Zobrazeno 1 - 10
of 165
pro vyhledávání: '"Maurice A. de Gosson"'
Publikováno v:
Quanta, Vol 8, Iss 1, Pp 11-23 (2019)
We recall Dirac's early proposals to develop a description of quantum phenomena in terms of a non-commutative algebra in which he suggested a way to construct what he called quantum trajectories. Generalising these ideas, we show how they are related
Externí odkaz:
https://doaj.org/article/9ddfcdbcf6ed479bba768de64dbb6a80
Autor:
Maurice A. de Gosson
Publikováno v:
Entropy, Vol 24, Iss 6, p 761 (2022)
We study the symplectic Radon transform from the point of view of the metaplectic representation of the symplectic group and its action on the Lagrangian Grassmannian. We give rigorous proofs in the general setting of multi-dimensional quantum system
Externí odkaz:
https://doaj.org/article/616c72e3588547ad89d5f5e511539e2e
Autor:
Maurice A. de Gosson
Publikováno v:
Quanta, Vol 7, Iss 1, Pp 74-110 (2018)
We will study rigorously the notion of mixed states and their density matrices. We will also discuss the quantum-mechanical consequences of possible variations of Planck's constant h. This review has been written having in mind two readerships: mathe
Externí odkaz:
https://doaj.org/article/2e351c9fd1204636a04405a0368b5f68
Autor:
Maurice A. de Gosson
Publikováno v:
Mathematics, Vol 9, Iss 20, p 2578 (2021)
We solve the Pauli tomography problem for Gaussian signals using the notion of Schur complement. We relate our results and method to a notion from convex geometry, polar duality. In our context polar duality can be seen as a sort of geometric Fourier
Externí odkaz:
https://doaj.org/article/efec75529f1e4e73a796662abe269701
Publikováno v:
Quanta, Vol 4, Iss 1, Pp 27-34 (2015)
Time-symmetric quantum mechanics can be described in the Weyl–Wigner–Moyal phase space formalism by using the properties of the cross-terms appearing in the Wigner distribution of a sum of states. These properties show the appearance of a strongl
Externí odkaz:
https://doaj.org/article/258ba19df2d0404c973360aa56ed7658
Autor:
Maurice A. de Gosson
Publikováno v:
Entropy, Vol 20, Iss 11, p 869 (2018)
We have shown in previous work that the equivalence of the Heisenberg and Schrödinger pictures of quantum mechanics requires the use of the Born and Jordan quantization rules. In the present work we give further evidence that the Born⁻Jordan rule
Externí odkaz:
https://doaj.org/article/1c933fde99f24748b320dad4e60cd27b
Autor:
Maurice A. de Gosson
Publikováno v:
Entropy, Vol 20, Iss 7, p 499 (2018)
Poincaré’s Recurrence Theorem implies that any isolated Hamiltonian system evolving in a bounded Universe returns infinitely many times arbitrarily close to its initial phase space configuration. We discuss this and related recurrence properties f
Externí odkaz:
https://doaj.org/article/7d2965caa6ce4c9bbc0d6bbdf8e598ea
Autor:
Maurice A De Gosson
This book deals with the foundations of classical physics from the “symplectic” point of view, and of quantum mechanics from the “metaplectic” point of view. The Bohmian interpretation of quantum mechanics is discussed. Phase space quantizati
Autor:
Maurice A. de Gosson, Joachim Toft
Publikováno v:
Acta Mathematica Scientia. 40:1603-1626
We show that the Weyl symbol of a Born-Jordan operator is in the same class as the Born-Jordan symbol, when H\"ormander symbols and certain types of modulation spaces are used as symbol classes. We use these properties to carry over continuity and Sc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bfd12a47f7b11f30cc3c8cd9577251b6
https://doi.org/10.1007/s10473-020-0601-z
https://doi.org/10.1007/s10473-020-0601-z
Autor:
Maurice A. de Gosson
Publikováno v:
Comptes Rendus. Mathématique. 358:459-462
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1e1ed8c58790e4bb8d4c3903e7012896
https://doi.org/10.5802/crmath.57
https://doi.org/10.5802/crmath.57