Møller was right

Direct calculation proves that the total energy-momentum vector derived from the Møller energy-momentum complex from 1958 does not transform like a free 4-vector with respect to the Lorentz transformation. This conforms with the conclusion formulated by Møller himself, but it contradicts the result of the critical analysis of Kovacs. Defects in Kovacs argumentation are found.     

Parity-violating M?ller scattering

The A4 collaboration at the MAMI accelerator at Mainz investigates the contribution of strange quarks to the form factors of the nucleon by measuring the parity violating asymmetry A _PV in the cross section of elastic scattering of longitudinally polarized electrons off hydrogen and deuterium. Recently, measurements at backward angles at a four momentum transfer of Q ²?=?0.22 GeV² were completed. Together with previous results at forward angles at the same momentum transfer, the strange electric and magnetic form factors $G_E^s$ and $G_M^s$ can be disentangled.     

Teichmüller spaces of string theory

Conclusion In Section 4 we saw thatP-lines which are related to Jenkis-Strebel differentials (for example, harmonicP-lines) describe a world sheet which has to be created and which has to decay. In Bugajska (1990), 1991) we obtained thatP-line satisfying theP-condition is associated to reductions of appropriate holomorphicSL(2, ) bundles (over Riemann surfaces determined by this line) to theSU(2) group. This means (Bugajska, 1990, 1991) that we have to deal withSU(2) bundles over Riemann surfaces equipped with a concrete connectionA. If we interpret this connection as a gauge field of weak interaction (which is responsible for a process of decay), then we see that these completely different approaches yield the same physical situation, namely decay and creation. Moreover, holomorphic quadratic differentials which satisfy theP-condition seem to be just Jenkins-Strebel differentials, or at least most of them (it is still an open question).     

A TQFT from Quantum Teichmüller Theory

By using quantum Teichmüller theory, we construct a one parameter family of TQFTs on the categroid of admissible leveled shaped 3-manifolds.     

Photoionisation of atoms and Möller operators

The motion of an hydrogenoïd atom in a laser field is usually given by the time-dependent hamiltonian H(t)=[p?A(t)]²/2+V(r) where V(r) is the atomic potential whileA(t) is to be connected with the laser field. The existence and unicity for the Cauchy problem of the solutions of the corresponding Schrödinger equation are established under mild conditions onA(t) and V(r). The existence of Möller operators is investigated in two cases, namely, when the laser field is a function of time only and when it vanishes asymptotically in time. Special attention is paid for the Coulomb case for which a “distorted” Möller operator is derived. Finally, when the laser field vanishes ast→∞, the photoionisation probability is properly defined by means of the Möller operator $$\Omega (H_{At} ,H) = s - \mathop {\lim }\limits_{t \to \infty } U_{At} (t)^{ - 1} U(t)$$ , whereU(t) is the evolution operator for the system whileU _Att (t) is the evolution operator for the atom.     

商函数运算与Mller变换

利用商函数的运算性质推导了加速系的洛仑兹变换式,进而推出了Mller变换. 关键词： 相对论 Mller变换     

Grothendieck–Teichmüller and Batalin–Vilkovisky

It is proven that, for any affine supermanifold M equipped with a constant odd symplectic structure, there is a universal action (up to homotopy) of the Grothendieck–Teichmüller Lie algebra ${\mathfrak{grt}_1}$ on the set of quantum BV structures (i.e. solutions of the quantum master equation) on M.     

The decorated Teichmüller space of punctured surfaces

A principal ₊ ⁵ -bundle over the usual Teichmüller space of ans times punctured surface is introduced. The bundle is mapping class group equivariant and admits an invariant foliation. Several coordinatizations of the total space of the bundle are developed. There is furthermore a natural cell-decomposition of the bundle. Finally, we compute the coordinate action of the mapping class group on the total space; the total space is found to have a rich (equivariant) geometric structure. We sketch some connections with arithmetic groups, diophantine approximations, and certain problems in plane euclidean geometry. Furthermore, these investigations lead to an explicit scheme of integration over the moduli spaces, and to the construction of a universal Teichmüller space, which we hope will provide a formalism for understanding some connections between the Teichmüller theory, the KP hierarchy and the Virasoro algebra. These latter applications are pursued elsewhere.Partially supported N.S.F. grant DMS 8601162     

MΦller＇s Energy of Kerr-NUT Metric

The energy distribution of the Kerr-NUT （Newman-Unti-Tamburino） spacetime is calculated using MΦller＇s energy-momentum complex within the framework of the Riemannian geometry.     

Universal Teichmüller space in geometry and physics

Lipman Bers' universal Teichmüller space, classically denoted by T(1), plays a significant role in Teichmüller theory, because all the Teichmüller spaces T(G) of Fuchsian groups G can be embedded into it as complex submanifolds. Recently, T(1) has also become an object of intensive study in physics, because it is a promising geometric environment for a non-perturbative version of bosonic string theory. We provide a non-technical survey of what is currently known about the geometry of T(1) and what is conjectured about its physical meaning. Our bibliography should be rather comprehensive, but we apologize for any unjustified omissions.     

获得Mller变换的一种新方法

利用所获得的n次相继洛伦兹变换的显式，导出了任意加速系到惯性系的坐标变换式，推广了Mller变换的适用范围. 关键词：     

获得MΦller变换的一种新方法

利用所获得的ｎ次相继洛伦兹变换的显式，导出了任意加速系到惯性系的坐标变换式，推广了Ｍｌｅｒ变换的适用范围．     

One-loop chiral amplitudes of Møller scattering process

The high energy amplitudes of the large angles Møller scattering are calculated in the frame of chiral basis in Born and 1-loop QED level. Taking into account as well the contribution from emission of soft real photons the compact relations free from infrared divergences are obtained. The expressions for the contributions to the cross section of individual chiral amplitudes are in agreement with renormalization group predictions.