摘要:

AbstractBasic facts about the summation of divergent power series are reviewed, both for series with non vanishing and for series with vanishing convergence radius. Particular attention is paid to the recent development that makes it possible, in the former case, to define summation in the whole Mittag‐Leffler star and, in the latter case, to define summation when the point of expansion lies at the tip of a horn‐shaped analyticity domain with zero opening angle. Relevance of these results to perturbative QCD is stressed in relation to current discussions concerning large‐order estimates of perturbative QCD expansion coeffic

ISSN:0015-8208    

DOI:10.1002/prop.2190420802

出版商:WILEY‐VCH Verlag    

年代:1994

数据来源: WILEY

摘要:

AbstractA general method is used to construct explicitly the quadratic invariants for two dimensional classical dynamical systems. The solutions of the “potential” equations are considered for both time dependent (TD) and time independent (TID) systems dealing mainly with the noncentral potentials. While several interesting integrable TID systems are found, which may have applications in solid state physics and molecular chemistry, an explicit construction of the invariants for a large class of TD systems is carried out which may again be useful in quantum optics and astronomy. In particular, the problem of noncentral TD harmonic oscillator in its varied form is dealt with in some deta

ISSN:0015-8208    

DOI:10.1002/prop.2190420803

出版商:WILEY‐VCH Verlag    

年代:1994

数据来源: WILEY

摘要:

AbstractIn classical physics the electromagnetic equations are described by Maxwell's equations. Maxwell's equations proved to be invariant under gauge, or Lorentz transformations. Also, Einstein's equations of the special theory of relativity are invariant under Lorentz transformations. On the other hand classical mechanics and quantum mechanics laws are invariant under Galilean transformations. This means that, there are two different dynamical structures describing our universe. Einstein's unified field theory failled in putting our universe in one dynamical structure.New electromagnetic and force field equations are going to be derived. They have the same shape like Maxwell's equations, but with different dynamical structure. Those equations are invariant under Galilean transformations and in the density matrix formalism of quantum mechanics.

ISSN:0015-8208    

DOI:10.1002/prop.2190420804

出版商:WILEY‐VCH Verlag    

年代:1994

数据来源: WILEY

摘要:

AbstractThefolded LC‐circuit is studied from quantum mechanical point of view. New equations relating the current, voltage, electric, magnetic, and force fields are derived. The dynamical electromagnetic and force field equations are proved to be invariant under Galilean transformatio

ISSN:0015-8208    

DOI:10.1002/prop.2190420805

出版商:WILEY‐VCH Verlag    

年代:1994

数据来源: WILEY

摘要:

AbstractThe paper deals with studies of the angular correlation of two mono‐energetic particles produced in several fundamental processes in quantum field theory. The angular correlation is defined as the average (expectation value) of the cosine of the angle between the momenta of the two outgoing particles. A positive correlation indicates, in a statistical sense, that the particles tend to travel in the same directions (as in beam formation) while a negative one indicates that they tend to travel in opposing directions. The angular correlations for photons and electrons produced by sources, and in quantum eletrodynamics, to lowest order, γγ produced in e+e−collision (annihilation), e+e−pair production in γγ collision, and finally e+e−pair production by a Nambu string are studie

ISSN:0015-8208    

DOI:10.1002/prop.2190420806

出版商:WILEY‐VCH Verlag    

年代:1994

数据来源: WILEY

ISSN:0015-8208    

DOI:10.1002/prop.2190420801

出版商:WILEY‐VCH Verlag    

年代:1994

数据来源: WILEY