Results 61 to 70 of about 251 (157)

Seniority‐Zero Quadratic Canonical Transformation Theory

open access: yesInternational Journal of Quantum Chemistry, Volume 126, Issue 12, June 15, 2026.
We construct a unitary transformation of electronic Hamiltonians using quadratic canonical transformation theory, choosing the transformation to minimize the non‐seniority‐zero elements of the transformed Hamiltonian. This allows us to add dynamic correlation to the static correlation inherent in orbital‐optimized doubly‐occupied (seniority‐zero ...
Daniel F. Calero‐Osorio, Paul W. Ayers
wiley   +1 more source

Functional Calculus for a Pair of Almost Commuting Selfadjoint Operators

open access: yesJournal of Functional Analysis, 1993
In this relevant paper, the author constructs a functional calculus for a pair \((A,B)\) of almost commuting selfadjoint operators, i.e. \(AB-BA\) is a trace class operator. A class \({\mathcal C}\) of functions in two real variables is constructed and a mapping \(\varphi \mapsto \varphi(A,B)\) \((\varphi \in{\mathcal C})\) is defined satisfying ...
openaire   +2 more sources

Non-commutative Calculus and Discrete Physics

open access: yes, 2003
LaTeX document, 56 pages, 1 ...
openaire   +2 more sources

The Weyl Correspondence as a Functional Calculus for Non-Commuting Operators

open access: yesRocky Mountain Journal of Mathematics, 2009
In this expository paper, the Weyl calculus for bounded, selfadjoint operators on a Hilbert space is described. The original Weyl correspondence for the position and momentum operators is described as well. The most interesting part is the multi-variable Weyl correspondence for bounded selfadjoint operators which are not necessarily commuting.
openaire   +2 more sources

Cut Elimination Theorem for Non-Commutative Hypersequent Calculus

open access: yesBulletin of the Section of Logic, 2017
Hypersequent calculi (HC) can formalize various non-classical logics. In [9] we presented a non-commutative variant of HC for the weakest temporal logic of linear frames Kt4.3 and some its extensions for dense and serial flow of time. The system was proved to be cut-free HC formalization of respective temporal logics by means of Schütte/Hintikka-style ...
openaire   +4 more sources

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