摘要:

The role of the Killing‐Yano tensors in the construction of the Dirac‐type operators is pointed out. The general results are applied to the case of the four‐dimensional Euclidean Taub‐NUT space. Three new Dirac‐type operators, equivalent to the standard Dirac one, are constructed from the covariantly constant Killing‐Yano tensors of this space. In this space there is also a non covariantly constant Killing‐Yano tensor connected with hidden symmetries. The Runge‐Lenz operator for the Dirac equation in this background is written down pointing out its algebraic properties. © 2004 American Institute of Physics

ISSN:0094-243X    

DOI:10.1063/1.1814722

出版商:AIP    

年代:1904

数据来源: AIP

摘要:

In this paper conditions of variationality for mechanical systems subjected to non‐holonomic constraints (constraint Helmholtz conditions), recently obtained by Krupkova´ and Musilova´, are examined in some concrete physical situations. Influence of the choice of constraints on the variationality is studied and corresponding constraint forces are obtained. © 2004 American Institute of Physics

ISSN:0094-243X    

DOI:10.1063/1.1814723

出版商:AIP    

年代:1904

数据来源: AIP

摘要:

We present a new integrable natural Hamiltonian system onS2. The integral is cubic in momenta. © 2004 American Institute of Physics

ISSN:0094-243X    

DOI:10.1063/1.1814724

出版商:AIP    

年代:1904

数据来源: AIP

摘要:

In this paper we discuss several features of Hilbert spaces of holomorphic functions on domains of Cn. We study composition and multiplication operators on generalized Bergman spaces and give results on the dynamical behaviour (i.e.cyclicity, hypercyclicity, compactness) of the first ones and on the algebraic properties of the space that the second one interprets. In particular we underline the analogies and differences between the case of bounded and unbounded domains in C and Cn. © 2004 American Institute of Physics

ISSN:0094-243X    

DOI:10.1063/1.1814725

出版商:AIP    

年代:1904

数据来源: AIP

摘要:

Some recent results concerning the multi‐component Nonlinear Schro¨dinger (MNLS) type systems and their gauge equivalent are presented. On the example of MNLS system related to theso(5)‐algebra the derivation of the corresponding generating (recursion) operator is given using a gauge covariant approach. A nontrivial reduction of theso(5) MNLS model with a compatible dynamics is also reported. © 2004 American Institute of Physics

ISSN:0094-243X    

DOI:10.1063/1.1814726

出版商:AIP    

年代:1904

数据来源: AIP

摘要:

The continuous calculus of variations is concerned mainly with the determination of minima or maxima of certain definite integrals involving unknown functions. In this paper, a discrete calculus of variations for sums is treated, including the discrete Euler‐Lagrange equation. © 2004 American Institute of Physics

ISSN:0094-243X    

DOI:10.1063/1.1814727

出版商:AIP    

年代:1904

数据来源: AIP

摘要:

A brief survey is presented of some mathematical details of the study of symmetry in 4‐dimensional Lorentz manifolds with applications to general relativity. The main symmetry studied is local isometry but the other symmetries encountered in Einstein’s theory are also briefly discussed. © 2004 American Institute of Physics

ISSN:0094-243X    

DOI:10.1063/1.1814728

出版商:AIP    

年代:1904

数据来源: AIP

摘要:

The finite group invariance of theE⊗ &bgr; and Jaynes‐Cummings models are studied. A method is presented to obtain finite group invariance of theE⊗ &bgr; system.A suitable transformation of a Jaynes‐Cummings Hamiltonian leads to equivalence ofE⊗ &bgr; system. Then a general method is applied to obtain the solution of Jaynes‐Cummings Hamiltonian with Kerr nonlinearity. Number operator for this structure and the generators ofsu(2) algebra are used to find the eigenvalues of the Jaynes‐Cummings Hamiltonian for different states. By using the invariance of number operator the solution of modified Jaynes‐Cummings Hamiltonian is also discussed. © 2004 American Institute of Physics

ISSN:0094-243X    

DOI:10.1063/1.1814729

出版商:AIP    

年代:1904

数据来源: AIP

摘要:

Viewing linear ODEs asD‐modules provides an algebraic apparatus which can be used to embed aspects of the theory of representations of Lie algebras into the quest of decomposing and solving equations. In particular we shall see examples of how equations of high order may be solved in terms of a small symmetry algebra. Our main example will be sl2‐equations. © 2004 American Institute of Physics

ISSN:0094-243X    

DOI:10.1063/1.1814730

出版商:AIP    

年代:1904

数据来源: AIP

摘要:

We build a line bundle on the Brownian bridge by using gerbes theory. © 2004 American Institute of Physics

ISSN:0094-243X    

DOI:10.1063/1.1814731

出版商:AIP    

年代:1904

数据来源: AIP