Scattering States in Conformally Invariant Quantum Mechanics

1993 ◽  
Vol 225 (2) ◽  
pp. 212-228 ◽  
Author(s):  
V. Barone ◽  
V. Penna ◽  
P. Sodano
Keyword(s):  
Quantum Mechanics ◽  
Conformally Invariant ◽  
Scattering States ◽  
Invariant Quantum

THE QUANTUM MECHANICS OF AN N=1 SUPERPARTICLE IN AN EXTENDED SUPERSPACE

1990 ◽  
Vol 05 (18) ◽  
pp. 1399-1409 ◽  
Author(s):  
MICHAEL B. GREEN ◽  
CHRISTOPHER M. HULL
Keyword(s):  
Quantum Mechanics ◽  
Finite Number ◽  
Gauge Fields ◽  
Yang Mills ◽  
Brst Cohomology ◽  
Covariant Gauge ◽  
Light Cone Quantization ◽  
Local Symmetries ◽  
Invariant Quantum ◽  
Extended Superspace

A new ten-dimensional superparticle action with local symmetries implemented via gauge fields is formulated in a superspace with an extra anticommuting space-time spinor coordinate. Light-cone quantization gives the spectrum of N=1 super-Yang-Mills. Covariant gauge choices in which the gauge fields are set to constants lead to free BRST-invariant quantum actions. Possible ghost systems include one with only a finite number of ghosts and several with an infinite number. In each case, the BRST cohomology class of zero ghost number gives the spectrum of N=1 super-Yang-Mills.

scholarly journals Poincaré-covariant quark model of electroweak light mesons decays

2019 ◽  
Vol 204 ◽  
pp. 08006 ◽  
Author(s):  
Viktor Andreev ◽  
Vadzim Haurysh
Keyword(s):  
Quantum Mechanics ◽  
Vector Meson ◽  
Quark Model ◽  
Radiative Decay ◽  
Mixing Angles ◽  
Decay Constants ◽  
Point Form ◽  
Experimental Decay ◽  
Invariant Quantum ◽  
Covariant Quark Model

The procedure for obtaining the radiative decay constants of pseudoscalar and vector unflavored mesons in point–form of Poincaré-invariant quantum mechanics is presented. In the course of the work the authors determine the remaining parameters from V → Pγ and P → Vγ experimental decay value, using the obtained earlier parameters of the model for light (u, d and s) quarks. As a result, the mixing angles for pseudoscalar and vector meson sector were obtained taking into account gluonium content for η – η′ meson sector.

A class of conformally invariant quantum field theories

1983 ◽  
Vol 125 (4) ◽  
pp. 301-304 ◽  
Author(s):  
E. Braaten ◽  
T. Curtright ◽  
G. Ghandour ◽  
C. Thorn
Keyword(s):  
Field Theories ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Conformally Invariant ◽  
Invariant Quantum

scholarly journals Leaky Modes of Waveguides as a Classical Optics Analogy of Quantum Resonances

2015 ◽  
Vol 2015 ◽  
pp. 1-10 ◽  
Author(s):  
Sara Cruz y Cruz ◽  
Oscar Rosas-Ortiz
Keyword(s):  
Quantum Mechanics ◽  
Short Range ◽  
Bound States ◽  
Waveguide Structure ◽  
One Dimensional ◽  
Leaky Modes ◽  
Scattering States ◽  
Quantum Resonances ◽  
Zone Of Influence ◽  
Square Well

A classical optics waveguide structure is proposed to simulate resonances of short range one-dimensional potentials in quantum mechanics. The analogy is based on the well-known resemblance between the guided and radiation modes of a waveguide with the bound and scattering states of a quantum well. As resonances are scattering states that spend some time in the zone of influence of the scatterer, we associate them with the leaky modes of a waveguide, the latter characterized by suffering attenuation in the direction of propagation but increasing exponentially in the transverse directions. The resemblance is complete because resonances (leaky modes) can be interpreted as bound states (guided modes) with definite lifetime (longitudinal shift). As an immediate application we calculate the leaky modes (resonances) associated with a dielectric homogeneous slab (square well potential) and show that these modes are attenuated as they propagate.

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