Weighted number operators on Bernoulli functionals and quantum exclusion semigroups

DOI10.1063/1.5120102zbMath1427.81058arXiv1911.12177OpenAlexW2989908292WikidataQ126662237 ScholiaQ126662237MaRDI QIDQ5206050

Suling Ren, Yuling Tang, Cai-shi Wang

Publication date: 17 December 2019

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.12177

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Model quantum field theories (81T10) Markov semigroups and applications to diffusion processes (47D07) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Related Items (8)

The uniform measure for quantum walk on hypercube: A quantum Bernoulli noises approach ⋮ Higher-dimensional open quantum walk in environment of quantum Bernoulli noises ⋮ Quantum Markov semigroup for open quantum system interacting with quantum Bernoulli noises ⋮ Random Schrödinger operator on infinite-dimensional hypercube. I: Ergodicity and density of states ⋮ Abstract model of continuous-time quantum walk based on Bernoulli functionals and perfect state transfer ⋮ Generalized weighted number operators on functionals of discrete-time normal martingales ⋮ Ergodicity of exclusion semigroups constructed from quantum Bernoulli noises ⋮ Quantum Bernoulli noises approach to Stochastic Schrödinger equation of exclusion type

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