System Plus Reservoir Approach to Quantum Brownian Motion of a Rod-Like Particle

Quantum Brownian motion of a rod-like particle is investigated in the frame work of system plus reservoir model. The quantum mechanical and classical limit for both translational and rotational motions are discussed. Correlation functions, fluctuation-dissipation relations and mean squared values of translational and rotational motions are obtained.     

On the rotational diffusion of rod-like macromolecules in lyotropic-mesomorphic phases

The rotational diffusion of rod-like macromolecules, idealized as monodisperse rods, in concentrated solution is considered. The Doi-Edwards model is modified to explain the experimentally observed increase of the rotational relaxation time with increasing concentration in the lyotropic-nematic phase of rigid rod-like molecules in solution. Our approach consists in (i) reconsidering the original Doi-Edwards model to eliminate unphysical behaviour of the rotational relaxation time at the limit of perfect order, and (ii) including concentration effects on the translational diffusivity of rods in the Doi-Edwards model. Predictions of the corrected model are compared with steady flow viscosity data for poly(n-alkylisocyanates). In the lyotropic-nematic phase a very good qualitative agreement between the theory and experiment is observed. Additionally, the model applied to a highly concentrated isotropic phase explains in a natural way the viscosity behaviour as the concentration is increased towards the critical value for formation of the lyotropic-nematic phase.     

Low-lying spectra and E2 transition rates in 160-170Er isotopes in the interaction boson model

Spectra and E2 transition rates for the 160-170Er isotopes are studied in the framework of the interaction boson model. A schematic Hamiltonian able to describe their spectra and B(E2) transition is used.It is found that the 160-170Er isotopes are in the transition from the vibrational limit to rotational limit.     

High resolution photoassociation spectra of an ultracold Cs2 long-range 0u＋ （6S1/2 ＋ 6P1/2） state＊

In this paper, ultracold cesium molecules are formed through photoassociation technology, which is carried out in a magneto-optical trap. High resolution photoassociaion spectra with the rotational progressions up to J = 7 are obtained. Three rovibrational levels of the long-range 0＋ state of Cs2 below the （6S1/2 ＋ 6P1/2） dissociation limit are specifically investigated. By fitting their binding energy intervals to the non-rigid rotational model, the rotational constant of the long- range 0u＋ state is determined. A proportional dependence of the value of the rotational constant on the vibrational quantum number is demonstrated.     

^140-262Gd核的低能谱和电磁跃迁的相互作用玻色子模型

采用相互作用玻色子模型研究了^140-262Gd偶偶核的低能谱和电磁跃迁，应用一个U（5）→SU（3）的简化哈密顿量很好地描述它们的低能谱和电磁跃迁过渡．结果表明^140-262Gd同位素核基本上属于U（5）→SU（3）的过渡核．     

140-162Gd核的低能谱和电磁跃迁的相互作用玻色子模型

采用相互作用玻色子模型研究了140-162Gd偶偶核的低能谱和电磁跃迁,应用一个U(5)→SU(3)的简化哈密顿量很好地描述它们的低能谱和电磁跃迁过渡.结果表明140-162Gd同位素核基本上属于U(5)→SU(3)的过渡核.     

The Structure of the Neutron-Rich Nd Isotopes in the IBM

The spectra and E2 transition properties of ^146-156Nd isotopes are studied in the interacting boson model in the light of new experimental data. It is found that ^146-150Nd are in the transition from the vibrational limit to the rotational limit. From ¹⁵²Nd onward, the isotopes are nearly perfect rotors. Possible deformation saturation is discussed in the interacting boson model.     

Derivation of microscopic unified Bohr–Mottelson rotational model

In a previous article, we derived a microscopic version of the phenomenological Bohr–Mottelson unified rotational model for rotation about a single axis. In this article, we generalize the derivation to that for rotation about all the three axes. As in the previous derivation, we apply the nuclear Hamiltonian directly to the rotational-model wavefunction instead of using the usual canonical transformation. In this way, we avoid using redundant coordinates or imposing any constraints on the rotationally-invariant rotational-model intrinsic wavefunction. We show that, in the transformed nuclear Schrödinger equation, the Coriolis coupling term vanishes exactly only for a choice of the rotational-model Euler angles that is consistent with angle-angular momentum commutation relation and rotational invariance of the intrinsic wavefunction. For this choice of the Euler angles, the kinematic moment-of-inertia tensor, collective-rotation velocity field, and flow vorticity have the rigid-flow characteristics. This quantum rigid flow reduces to irrotational free-vortex flow in the limit of a single particle. We derive a microscopic effective rotation-intrinsic unified Schrödinger equation for the states of a rotational band that reduces to the phenomenological, unified, tri-axial quantum rigid-rotor model in the limit that the off-diagonal elements of the kinematic inertia tensor operator can be neglected. The model derivation shows that a multi-fermion system with unpaired or paired (quasi) particles rotates rigidly and a single-particle system rotates irrotationally if the intrinsic system is rotationally invariant.     

Theory of molecule-surface scattering at thermal and hyperthermal energies

A theoretical model of molecule-surface scattering is developed which includes energy and momentum transfers between the surface and projectile for both translational and rotational motions and internal mode excitation for the projectile molecule. The translation and rotation motions are treated in the classical limit, while a quantum treatment for internal vibrational mode excitation is used. The results of calculations are compared with recent high-precision measurements of the scattering of a beam of C(2)H(2) molecules from a clean, ordered LiF(001) surface at energies of up to nearly 1 eV. The calculated results for angular distributions and rotational excitations are in good agreement with experiment.     

An Asymptotic Limit of a Navier–Stokes System with Capillary Effects

A combined incompressible and vanishing capillarity limit in the barotropic compressible Navier–Stokes equations for smooth solutions is proved. The equations are considered on the two-dimensional torus with well prepared initial data. The momentum equation contains a rotational term originating from a Coriolis force, a general Korteweg-type tensor modeling capillary effects, and a density-dependent viscosity. The limiting model is the viscous quasi-geostrophic equation for the “rotated” velocity potential. The proof of the singular limit is based on the modulated energy method with a careful choice of the correction terms.     

Low-Lying Spectra and Electromagnetic Transition Rates in 140—162Gd in the Interacting Boson Model

Spectra and electromagnetic transition for the even-even ^140—162Gd isotopes are studied in the framework of the interacting boson model. A schematic Hamiltonian can be used to describe their spectra and transition. The results show that ^140—162Gd are in the transition from the vibrational limit to rotational limit.     

Translational and rotational diffusion of an anisotropic particle in a molecular liquid: Long-time tails and Brownian limit

Formally exact equations are written down, describing the translational and rotational diffusion of an anisotropic tagged particle in a fluid of anisotropic particles. These equations are tractable in the long-time limit, and reduce to the solution of ordinary hydrodynamic equations supplemented by slip boundary conditions in the Brownian limit for a smooth tagged particle. No rotational viscosities or spin-diffusion constants appear in these results. The relation to other work is discussed.     

Rigid rotators and diatomic molecules via Tsallis statistics

We obtain an analytic expression for the specific heat of a system of N rigid rotators exactly in the high temperature limit, and via a perturbative approach in the low temperature limit. We then evaluate the specific heat of a diatomic gas with both translational and rotational degrees of freedom, and conclude that there is a mixing between the translational and rotational degrees of freedom in nonextensive statistics.     

Interacting boson model of collective nuclear states II. The rotational limit

We discuss the rotational limit of the interacting boson model and bring attention to the possible existence of an unbroken SU(3) symmetry. We derive, within the framework of this symmetry, several analytic relations for energies and electromagnetic transition rates.     

相互作用玻色子模型中振转过渡区的特征研究

详细研究了相互作用玻色子模型中U(5)振动极限到SU(3)转动极限的相变行为.通过对能谱和E2跃迁强度等的分析,说明了在临界点的核具有最大的非刚性. Transitional patterns from the U(5) vibrational limit to the SU(3) rotational limit in the interacting Boson model are studied in detail. The transitional behavior of low-lying energy levels, isomer shifts, E2 transition rates, and some other related quantities across the entire region are investigated. The results show that nuclei in the critical region are most non-rigid.     

Two-particle transfer reactions with heavy-deformed nuclei

Detailed calculations of two-particle transfer reactions on heavy, deformed nuclei are carried out within the framework of the macroscopic model for pair transfer and the sudden limit for rotational excitation. The marked structure that appears as a general feature of the angular distributions is explained as an interference of amplitudes that correspond to different orientations of the deformed nucleus. A comparison to recent data supports the existence of this structure.     

New coupling limit for odd nuclei and truncated analog of Stephens basis

In the SU(3) limit of PTQM for particular intermediate particle-vibration coupling strengths Γ = ±Γ_SUSY there arise two complementary coupling limits, denoted as SUSY and coherent-SUSY schemes. The coherent-SUSY pattern is a truncated analog of the Stephens rotation-aligned model and the question of the analog of SUSY-scheme in the rotational model seems still open.     

Interacting boson model of collective nuclear states III. The transition from SU(5) to SU(3)

We study the transition from the vibrational, SU(5), to the rotational, SU(3), limit of the interacting boson model. We show how this model can be used to calculate energies, electromagnetic transitions, multipole moments, nuclear radii, and two-nucleon transfer intensities in transitional nuclei.     

Analysis of perturbed angular correlation spectra of metal ions bound to proteins with rotational correlation times in the intermediate region

The formulation by Dattagupta of the strong-collision model, describing the effect on the perturbation function,G ₂(t) by the isotropic tumbling of an electric field gradient, is generalized to electric field gradients with no axial symmetry. The effect on the perturbation function by strong collisions is compared to the effect of rotational diffusion in the adiabatic limit. The comparison is carried out for decays with an intermediate state of spin 5/2 and for non-axially symmetric electric field gradients. It shows that the strong-collision model can be used for interpretation of PAC spectra of molecules with correlation times between the adiabatic and the fast relaxation limits. The strongcollision model is then used to determine the rotational diffusion of the cadmium substituted copper, zinc superoxide dismutase at 3°C and 25°C from^111mCd TDPAC spectra. For these analyses, the model is incorporated into a conventional least-squares fitting routine.     

ΔI= 4 Bifurcation and the sdg Interacting Boson Model

We show that the superdeformed nuclear states can be described in the framework of the interacting boson model (IBM) with the g-bosons being taken into account in this paper.The ΔI= 4 bifurcation in superdeformed rotational bands can be reproduced in the SU(5) limit of the sdg IBM. The perturbation causing the ΔI= 4 bifurcation to emerge in the ΔI= 2 superdeformed rotational band may possess the SU(5) symmetry.