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We introduce a method for construction of a covariant differential calculus over a Hopf algebra $A$ from a quantized calculus $d a = [D, a]$ , $a \in A$ , where $D$ is a candidate for a Dirac operator for $A$ . We recover the method of construction of a bicovariant differential calculus given by T. Brzeziński and S. Majid created from a central element of the dual Hopf algebra $A^{\circ}$ . We apply this method to the Dirac operator for the quantum $SL (2)$ given by S. Majid. We find that the differential calculus obtained by our method is the...

Existence of an instanton singularity in $φ_{}^{4} 3$ . Euclidean field theory

Joel Feldman, Vincent Rivasseau (1986)

Annales de l'I.H.P. Physique théorique

Feynman et les mathématiques

Jean-Claude Zambrini (1996)

Annales mathématiques Blaise Pascal

Feynman path integral as spectral decomposition

Souček, J., Souček, V., Janiš, V. (1981)

Abstracta. 9th Winter School on Abstract Analysis

Generic Feynman amplitudes

E. R. Speer, M. J. Westwater (1971)

Annales de l'I.H.P. Physique théorique

Indefinite quadratic functionals of gaussian processes and least-action paths

Terence Chan (1991)

Annales de l'I.H.P. Probabilités et statistiques

Introduction aux méthodes euclidiennes en théorie quantique des champs

E. Combet (1985)

Publications du Département de mathématiques (Lyon)

Lower bounds to Feynman integrals and class $H^{n}$

Edward B. Manoukian (1983)

Annales de l'I.H.P. Physique théorique

Non-commutative matrix integrals and representation varieties of surface groups in a finite group

Motohico Mulase, Josephine T. Yu (2005)

Annales de l’institut Fourier

A new formula is established for the asymptotic expansion of a matrix integral with values in a finite-dimensional von Neumann algebra in terms of graphs on surfaces which are orientable or non-orientable.

On the energy and spectral properties of the he matrix of hexagonal systems

Faqir M. Bhatti, Kinkar Ch. Das, Syed A. Ahmed (2013)

Czechoslovak Mathematical Journal

The He matrix, put forward by He and He in 1989, is designed as a means for uniquely representing the structure of a hexagonal system (= benzenoid graph). Observing that the He matrix is just the adjacency matrix of a pertinently weighted inner dual of the respective hexagonal system, we establish a number of its spectral properties. Afterwards, we discuss the number of eigenvalues equal to zero of the He matrix of a hexagonal system. Moreover, we obtain a relation between the number of triangles...

Oscillatory Integrals and the Method of Stationary Phase in Infinitely Many Dimensions, with Applications to the Classical Limit of Quantum Mechanics. I.

S. Alberverio, R. Höegh-Krohn (1977)

Inventiones mathematicae

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Displaying 1 – 20 of 20

A generating function for fatgraphs

A note concerning the "Feynman integrability" of sets of trajectories

A polynomial invariant of rational homology 3-spheres.

A quantum field theoretical representation of Euler-Zagier sums.

Alternative method for determining the Feynman propagator of a non-relativistic quantum mechanical problem.

Considerations on some algebraic properties of Feynman integrals.

Covariantization of quantized calculi over quantum groups

Existence of an instanton singularity in $φ_{}^{4} 3$ . Euclidean field theory

Feynman et les mathématiques

Feynman path integral as spectral decomposition

Generic Feynman amplitudes

Indefinite quadratic functionals of gaussian processes and least-action paths

Introduction aux méthodes euclidiennes en théorie quantique des champs

Lower bounds to Feynman integrals and class $H^{n}$

Non-commutative matrix integrals and representation varieties of surface groups in a finite group

On the energy and spectral properties of the he matrix of hexagonal systems

Oscillatory Integrals and the Method of Stationary Phase in Infinitely Many Dimensions, with Applications to the Classical Limit of Quantum Mechanics. I.

Remarks on integration over Lie algebras

Shoikhet's conjecture and Duflo isomorphism on (co)invariants.

Transient phenomena in quantum bound states subjected to a sudden perturbation.

Currently displaying 1 – 20 of 20