Exponential Formulae in Quantum Theories

DOI10.1007/978-3-319-63594-1_27zbMath1402.81169OpenAlexW2785736246MaRDI QIDQ4556854

Bogdan Mielnik

Publication date: 28 November 2018

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-63594-1_27

zbMATH Keywords

Baker-Campbell-Hausdorff formulaquantum dynamicsquantum controlevolution loops

Mathematics Subject Classification ID

Matrix exponential and similar functions of matrices (15A16) Quantum control (81Q93)

Cites Work

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• Perfect transmission scattering as a \(\mathcal{PT}\)-symmetric spectral problem
• Explicit solution of the continuous Baker-Cambell-Hausdorff problem and a new expression for the phase operator
• Evolution loops
• Magnetic operations: a little fuzzy mechanics?
• Do the chain rules for matrix functions hold without commutativity?
• Exponential Operators and Parameter Differentiation in Quantum Physics
• On Global Representations of the Solutions of Linear Differential Equations as a Product of Exponentials
• On the exponential solution of differential equations for a linear operator

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