scholarly journals Transverse Momentum Distribution of Atoms in an Interferometer

2001 ◽  
Vol 56 (1-2) ◽  
pp. 173-177 ◽  
Author(s):  
Mirijana Božić ◽  
Dušan Arsenović ◽  
Lepša Vušković
Keyword(s):  
Wave Function ◽  
Transverse Momentum ◽  
Momentum Distribution ◽  
Quantum Interference ◽  
Transverse Momentum Distribution ◽  
Wave Functions ◽  
Transverse Motion ◽  
One Dimensional ◽  
Dimensional Wave

Abstract From the stationary solution of Schrödinger's equation in an interferometer we derive the wave functions of the longitudinal and the transverse motion. The former function is a plane wave. The wave function of the transverse motion is a one dimensional wave packet representing a super­ position of components with various values of the particles transverse momentum. The particles transverse momentum distribution in an interferometer is time independent and is determined by the aperture wave function. Consequently, it is independent of the distance from the slits. As such, it is a very important characteristic of the quantum state. Experimental determination of the mo­ mentum distribution would support the particle and wave interpretation of quantum interference in a new manner.

scholarly journals TRANSVERSE MOMENTUM DISTRIBUTION IN THE B MESONS IN THE HEAVY-QUARK LIMIT: THE WANDZURA–WILCZEK PART

2003 ◽  
Vol 18 (11) ◽  
pp. 799-805 ◽  
Author(s):  
HIROYUKI KAWAMURA ◽  
JIRO KODAIRA ◽  
CONG-FENG QIAO ◽  
KAZUHIRO TANAKA
Keyword(s):  
Transverse Momentum ◽  
Heavy Quark ◽  
Momentum Distribution ◽  
B Mesons ◽  
Equations Of Motion ◽  
Transverse Momentum Distribution ◽  
Wave Functions ◽  
Effective Theory ◽  
Longitudinal Momentum ◽  
Heavy Quark Limit

In the heavy-quark limit, the valence Fock-state components in the B mesons are described by a set of two light-cone wave functions. We show that these two wave functions obey simple coupled differential equations, which are based on the equations of motion in the Heavy Quark Effective Theory (HQET), and the analytic solutions for them are obtained. The results generalize the recently obtained longitudinal-momentum distribution in the Wandzura–Wilczek approximation by including the transverse momenta. We find that the transverse momentum distribution depends on the longitudinal momentum of the constituents, and that the wave functions damp very slowly for large transverse separation between quark and antiquark.

scholarly journals Full O(αS) evaluation of b→sγ transverse momentum distribution

2004 ◽  
Vol 585 (1-2) ◽  
pp. 131-143 ◽  
Author(s):  
Ugo Aglietti ◽  
Roberto Sghedoni ◽  
Luca Trentadue
Keyword(s):  
Transverse Momentum ◽  
Momentum Distribution ◽  
Transverse Momentum Distribution

scholarly journals DISTRIBUTION OF MAXIMA OF THE ANTISYMMETRIZED WAVE FUNCTION FOR THE NUCLEONS OF A CLOSED-SHELL AND FOR THE NUCLEONS OF ALL CLOSED-SHELLS IN A NUCLEUS.

2020 ◽  
Vol 15 ◽  
pp. 57
Author(s):  
G. S. Anagnostatos
Keyword(s):  
Wave Function ◽  
Mathematical Problem ◽  
Closed Shell ◽  
Wave Functions ◽  
Pictorial Representation ◽  
One Dimensional ◽  
Regular Polyhedra ◽  
Closed Shell Nuclei ◽  
Simple Systems ◽  
Closed Shells

The significant features of exchange symmetry are displayed by simple systems such as two identical, spinless fermions in a one-dimensional well with infinite walls. The conclusion is that the maxima of probability of the antisymmetrized wave function of these two fermions lie at the same positions as if a repulsive force (of unknown nature) was applied between these two fermions. This conclusion is combined with the solution of a mathematical problem dealing with the equilibrium of identical repulsive particles (of one or two kinds) on one or more spheres like neutrons and protons on nuclear shells. Such particles are at equilibrium only for specific numbers of particles and, in addition, if these particles lie on the vertices of regular polyhedra or their derivative polyhedra. Finally, this result leads to a pictorial representation of the structure of all closed shell nuclei. This representation could be used as a laboratory for determining nuclear properties and corresponding wave functions.

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