266 research outputs found
Bismarcks Bündnisangebot an Grossbritannien im ersten Jahre der grossen orientalischen Krisis 1875/76
No full textJohann-Wolfgang-Goethe-Universität Frankfurt am Main, Dissertation, 1950vorgelegt von Heinz Grosche aus Dresde
Path integrals for two- and three-dimensional -function perturbations
No full textThe incorporation of two- and three-dimensional Δ-function perturbations into the path integral formalism is discussed. Contrary to the one-dimensional case, a regularization prescription is needed due to the divergence of the Green function corresponding to a potential V, G(v) (x,y;E) (x, y ϵ ℝ2, ℝ3) for x→y. The known procedure to define proper self-adjoint extensions for Hamiltonians with point-interactions can be exploited to define the incorporation of δ-function perturbations in the path integral. Several examples illustrate the formalism
The general Besselian and Legendrian path integral
No full textThe general Besselian and Legendrian path integrals based on the confluent and hypergeometric Natanzon potentials are calculated. These two solutions cover all other path-integral representations which are related to the radial harmonic oscillator and the (modified) Pöschl - Teller path integral
Bi-directional optical amplifiers for long-distance fibre links
No full textBi-directional optical frequency links for phase-stabilized frequency transfer require bi-directional amplifiers. Here we present some results from the development and test of two types of bidirectional amplifiers, Er +-doped fiber amplifiers (EDFA) and fibre Brillouin amplifiers (FBA). to be deployed along a fiber link connecting SYRTE/France and PTB/Germany. © 2013 IEEE
Exercitatio Peri Theion Lethiferarum Aquarum
No full textQuam ... Sub Praesidio ... M. Adami Purpurii .... Publicae Eruditorum disquisitioni, in florentissima ad Albim Academia sistet defensurus, Christian Ehrenfried Winzer, Vetschawa Lus. Philos. Stud Ad diem 2. Iunii, Horis Pomeridianis, in Auditorio Veter
function perturbations and Neumann boundary conditions by path integration
No full text-function perturbations and Neumann boundary conditions are incorporated into the path integral formalism. The starting point is the consideration of the path integral representation for the one dimensional Dirac particle together with a relativistic point interaction. The non-relativistic limit yields either a usual -function or a -function perturbation; making their strengths infinitely repulsive one obtains Dirichlet, respectively Neumann boundary conditions in the path integral
Path Integration and Separation of Variables in Spaces of Constant Curvature in Two and Three Dimensions
No full textIn this paper path integration in two- and three-dimensional spaces of constant curvature is discussed: i.e. the flat spaces R2 and R3, the two- and three-dimensional sphere and the two- and three-dimensional pseudosphere. We are going to discuss all coordinates systems where the Laplace operator admits separation of variables. In all of them the path integral formulation will be stated, however in most of them an explicit solution in terms of the spectral expansion can be given only on a formal level. What can be stated in all cases, are the propagator and the corresponding Green function, respectively, depending on the invariant distance which is a coordinate independent quantity. This property gives rise to numerous identities connecting the corresponding path integral representations and propagators in various coordinate systems with each other
Path integral solution for an electron moving in the field of a Dirac monopole
No full textIn this paper the path integral for an electron moving in the field of a Dirac monopole is calculated. The energy spectrum and the wave-functions are explicitly evaluated. In addition the effect of a spherically shaped δ-function perturbation on the original continuous spectrum is investigated. It is found that a finite number of energy levels depending on the angular momentum number J can exist which are determined by a transcendental equation involving the partial wave Green function of the unperturbed Dirac monopole problem
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