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Displaying 1821 – 1840 of 2286

Supersymmetry and Ghosts in Quantum Mechanics

Robert, Didier (2008)

Serdica Mathematical Journal

2000 Mathematics Subject Classification: 81Q60, 35Q40.A standard supersymmetric quantum system is defined by a Hamiltonian [^H] = ½([^Q]*[^Q] +[^Q][^Q]*), where the super-charge [^Q] satisfies [^Q]2 = 0, [^Q] commutes with [^H]. So we have [^H] ≥ 0 and the quantum spectrum of [^H] is non negative. On the other hand Pais-Ulhenbeck proposed in 1950 a model in quantum-field theory where the d'Alembert operator [¯] = [(∂2)/( ∂t2)] − Δx is replaced by fourth order operator [¯]([¯] + m2), in order to...

Supersymmetry of affine Toda models as fermionic symmetry flows of the extended mkdv hierarchy.

Schmidtt, David M. (2010)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Supersymmetry transformations for delta potentials.

Fernández C., David J., Gadella, Manuel, Nieto, Luis Miguel (2011)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Supersymmetry, Witten complex and asymptotics for directional Lyapunov exponents in $𝐙^{d}$

Wei-Min Wang (1999)

Journées équations aux dérivées partielles

By using a supersymmetric gaussian representation, we transform the averaged Green's function for random walks in random potentials into a 2-point correlation function of a corresponding lattice field theory. We study the resulting lattice field theory using the Witten laplacian formulation. We obtain the asymptotics for the directional Lyapunov exponents.

Supporting sequences of pure states on JB algebras

Jan Hamhalter (1999)

Studia Mathematica

We show that any sequence $(φ_{n})$ of mutually orthogonal pure states on a JB algebra A such that $(φ_{n})$ forms an almost discrete sequence in the relative topology induced by the primitive ideal space of A admits a sequence $(a_{n})$ consisting of positive, norm one, elements of A with pairwise orthogonal supports which is supporting for $(φ_{n})$ in the sense of $φ_{n} (a_{n}) = 1$ for all n. Moreover, if A is separable then $(a_{n})$ can be taken such that $(φ_{n})$ is uniquely determined by the biorthogonality condition $φ_{n} (a_{n}) = 1$ . Consequences of this result improving...

Sur l'approximation de Born-Oppenheimer des opérateurs d'onde

A. Martinez (1994/1995)

Séminaire Équations aux dérivées partielles (Polytechnique)

Sur le caractère bien posé des équations de Schrödinger non linéaires

Patrick Gérard (2005/2006)

Séminaire Équations aux dérivées partielles

Sur le spectre semi-classique d’un système intégrable de dimension 1 autour d’une singularité hyperbolique

Olivier Lablée (2010)

Annales de la faculté des sciences de Toulouse Mathématiques

Dans cette article on décrit le spectre semi-classique d’un opérateur de Schrödinger sur $ℝ$ avec un potentiel type double puits. La description qu’on donne est celle du spectre autour du maximum local du potentiel. Dans la classification des singularités de l’application moment d’un système intégrable, le double puits représente le cas des singularités non-dégénérées de type hyperbolique.

Sur le spectre semi-classique d’un système intégrable de dimension 1 autour d’une singularité hyperbolique

Olivier Lablée (2007/2008)

Séminaire de théorie spectrale et géométrie

Dans cet article on décrit le spectre semi-classique d’un opérateur de Schrödinger sur $ℝ$ avec un potentiel type double puits. La description qu’on donne est celle du spectre autour du maximum local du potentiel. Dans la classification des singularités de l’application moment d’un système intégrable, le double puits représente le cas des singularités non-dégénérées de type hyperbolique.

Sur les mesures de Wigner.

Pierre-Louis Lions, Thierry Paul (1993)

Revista Matemática Iberoamericana

We study the properties of the Wigner transform for arbitrary functions in L2 or for hermitian kernels like the so-called density matrices. And we introduce some limits of these transforms for sequences of functions in L2, limits that correspond to the semi-classical limit in Quantum Mechanics. The measures we obtain in this way, that we call Wigner measures, have various mathematical properties that we establish. In particular, we prove they satisfy, in linear situations (Schrödinger equations)...

Sur les règles de sélection en spectroscopie moléculaire de vibration et de rotation

A. Guichardet (1986)

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

Sur les semigroupes dynamiques quantiques

Rolando Rebolledo (1996)

Annales mathématiques Blaise Pascal

Sur les vibrations intérieures des molécules.

Briot, Charles (1868)

Journal de Mathématiques Pures et Appliquées

Sur l'existence des opérateurs d'onde dans la théorie algébrique de la diffusion

V. Georgescu (1977)

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

Sur un nouveau groupe de symétrie de la mécanique quantique relativiste

Salah Horchani (1971)

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

SUSY quantum Hall effect on non-anti-commutative geometry.

Hasebe, Kazuki (2008)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Symmetric algebras and Yang-Baxter equation

Beidar, K., Fong, Y., Stolin, A. (1997)

Proceedings of the 16th Winter School "Geometry and Physics"

Let $U$ be an open subset of the complex plane, and let $L$ denote a finite-dimensional complex simple Lie algebra. A. A. Belavin and V. G. Drinfel’d investigated non-degenerate meromorphic functions from $U \times U$ into $L \otimes L$ which are solutions of the classical Yang-Baxter equation [Funct. Anal. Appl. 16, 159-180 (1983; Zbl 0504.22016)]. They found that (up to equivalence) the solutions depend only on the difference of the two variables and that their set of poles forms a discrete (additive) subgroup $Γ$ of the...

Symmetric difference in orthomodular lattices

Gerhard Dorfer, Anatolij Dvurečenskij, Helmut Länger (1996)

Mathematica Slovaca

Symmetric difference on orthomodular lattices and $Z_{2}$ -valued states

Milan Matoušek, Pavel Pták (2009)

Commentationes Mathematicae Universitatis Carolinae

The investigation of orthocomplemented lattices with a symmetric difference initiated the following question: Which orthomodular lattice can be embedded in an orthomodular lattice that allows for a symmetric difference? In this paper we present a necessary condition for such an embedding to exist. The condition is expressed in terms of $Z_{2}$ -valued states and enables one, as a consequence, to clarify the situation in the important case of the lattice of projections in a Hilbert space.

Symmetric quantum Weyl algebras

Rafael Díaz, Eddy Pariguan (2004)

Annales mathématiques Blaise Pascal

We study the symmetric powers of four algebras: $q$ -oscillator algebra, $q$ -Weyl algebra, $h$ -Weyl algebra and $U ({𝔰𝔩}_{2})$ . We provide explicit formulae as well as combinatorial interpretation for the normal coordinates of products of arbitrary elements in the above algebras.

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