The influence of electrostatic multipole moments up to hexadecapole on the dynamics of photodissociated carbon monoxide (CO) in myoglobin is investigated. The CO electrostatic potential is expressed as an expansion into atomic multipole moments of increasing order up to octopole which are obtained from a distributed multipole analysis. Three models with increasingly accurate molecular multipole...

The Cosmic Microwave Background CMB originates from an early stage in the history of the universe. Observed low multipole contributions of CMB fluctuations have motivated the search for selection rules from the underlying topology of 3-space. Everitt (2004) has generated all homotopies for Platonic spherical 3-manifolds by face gluings. We transform the glue generators into isomorphic deck tran...

A. V. Meremianin∗ Max-Planck-Institute for the Physics of Complex Systems, Nöthnitzer Str. 38, 01187, Dresden, Germany and REC-010, Voronezh State University, 394006, Voronezh, Russia (Dated: October 24, 2005) Abstract The technique of vector differentiation is applied to the problem of the derivation of multipole expansions in four-dimensional space. Explicit expressions for the multipole expa...

Abstract The multipole expansion of a nano-photonic structure’s electromagnetic response is versatile tool to interpret optical effects in nano-optics, but it only gives access the modes that are excited by specific illumination. In particular study various illuminations requires multiple, costly numerical simulations. Here we present formalism call “generalized polarizabilities”, which combine...

A combined density functional theory and resonant elastic x-ray scattering technique is implemented to demonstrate the role of charge multipole correlation order in a 5$d$${}^{1}$ double perovskite compound that driven by complex coupled spin, charge, multipole, structural order.

We present, for the first time, an action principle that gives the equations of motion of an extended body possessing multipole moments in an external gravitational field, in the weak field limit. From the action, the experimentally observable quantum phase shifts in the wavefunction of an extended object due to the coupling of its multipole moments with the gravitational field are obtained. Al...

The fast multipole method is one of the most efficient methods to compute matrix-vector multiplications and accelerate the solution of linear systems of equations. In this paper, we provide all necessary theoretical statements concerning the hydrodynamical double layer potential, which enable the application of an adaptive version of the fast multipole method of Greengard and Rokhlin to the int...

A notion of quantum multipole (in particular, dipole) noise is considered. Quantum dipole noise is an analogue of quantum white noise but it acts in a Fock space with indefinite metric. Quantum white noise describes the leading term in the stochastic limit approximation to quantum dynamics while quantum multipole noise describes corrections to the leading term. We obtain and study generalized q...

Collective surface excitations in alkali-metal overlayers are observed using photoyield spectroscopy. Spectra for Na and K on Al~111! reveal a multipole surface plasmon and bulklike overlayer plasmon. In contrast, Li on Al exhibits only the multipole mode. In the submonolayer regime, all three alkali metals provide evidence for the threshold excitation. Time-dependent density-functional calcula...

We analyze radiation reaction for synchrotron radiation by computing, via a multipole expansion, the near field evaluated on the world-line of the charge. We find that the temporal component of the self four-force agrees with the radiated power, which one calculates in the radiation zone. This is the case for each mode in the multipole decomposition. We also find agreement with the Abraham-Lore...