Back and forth from Fock space to Hilbert space: a guide for commuters

DOI10.1088/1361-6404/aad760zbMath1421.81067arXiv1805.04552OpenAlexW3104299010MaRDI QIDQ5231747

Ilaria Siloi, Paolo Bordone, Matteo G. A. Paris, Andrea Beggi, Claudia Benedetti, Luca Razzoli, Enrico Piccinini

Publication date: 3 September 2019

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

Full work available at URL: https://arxiv.org/abs/1805.04552

zbMATH Keywords

Hilbert spaceFock spaceidentical particles

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Commutation relations and statistics as related to quantum mechanics (general) (81S05) States of selfadjoint operator algebras (46L30) Bergman spaces and Fock spaces (30H20) Physics, astronomy, technology, engineering (aspects of mathematics education) (97M50)

Cites Work

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• Quantum correlations of identical particles subject to classical environmental noise
• GPU-accelerated algorithms for many-particle continuous-time quantum walks
• Quantum Computation and Quantum Information
• Quantum entanglement
• Decoherence, einselection, and the quantum origins of the classical
• Quantum Cell Model for Bosons
• Quantum Discord: A Measure of the Quantumness of Correlations
• A Generalized Method of Field Quantization

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