Geometrical structures for classical and quantum probability spaces
DOI10.1142/S021974991740007XzbMath1397.81030arXiv1711.09774MaRDI QIDQ4584370
Florio M. Ciaglia, Giuseppe Marmo, Alberto Ibort
Publication date: 3 September 2018
Published in: International Journal of Quantum Information (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1711.09774
Probability distributions: general theory (60E05) Hamilton's equations (70H05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70) Quantum state spaces, operational and probabilistic concepts (81P16)
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