Generalized degenerate Stirling numbers arising from degenerate Boson normal ordering [PDF]
Applied Mathematics in Science and Engineering, 2023 It is remarkable that, in recent years, intensive studies have been done for degenerate versions of many special polynomials and numbers and have yielded many interesting results.
Taekyun Kim, Dae San Kim, Hye Kyung Kim
doaj +2 more sources
Combinatorics and Boson normal ordering: A gentle introduction [PDF]
, 2007 We discuss a general combinatorial framework for operator ordering problems by applying it to the normal ordering of the powers and exponential of the boson number operator.
A. Horzela +12 more
core +2 more sources
Recent developments in combinatorial aspects of normal ordering [PDF]
Enumerative Combinatorics and Applications, 2021 In this paper, we report on recent progress concerning combinatorial aspects of normal ordering. After giving a short introduction to the history and motivation of normal ordering, we present some recent developments.
Matthias Schork
doaj +2 more sources
Combinatorial approach to generalized Bell and Stirling numbers and boson normal ordering problem [PDF]
, 2005 We consider the numbers arising in the problem of normal ordering of expressions in canonical boson creation and annihilation operators. We treat a general form of a boson string which is shown to be associated with generalizations of Stirling and Bell ...
Bergeron F. +6 more
core +3 more sources
Neutrino mass and mass ordering: no conclusive evidence for normal ordering [PDF]
Journal of Cosmology and Astroparticle Physics, 2022 The extraction of the neutrino mass ordering is one of the major challenges in particle physics and cosmology, not only for its implications for a fundamental theory of mass generation in nature, but also for its decisive role in the scale of future ...
S. Gariazzo +10 more
semanticscholar +1 more source
Normal ordering of three-nucleon interactions for ab initio calculations of heavy nuclei [PDF]
Physical Review C, 2022 Three-nucleon (3N) interactions are key for an accurate solution of the nuclear many-body problem. However, fully taking into account 3N forces constitutes a computational challenge and hence approximate treatments are commonly employed.
K. Hebeler +6 more
semanticscholar +1 more source
Some identities involving degenerate Stirling numbers arising from normal ordering [PDF]
AIMS Mathematics, 2022 In this paper, we derive some identities and recurrence relations for the degenerate Stirling numbers of the first kind and of the second kind, which are degenerate versions of the ordinary Stirling numbers of the first kind and of the second kind.
Taekyun Kim, Dae San Kim
semanticscholar +1 more source
Normal-ordering approximations and translational (non)invariance [PDF]
Physical Review C, 2021 Normal-ordering provides an approach to approximate three-body forces as effective two-body operators and it is therefore an important tool in many-body calculations with realistic nuclear interactions.
T. Djärv +3 more
semanticscholar +1 more source
Exponential Formulas, Normal Ordering and the Weyl-Heisenberg Algebra [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2021 We consider a class of exponentials in the Weyl-Heisenberg algebra with exponents of type at most linear in coordinates and arbitrary functions of momenta.
S. Meljanac, R. vStrajn
semanticscholar +1 more source
Normal Higher-Order Termination [PDF]
ACM Transactions on Computational Logic, 2015 We extend the termination proof methods based on reduction orderings to higher-order rewriting systems based on higher-order pattern matching. We accommodate, on the one hand, a weakly polymorphic, algebraic extension of Church’s simply typed λ-calculus and, on the other hand, any use of eta, as a reduction, as an expansion, or as an equation. The user’
Jouannaud, Jean Pierre +1 more
openaire +5 more sources