Search results for "Formalism"

Le tre concezioni dell'interpretazione giuridica

2013

Interpretazione giuridica, principi e valori

2012

Publisher's Note: "Thermodynamic formalism for transport coefficients with an application to the shear modulus and shear viscosity" [J. Chem. Phys. 1…

2017

Kwalifikacja pisma procesowego jako apelacji lub wniosku o doręczenie wyroku z uzasadnieniem. Glosa do uchwały Sądu Najwyższego - Izba Pracy i Ubezpi…

2022

The commented resolution of the Supreme Court concerns the classification of a pleading filed by an insured person, the content of which indicates that the person disagrees with a decision on the merits of the case, in the context of doubts as to whether the pleading constitutes an appeal or a request for the service of a judgment with a statement of reasons. The Supreme Court held that if this type of uncertainty arises, the court should take action to clarify the real intention of the party, i.e. summon the insured person, on pain of returning the pleading, to remedy the formal defect of failing to identify the type of pleading. This view has been justified with good arguments, in particu…

Covariant Operator Formalism for Quantized Superfields

1988

The Takahashi-Umezawa method of deriving the free covariant quantization relations from the linear equations of motion is extended to superfields. The Cauchy problem for free superfields is solved, and an expression for the time independent scalar product is given. For the case of interacting fields, we give the general Kallen-Lehmann spectral representation for the two-point superfield Green functions and, after the introduction of the asymptotic condition for superfields, we give the superfield extension of the Yang-Feldman equation. The case of the D = 2 real scalar superfield and the case of the D = 4 chiral superfield are discussed in detail.

Commutators, C0-semigroups and resolvent estimates

2004

Abstract We study the existence and the continuity properties of the boundary values on the real axis of the resolvent of a self-adjoint operator H in the framework of the conjugate operator method initiated by Mourre. We allow the conjugate operator A to be the generator of a C 0 -semigroup (finer estimates require A to be maximal symmetric) and we consider situations where the first commutator [ H ,i A ] is not comparable to H . The applications include the spectral theory of zero mass quantum field models.

Rovibrational spectroscopy of ethylene : Stark effect : Application to ethylene in zeolites

2010

The objective of this report is to present a study as complete as possible of the Stark effect in the asymmetric top molecules of X2Y4 type possessing the D2h symmetry group and to apply it to the problem of the spectroscopy of the ethylene molecule trapped in a zeolite. For the first time, a tensorial formalism adapted to the study of the Stark effect for the O(3) D2h group chain was developed. In parallel, a computer package was worked out as a new generation of software called D2hTDS-ST using a simpler basis, allowing an economy in the calculation time. On the basis of the theoretical and computing tools as well as from the experimental spectra, recorded in the laboratory, we made a firs…

ROVIBRATIONAL AND STARK SPECTROSCOPY OF THE X2Y4MOLECULES. APPLICATION TO ETHYLENE

2005

This thesis is devoted to the spectroscopy of ethylene in the aim of studying the molecule trapped in zeolites. The first part deals with the tensorial model adapted to the symmetry of the isolated molecule: formalism, Hamiltonian and transition moments. To take the strong electric fields existing into zeolites into account, an extension of the model to the Stark effect is proposed in the second part. The third part describes the programs of the D2hTDS software which have been built for the calculation and analysis of X2Y4-type molecule spectra. The fourth part presents applications to the calculation and analysis of zero-field and Stark ethylene spectra. In particular, the model has been t…

New Analytical Tools for Evaluation of Spherical Aberration in Optical Microscopy

2010

The required tightly focused spots in three-dimensional (3D) scanning optical techniques are usually achieved by high-NA immersion lenses. The refractive index mismatch between the sample and the immersion medium introduces an important amount of spherical aberration when imaging deep inside the specimen, spreading out the focusing response. Since this aberration depends on the focalization depth, it is not possible to simultaneously achieve a global compensation for the whole scanned sample. In this way, the design of pupil elements that increase the tolerance to this aberration is of great interest. We present a new formalism for the evaluation and the design of filters that decrease the …

Time-Dependent Reduced Density Matrix Functional Theory

2012

In this chapter we will give an introduction into one-body reduced density matrix functional theory (RDMFT). This is a rather new method to deal with the quantum many-body problem. Especially the development of a time-dependent version, TDRDMFT , is very recent. Therefore, there are many open questions and the formalism has not crystalized yet into a standard form such as in (TD)DFT. Although RDMFT has similarities with DFT, there are many more differences. This chapter is too short for a full introduction into the wondrous world of RDMFT, but we hope to give an idea what (TD)RDMFT might bring.