17711121
Boundary conditions at spatial infinity for fields in Casimir calculations
The importance of imposing proper boundary conditions for fields at spatial infinity in the Casimir calculations is elucidated.
126085042
ON THE INTERPRETATION OF THE NOETHER IDENTITIES
121750447
Derivation of an expression for a Hamiltonian functional integral in theories with first and second class constraints
A Hamiltonian functional integral in theories with first and second class constraints (both stationary and nonstationary) is derived in a simple and consistent manner. The gauge conditions need not be in involution and may contain the time explicitly. In contrast to other studies, much attention is devoted to the proof of the Hamiltonicity of the theory on the physical submanifold Gamma* of the phase space Gamma. It is shown that ..delta../sup -1/, where D is the Faddeev-Popov determinant, is simply the volume element of the subspace Gamma = Gamma/Gamma* in noncanonical coordinates determined by the constraints and gauge conditions. It is proved that the expression for the functional integral is invariant under finite transformations of the gauge conditions.
121905919
Eikonal approximation for high-energy inclusive processes
118808799
Introduction to the relativistic string theory
This book presents a systematic and detailed account of the classical and quantum theory of the relativistic string and some of its modifications. Main attention is paid to the first-quantized string theory with possible applications to the string models of hadrons as well as to the superstring approach to unifications of all the fundamental interactions in the elementary particle physics and to the “cosmic” strings. Some new aspects are provided such as the consideration of the string in an external electromagnetic field and in the space-time of constant curvature (the de Sitter universe), the relativistic string loaded by point-like masses and the Cartan method for describing the classical string dynamics. The relativistic membranes and p-branes are also considered briefly. The book is sufficiently self-contained and can be considered as an introduction to this new and fast developing branch of the elementary particle physics.
118320834
Surface modes and photonic modes in Casimir calculations for a compact cylinder
A rigorous formulation of the problem of calculating the electromagnetic vacuum energy of an infinite dielectric cylinder is discussed. It is shown that the physically relevant spectrum of electromagnetic excitations includes the surface modes and photonic modes. The mathematical procedure of summing over this spectrum is proposed, and the transition to imaginary frequencies is accomplished. As a result, the imaginary-frequency representation for the vacuum energy is justified which has been used in previous Casimir studies for this configuration.
118802177
Vibrating potential model for giant resonances in deformed metal clusters and atomic nuclei
The vibrating potential model is extended to provide a description of giant resonances in metal clusters and atomic nuclei with any kind of deformation.
121516467
CollectiveEλ excitations of surface character in spherical and deformed sodium clusters: vibrating potential model
The self-consistent vibrating potential model (VPM) is extended for the description ofEλ surface collective excitations in alkali metal clusters with practically any kind of static deformation. The case of spherical clusters is also covered. Any single-particle potentials and valence electron densities for which the coefficients of the multipole expansion are known can be used within the model. The strength function method incorporated into the model allows one to avoid solving the equations for every state and, as a result, simplifies the calculations drastically. The model is of a quite general character and can also be used for description of giant resonances in atomic nuclei if the Coulomb terms are neglected. The VPM is applied to calculate theE1,E2 andE3 excitations in spherical (Na8, Na20 and Na40) and deformed (Na10, Na18 and Na26) clusters.
120815334
Local Quark - Hadron Duality and Nucleon Form-factors in {QCD}
Abstract Quark-hadron duality is incorporated to estimate the non-perturbative O(α 0 S -contribution to the nucleon form factors G N E,M ( t ). For 1 t 2 the results are in satisfactory agreement with the existing data. This means that the observed dipole behaviour of G N ( t ) has nothing to do with the short distance dynamics.
123206973
The interior of the charge transition density and the structure of low-lying states in deformed nuclei
The RPA calculations of charge transition densities (CTD) rho lambda mu nu (r) for the E2 transitions from the ground state to the low-lying Ipi Knu =2+2nu and 2+0nu states in 164Dy predict rather strong peaks of single-particle nature in the interior of the CTD. A simple explanation of the results is given. The reliability of the results obtained, their possible application to the study of the structure of low-lying states and some predictions for nuclei of the rare-earth region are discussed.
120050425
KAON ELECTROMAGNETIC RADIUS
We obtain a QCD sum rule for the kaon form factor at small Q2. It determines, with a rather good accuracy, the kaon charge radius which is in agreement with the experimental value. We also discuss a sum rule for the difference .