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Time Dynamics in Quantum Field Theory Systems 

LIll, S. (2022-12-23)
In this doctoral thesis, we develop and investigate new mathematical tools that are intended to allow for a rigorous description of non–perturbative quantum field theory (QFT) dynamics. Here, the term QFT is to be understood ...
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Extended State Space for Describing Renormalized Fock Spaces in QFT 

LIll, S. (2022-06-04)
In quantum field theory (QFT) models, it often seems natural to use, instead of wave functions from Fock space, wave functions that are not square-integrable and have prefactors involving divergent integrals (known as ...
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Classical dynamics from self-consistency equations in quantum mechanics 

Bru, J.-B.Autoridad BCAM; de Siqueira Pedra, W.Autoridad BCAM (2022-05-09)
During the last three decades, P. Bóna has developed a non-linear generalization of quantum mechanics, based on symplectic structures for normal states and offering a general setting which is convenient to study the emergence ...
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Implementing Bogoliubov Transformations Beyond the Shale-Stinespring Condition 

LIll, S. (2022-04-28)
We provide two extensions of a dense subspace of Fock space, such that Bogoliubov transformations become implementable on them, even though they violate the Shale-Stinespring condition, so they are not implementable on ...
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A b-symplectic slice theorem 

Braddell, R.; Kiesenhofer, A.; Miranda, E. (2022-01-01)
In this article, motivated by the study of symplectic structures on manifolds with boundary and the systematic study of b -symplectic manifolds started in Guillemin, Miranda, and Pires Adv. Math. 264 (2014), 864–896, we ...
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Weak* Hypertopologies with Application to Genericity of Convex Sets 

Bru, J.-B.Autoridad BCAM; de Siqueira Pedra, W.Autoridad BCAM (2022)
We propose a new class of hypertopologies, called here weak$^{\ast }$ hypertopologies, on the dual space $\mathcal{X}^{\ast }$ of a real or complex topological vector space $\mathcal{X}$. The most well-studied and well-known ...
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Entanglement of classical and quantum short-range dynamics in mean-field systems 

Bru, J. B.; de Siqueira Pedra, W.Autoridad BCAM (2021-11-01)
The relationship between classical and quantum mechanics is usually understood via the limit ħ→0. This is the underlying idea behind the quantization of classical objects. The apparent incompatibility of general relativity ...
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Another Proof of Born's Rule on Arbitrary Cauchy Surfaces 

LIll, S.; Tumulka, R. (2021-10-14)
In 2017, Lienert and Tumulka proved Born's rule on arbitrary Cauchy surfaces in Minkowski space-time assuming Born's rule and a corresponding collapse rule on horizontal surfaces relative to a fixed Lorentz frame, as well ...
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High temperature convergence of the KMS boundary conditions: The Bose-Hubbard model on a finite graph 

Zied, A.; Ratsimanetrimanana, A. (2021-08-01)
The Kubo-Martin-Schwinger (KMS) condition is a widely studied fundamental property in quantum statistical mechanics which characterizes the thermal equilibrium states of quantum systems. In the seventies, Gallavotti and ...
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Classical dynamics generated by long-range interactions for lattice fermions and quantum spins 

Bru, J.-B.Autoridad BCAM; de Siqueira Pedra, W.Autoridad BCAM (2021)
We study the macroscopic dynamical properties of fermion and quantum-spin systems with long-range, or mean-field, interactions. The results obtained are far beyond previous ones and require the development of a mathematical ...
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EgileaBru, J.-B. (28)de Siqueira Pedra, W. (28)Hertling, C. (4)LIll, S. (4)Ratsimanetrimanana, A. (4)Cortés, E. (3)de Pasquale, A.D. (3)Aza, N.J.B. (2)Bach, V. (2)Escobedo, M. (2)... másMateriaClassical dynamics (4)conductivity measure (3)large deviations (3)Quantum dynamics (3)transport processes (3)BCS (2)bipolaron (2)d-wave (2)determinant bound (2)disordered media (2)... másFecha2022 (6)2021 (6)2020 (3)2019 (3)2018 (6)2017 (3)2016 (6)2015 (6)2014 (2)2013 (1)

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