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pro vyhledávání: '"Thiemann, A."'
Machine learning potentials have revolutionised the field of atomistic simulations in recent years and are becoming a mainstay in the toolbox of computational scientists. This paper aims to provide an overview and introduction into machine learning p
Externí odkaz:
http://arxiv.org/abs/2410.00626
Typestate systems are notoriously complex as they require sophisticated machinery for tracking aliasing. We propose a new, transition-oriented foundation for typestate in the setting of impure functional programming. Our approach relies on ordered ty
Externí odkaz:
http://arxiv.org/abs/2408.14031
Autor:
Della Pia, Flaviano, Zen, Andrea, Kapil, Venkat, Thiemann, Fabian L., Alfè, Dario, Michaelides, Angelos
Water confined in nanoscale cavities plays a crucial role in everyday phenomena in geology and biology, as well as technological applications at the water-energy nexus. However, even understanding the basic properties of nano-confined water is extrem
Externí odkaz:
http://arxiv.org/abs/2406.18448
Many of graphene's remarkable properties are intrinsically linked to its inherent ripples. Defects, whether naturally present or artificially introduced, are known to have a strong impact on the rippling of graphene. However, how defects alter ripple
Externí odkaz:
http://arxiv.org/abs/2406.04775
Autor:
Thiemann, Thomas
Perturbative quantum gravity starts from prescribing a background metric. That background metric is then used in order to carry out two separate steps: 1. One splits the non-perturbative metric into background and deviation from it (graviton) and exp
Externí odkaz:
http://arxiv.org/abs/2405.01212
Autor:
Thiemann, Thomas
The canonical quantisation of General Relativity including matter on a spacetime manifold in the globally hyperbolic setting involves in particular the representation theory of the spatial diffeomorphism group (SDG), and/or its Lie algebra (SDA), of
Externí odkaz:
http://arxiv.org/abs/2405.01201
Autor:
Neuser, Jonas, Thiemann, Thomas
In this paper we extend reduced phase space approach to black hole perturbation theory to Maxwell matter. We expand the resulting reduced Hamiltonian to second order in the graviton and photon perturbations and find that the corresponding equations o
Externí odkaz:
http://arxiv.org/abs/2404.18959
Autor:
Thiemann, Thomas
In a seminal work, Hawking showed that natural states for free quantum matter fields on classical spacetimes that solve the spherically symmetric vacuum Einstein equations are KMS states of non-vanishing temperature. Although Hawking's calculation do
Externí odkaz:
http://arxiv.org/abs/2404.18956
Autor:
Neuser, Jonas, Thiemann, Thomas
In this second paper of our series we focus on the classical pure gravity sector of spherically symmetric black hole perturbations and expand the reduced Hamiltonian to second order. To compare our manifestly gauge invariant formalism with establishe
Externí odkaz:
http://arxiv.org/abs/2404.18958
Autor:
Thiemann, Thomas
For interacting classical field theories such as general relativity exact solutions typically can only be found by imposing physically motivated (Killing) {\it symmetry} assumptions. Such highly symmetric solutions are then often used as {\it backgro
Externí odkaz:
http://arxiv.org/abs/2404.18230