theoretical and Experimental Physics"
DOI: 10.1093/ptep/ptaa127
Abstract: We compute an $s$-channel $2\to2$ scalar scattering $\phi\phi\to\Phi\to\phi\phi$ in the Gaussian wave-packet formalism at the tree-level. We find that wave-packet effects, including shifts of the pole and width of the propagator of $\Phi$, persist even… read more here.
Keywords: wave packet; scalar scattering; phi; gaussian wave ... See more keywords
Particle decay in Gaussian wave-packet formalism revisited
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DOI: 10.1093/ptep/pty127
Abstract: We derive the Fermi's golden rule in the Gaussian wave-packet formalism of quantum field theory, proposed by Ishikawa, Shimomura, and Tobita, for the particle decay within a finite time interval. We present a systematic procedure… read more here.
Keywords: particle decay; wave packet; gaussian wave; packet formalism ... See more keywords
Evolution of Gaussian wave packets in capillary jets.
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DOI: 10.1103/physreve.100.053111
Abstract: A temporal analysis of the evolution of Gaussian wave packets in cylindrical capillary jets is presented through both a linear two-mode formulation and a one-dimensional nonlinear numerical scheme. These analyses are normally applicable to arbitrary… read more here.
Keywords: evolution gaussian; wave packets; packets capillary; capillary jets ... See more keywords