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Differential Calculus of Zeon Functions
Advances in Applied Clifford Algebras, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Mehler’s formula and functional calculus
Science China Mathematics, 2019Several formulas involving the quantization of singular Hamiltonians are derived by the use of Mehler's formula. Three appendices serve as relevant source for background material. In the first section, the Weyl quantization of \(F(x^2 + \xi^2)\) is calculated explicitly, when \(F\) is of the Schwartz class in one dimension.
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Non-commutative functional calculus
Journal d'Analyse Mathematique, 2019J. Agler, John E. McCarthy
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Functional Differential Calculus of Operators
Journal of Mathematical Physics, 1964The functional derivative with respect to operators of operator functionals is defined for operators which satisfy certain commutation relations of interest in quantum field theory. From this definition, a functional differential calculus is developed for functionals of tensor as well as spinor fields.
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Feynman’s Functional Calculus and Stochastic Calculus of Variations
1991The mathematical structure of Quantum Mechanics is usually introduced as a calculus of non-commuting self-adjoint (unbounded) operators, the “observables,” on a Hilbert space of “states” (cf. [15]). There is no doubt that Quantum Mechanics is consistent and describes correctly many experiments, but we are supposed to renounce completely the ...
Ana Bela Cruzeiro, Jean Claude Zambrini
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SARS-CoV-2 variants, spike mutations and immune escape
Nature Reviews Microbiology, 2021William T Harvey +2 more
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Functional calculus for first order systems of Dirac type and boundary value problems
, 2016P. Auscher, Sebastian Stahlhut
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Functional nanoparticles through π-conjugated polymer self-assembly
Nature Reviews Materials, 2020Liam R Macfarlane +2 more
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