Hiking a generalized Dyck path: a tractable way of calculating multimode boson evolution operators

DOI10.1016/j.cpc.2015.05.020zbMath1360.81352arXiv1501.02865OpenAlexW1635255754MaRDI QIDQ525642

Kamil Brádler

Publication date: 5 May 2017

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.02865

zbMATH Keywords

Dyck pathinteger latticeboson evolution operatorboson normal ordering

Mathematics Subject Classification ID

Quantum optics (81V80) Many-body theory; quantum Hall effect (81V70)

Related Items (1)

Recent developments in combinatorial aspects of normal ordering

Cites Work

• Topics in noncommutative algebra. The theorem of Campbell, Baker, Hausdorff and Dynkin
• The commutation relation \(xy=qyx+hf(y)\) and Newton's binomial formula
• Generalized Dyck paths
• Quantal problems with partial algebraization of the spectrum
• On the normal ordering of multi-mode Boson operators
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• Boson normal ordering via substitutions and Sheffer-type polynomials
• Rook numbers and the normal ordering problem
• Analytic Combinatorics in Several Variables
• The Conceptual Framework of Quantum Field Theory
• On the Product of Semi-Groups of Operators
• Ordering of some boson operator functions
• Exact solution of generalized Tavis - Cummings models in quantum optics
• Quasi-exactly solvable models in nonlinear optics
• Combinatorics of Set Partitions
• Algebraic Bethe ansatz method for the exact calculation of energy spectra and form factors: applications to models of Bose Einstein condensates and metallic nanograins
• Polynomial algebras and exact solutions of general quantum nonlinear optical models: II. Multi-mode boson systems
• Lie Algebraic Solution of Linear Differential Equations
• Representing elements of the Weyl algebra by labeled trees
• Exponential Operators and Parameter Differentiation in Quantum Physics
• Mathematical aspects of the quantum theory of fields. Part V. Fields modified by linear homogeneous forces
• On the exponential solution of differential equations for a linear operator
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