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56 papers · 1 filter
Quadratic Algebra Approach to Relativistic Quantum Smorodinsky-Winternitz Systems
Ian Marquette
There exist a relation between the Klein-Gordon and the Dirac equations with scalar and vector potentials of equal magnitude (SVPEM) and the Schrodinger equation. We obtain the rel…
Time operators in stroboscopic wavepacket basis and the time scales in tunneling
P. Bokes
We demonstrate that the time operator that measures the time of arrival of a quantum particle into chosen state can be defined as a self-adjoint quantum-mechanical operator using p…
Singularity theorems from weakened energy conditions
Christopher J. Fewster, Gregory J. Galloway
We establish analogues of the Hawking and Penrose singularity theorems based on (a) averaged energy conditions with exponential damping; (b) conditions on local stress-energy avera…
'Measurement of Quantum Mechanical Operators' Revisited
Leon Loveridge, Paul Busch
The Wigner-Araki-Yanase (WAY) theorem states a remarkable limitation to quantum mechanical measurements in the presence of additive conserved quantities. Discovered by Wigner in 19…
Review of AdS/CFT Integrability, Chapter VI.2: Yangian Algebra
Alessandro Torrielli
We review the study of Hopf algebras, classical and quantum R-matrices, infinite-dimensional Yangian symmetries and their representations in the context of integrability for the N=…
Review of AdS/CFT Integrability: An Overview
Niklas Beisert, Changrim Ahn, Luis F. Alday +23
This is the introductory chapter of a review collection on integrability in the context of the AdS/CFT correspondence. In the collection we present an overview of the achievements…