The Autogenetic Universe Theory Quantum Reduction and Singularities as Inverse Transitions: Into and Out of the Chrono-Ontological Format of Facticity

2018 ◽  
pp. 1-10
Author(s):  
Albrecht von Müller ◽  
Elias Zafiris
Keyword(s):  
Quantum Reduction

Characters and quantum reduction for orthosymplectic Lie superalgebras

2021 ◽  
Author(s):  
Namhee Kwon
Keyword(s):  
Lie Superalgebra ◽  
Lie Superalgebras ◽  
Character Formula ◽  
Quantum Reduction

In this study, we study principal admissible representations for the affine Lie superalgebra [Formula: see text]. Using the character formula of irreducible admissible representations of [Formula: see text], we calculate a character formula of [Formula: see text]-modules which are obtained from the quantized Drinfeld–Sokolov reduction and principal admissible representations. As a by-product, we obtain the minimal series modules of the Neveu–Schwarz algebra through the [Formula: see text]-modules arising from the principal admissible modules over [Formula: see text].

scholarly journals REDUCTION AND UNFOLDING FOR QUANTUM SYSTEMS: THE HYDROGEN ATOM

2005 ◽  
Vol 02 (06) ◽  
pp. 1043-1062 ◽  
Author(s):  
ANTONELLA D'AVANZO ◽  
GIUSEPPE MARMO ◽  
ALESSANDRO VALENTINO
Keyword(s):  
Hydrogen Atom ◽  
Differential Operators ◽  
Quantum Systems ◽  
Harmonic Oscillators ◽  
Reduction Procedure ◽  
Quantum Reduction

In this paper we propose a "quantum reduction procedure" based on the reduction of algebras of differential operators on a manifold. We use these techniques to show, in a systematic way, how to relate the hydrogen atom to a family of quantum harmonic oscillators, by the means of the Kustaahneimo–Stiefel fibration.

scholarly journals A quantum reduction to spherical symmetry in loop quantum gravity

2015 ◽  
Vol 747 ◽  
pp. 18-21 ◽  
Author(s):  
N. Bodendorfer ◽  
J. Lewandowski ◽  
J. Świeżewski
Keyword(s):  
Quantum Gravity ◽  
Spherical Symmetry ◽  
Loop Quantum Gravity ◽  
Quantum Reduction

scholarly journals Quantum reduction and representation theory of superconformal algebras

2004 ◽  
Vol 185 (2) ◽  
pp. 400-458 ◽  
Author(s):  
Victor G. Kac ◽  
Minoru Wakimoto
Keyword(s):  
Representation Theory ◽  
Quantum Reduction
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