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The rigid-irrotational flow transformation in the previous microscopic cranking model (MCRM) for nuclear collective rotation about a single axis and its coupling to intrinsic motion is generalized. This generalization allow us to consider…

核理论 · 物理学 2017-09-12 Parviz Gulshani

Despite substantial growth in wind energy technology in recent decades, aerodynamic modeling of wind turbines relies on momentum models derived in the late 19th and early 20th centuries, which are well-known to break down under flow regimes…

流体动力学 · 物理学 2024-01-19 Jaime Liew , Kirby S. Heck , Michael F. Howland

The key elements of the Unified Model are reviewed and checked against modern experimental data. For medium-mass or heavy nuclei it is found that separation between collective and intrinsic degrees freedom becomes invalid for after exciting…

核理论 · 物理学 2018-04-04 Stefan Frauendorf

In this article, we transform the previously-derived microscopic rotational-model Schrodinger equation into a form suitable for describing oscillations-coupled-to-intrinsic motion in spherical nuclei. The resulting equation is decomposed…

核理论 · 物理学 2014-02-26 Parviz Gulshani

A microscopic time-reversal invariant cranking model (MCRM) for nuclear collective rotation about a single axis and its coupling to intrinsic motion is derived. The MCRM is derived by transforming the stationary nuclear Schrodinger equation…

核理论 · 物理学 2017-09-12 P. Gulshani

We derive in a simple manner and from first principles the Inglis semi-classical phenomenological cranking model for nuclear collective rotation. The derivation transforms the nuclear Schrodinger equation (instead of the Hamiltonian) to a…

核理论 · 物理学 2016-09-20 Parviz Gulshani

We propose a simple and systematic method to quantize the cranking model and to calculate the matrix elements of intrinsic operators entering the generalized intensity relations. An example of the application is given to show the Coriolis…

核理论 · 物理学 2009-10-30 Takashi Nakatsukasa , Yoshifumi R. Shimizu

Rotors operating in confined flows, or blockage, are commonly encountered in wind and water tunnels, as well as in shallow or dense deployments of hydrokinetic turbines. Confinement induces a streamwise pressure gradient in the channel,…

流体动力学 · 物理学 2026-03-10 I. M. L. Upfal , K. J. McClure , K. S. Heck , S. Pieris , J. W. Kurelek , M. Hultmark , M. F. Howland

The contribution of quantum shape fluctuations to inertial properties of rotating nuclei has been analysed within the self-consistent one-dimensional cranking oscillator model. It is shown that in even-even nuclei the dynamical moment of…

核理论 · 物理学 2009-11-07 R. G. Nazmitdinov , D. Almehed , F. Donau

Rotating quarks and hadronic systems, produced in peripheral heavy ion collisions, can experience Coriolis force and other forces due to rotational motion. Considering only the effect of Coriolis force, we have calculated the electrical…

核理论 · 物理学 2024-04-02 Ashutosh Dwibedi , Cho Win Aung , Jayanta Dey , Sabyasachi Ghosh

The Kerman-Klein formulation of the equations of motion for a nuclear shell model and its associated variational principle are reviewed briefly. It is then applied to the derivation of the self-consistent particle-rotor model and of the…

核理论 · 物理学 2009-11-06 Abraham Klein

Careful theoretical studies of the nuclear collective inertia based on the non-relativistic mean-field theory and the cranking model indicate that the moments of inertia of the super-deformed nuclei calculated using various standard methods…

核理论 · 物理学 2007-05-23 Nicolas Schunck , Jerzy Dudek

As examples of models having interesting constraint structures, we derive a quantum mechanical model from the spatial freezing of a well known relativistic field theory - the chiral Schwinger model. We apply the Hamiltonian constraint…

数学物理 · 物理学 2009-07-10 Sudipta Das , Subir Ghosh

Pair correlations are described in the framework of the HFB approximation applied to a uniformly rotating system (Cranking model). The reduction of the moments of inertia, the classification of rotational bands as multi quasiparticle…

核理论 · 物理学 2017-08-23 S. Frauendorf

Symmetry breaking is an importance concept in nuclear physics and other fields of physics. Self-consistent coupling between the mean-field potential and the single-particle motion is a key ingredient in the unified model of Bohr and…

The proposed temporal fluctuations model attempt for a unitary vision on gravity, electromagnetism and inertia. On obtain Newton law of gravitation and Coulomb law by starting from simple principles. On obtain too the main results of…

综合物理 · 物理学 2007-05-23 Viorel Drafta

Euler angle representation in biomechanical analysis allows straightforward description of joints rotations. However, application of Euler angles could be limited due to singularity called gimbal lock. Quaternions offer an alternative way…

医学物理 · 物理学 2025-09-08 Ondrej Zoufaly , Edward Chadwick , Dimitra Blana , Matej Daniel

A microscopic quantum ideal rotor-model Hamiltonian (distinct from that of Bohr's rotational model) is derived for a rotation about a single axis by applying a dynamic rotation operator to the deformed nuclear ground-state wavefunction. It…

核理论 · 物理学 2020-06-25 Parviz Gulshani

A novel modular modeling and control framework based on Lagrangian mechanics is proposed for multibody systems, motivated by the challenges of modular control of systems with closed kinematic chains and by the need for a modeling framework…

系统与控制 · 电气工程与系统科学 2026-03-31 Mohammad Dastranj , Jouni Mattila

The intensity relations for electromagnetic transition rates in the rotational coupling scheme have been a basic tool to understand the properties of nuclear collective rotations. In particular the correction terms to the leading-order…

核理论 · 物理学 2009-10-30 Yoshifumi R. Shimizu , Takashi Nakatsukasa
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