The Entropic Dynamics Approach to Quantum Mechanics [PDF]
Entropy, 2019 Entropic Dynamics (ED) is a framework in which Quantum Mechanics is derived as an application of entropic methods of inference. In ED the dynamics of the probability distribution is driven by entropy subject to constraints that are codified into a ...
Ariel Caticha
doaj +2 more sources
Reduction of $L_\infty$-Algebras of Observables on Multisymplectic Manifolds [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2022 We develop a reduction scheme for the $L_\infty$-algebra of observables on a premultisymplectic manifold $(M,\omega)$ in the presence of a compatible Lie algebra action $\mathfrak{g}\curvearrowright M$ and subset $N\subset M$.
C. Blacker +2 more
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Symplectic Geometry and Circuit Quantization [PDF]
PRX Quantum, 2023 Circuit quantization is an extraordinarily successful theory that describes the behavior of quantum circuits with high precision. The most widely used approach of circuit quantization relies on introducing a classical Lagrangian whose degrees of freedom ...
A. Osborne +5 more
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Entropic Dynamics: Quantum Mechanics from Entropy and Information Geometry [PDF]
, 2017 Entropic Dynamics (ED) is a framework in which Quantum Mechanics (QM) is derived as an application of entropic methods of inference. The magnitude of the wave function is manifestly epistemic: its square is a probability distribution.
A. Caticha
semanticscholar +1 more source
Deformation quantization in the teaching of Lie group representations [PDF]
, 2017 In this work, we present straightforward and concrete computations of the unitary irreducible representations of the Euclidean motion group $M(2)$ employing the methods of deformation quantization.
A. J. Balsomo, Job A. Nable
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Einstein gravity in almost Kähler and Lagrange–Finsler variables and deformation quantization [PDF]
, 2007 A geometric procedure is elaborated for transforming (pseudo) Riemannian metrics and connections into canonical geometric objects (metric and nonlinear and linear connections) for effective Lagrange, or Finsler, geometries which, in turn, can be ...
S. Vacaru
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Rankin-Cohen brackets and formal quantization [PDF]
, 2005 In this paper, we use the theory of deformation quantization to understand Connes' and Moscovici's results [A. Connes, H. Moscovici, Rankin-Cohen brackets and the Hopf algebra of transverse geometry, Mosc. Math. J. 4 (1) (2004) 111-130, 311].
P. Bieliavsky, Xiang Tang, Yi-jun Yao
semanticscholar +1 more source
On Transversally Elliptic Operators and the Quantization of Manifolds with f-Structure [PDF]
, 2011 Given an f-structure $${\varphi}$$ on a manifold M, together with a compatible metric g and connection $${\nabla}$$ on M, we construct an odd firstorder differential operator D whose principal symbol is of the type considered in [13]. In the special case
Sean Fitzpatrick
semanticscholar +1 more source
The Moduli Spaces of Parabolic Connections with a Quadratic Differential and Isomonodromic Deformations [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2017 In this paper, we study the moduli spaces of parabolic connections with a quadratic differential. The moduli spaces are considered as extended phase spaces of isomonodromic deformation systems.
Arata Komyo
semanticscholar +1 more source
Constrained systems, generalized Hamilton-Jacobi actions, and quantization [PDF]
The Journal of Geometric Mechanics, 2020 Mechanical systems (i.e., one-dimensional field theories) with constraints are the focus of this paper. In the classical theory, systems with infinite-dimensional targets are considered as well (this then encompasses also higher-dimensional field ...
A. Cattaneo, P. Mnev, K. Wernli
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