An E6⊗U(1) invariant quantum mechanics for a Jordan pair

1982 ◽  
Vol 23 (7) ◽  
pp. 1327-1345 ◽  
Author(s):  
P. Truini ◽  
L. C. Biedenharn
Keyword(s):  
Quantum Mechanics ◽  
Jordan Pair ◽  
Invariant Quantum

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.

scholarly journals Twist deformation of rotationally invariant quantum mechanics

2010 ◽  
Vol 51 (11) ◽  
pp. 112102 ◽  
Author(s):  
B. Chakraborty ◽  
Z. Kuznetsova ◽  
F. Toppan
Keyword(s):  
Quantum Mechanics ◽  
Rotationally Invariant ◽  
Invariant Quantum

THE RIEMANN HYPOTHESIS IS A CONSEQUENCE OF $\mathcal{CT}$-INVARIANT QUANTUM MECHANICS

2008 ◽  
Vol 05 (01) ◽  
pp. 17-32
Author(s):  
CARLOS CASTRO PERELMAN
Keyword(s):  
Quantum Mechanics ◽  
Riemann Hypothesis ◽  
Mellin Transform ◽  
Theta Series ◽  
Infinite Family ◽  
Continuous Family ◽  
Nontrivial Zeros ◽  
The Riemann Zeta Function ◽  
Riemann Zeta ◽  
Invariant Quantum

The Riemann's hypothesis (RH) states that the nontrivial zeros of the Riemann zeta-function are of the form sn = 1/2 + iλn. By constructing a continuous family of scaling-like operators involving the Gauss–Jacobi theta series and by invoking a novel [Formula: see text]-invariant Quantum Mechanics, involving a judicious charge conjugation [Formula: see text] and time reversal [Formula: see text] operation, we show why the Riemann Hypothesis is true. An infinite family of theta series and their Mellin transform leads to the same conclusions.

scholarly journals Angular invariant quantum mechanics in arbitrary dimension

2013 ◽  
Vol 35 (3) ◽  
Author(s):  
Sergio Giardino
Keyword(s):  
Quantum Mechanics ◽  
Arbitrary Dimension ◽  
Free Particle ◽  
Whittaker Functions ◽  
One Dimensional ◽  
Dirac Delta ◽  
Finite Barrier ◽  
Dirac Delta Potential ◽  
Invariant Quantum ◽  
Infinite Potential Well

One dimensional quantum mechanics problems, namely the infinite potential well, the harmonic oscillator, the free particle, the Dirac delta potential, the finite well and the finite barrier are generalized for finite arbitrary dimension in a radially symmetric, or angular invariant, manner. This generalization enables the Schrödinger equation solutions to be visualized for Bessel functions and Whittaker functions, and it also enables connections to multi-dimensional physics theories, like string theory.

scholarly journals ELECTROMAGNETIC FORM FACTORS OF PSEUDOSCALAR MESONS

2017 ◽  
Vol 17 (2) ◽  
pp. 148-163
Author(s):  
V.V. Andreev ◽  
A.F. Krutov
Keyword(s):  
Quantum Mechanics ◽  
Quark Model ◽  
Form Factors ◽  
Electromagnetic Form Factors ◽  
Mean Square ◽  
Pseudoscalar Mesons ◽  
Self Consistent ◽  
Point Form ◽  
Invariant Quantum ◽  
Covariant Quark Model

Mean-square radii and electromagnetic form factors of light mesons are obtained in the framework of Poincare covariant quark model, which is basedon the point form of Poincare invariant quantum mechanics. Calculations areperformed with the use of the requirement of self-consistent description of electroweak properties and masses of pseudoscalar and vector mesons.

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