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The experimental evidence for the collective wobbling motion of triaxial nuclei is reviewed. The classification into transverse and longitudinal in the presence of quasiparticle excitations is discussed. The description by means of the…

Nuclear Theory · Physics 2024-07-02 Stefan Frauendorf

The wobbling motion of a triaxial rotor coupled to a high-j quasiparticle is treated semiclassi- cally. Longitudinal and transverse coupling regimes can be distinguished depending on, respectively, whether the quasiparticle angular momentum…

Nuclear Theory · Physics 2015-06-17 S. Frauendorf , F. Doenau

A triaxial rotor Hamiltonian with a rigidly aligned high-$j$ quasiparticle is treated by a time-dependent variational principle, using angular momentum coherent states. The resulting classical energy function have three unique critical…

Nuclear Theory · Physics 2018-02-07 R. Budaca

The selfconsistent cranking approach is extended to the case of rotation about an axis which is tilted with respect to the principal axes of the deformed potential (Tilted Axis Cranking). Expressions for the energies and the intra bands…

Nuclear Theory · Physics 2009-11-06 S. Frauendorf

A particle-triaxial rigid core Hamiltonian is semi-classically treated. The coupling term corresponds to a particle rigidly coupled to the triaxial core, along a direction that does not belong to any principal plane of the inertia…

Nuclear Theory · Physics 2022-01-26 C. M. Raduta , A. A. Raduta , R. Poenaru , Al. H. Raduta

The triaxiality of odd-mass nuclei is investigated by coupling a quasiparticle to an even-even core through the core-quasiparticle coupling model. Both soft and rigid triaxial cores are considered. The "soft core" is described by the…

Nuclear Theory · Physics 2022-11-30 Weichuan Li , Mark A. Caprio , Stefan Frauendorf

The entanglement and coherence of the wobbling mode are studied in the framework of the particle plus triaxial rotor model for the one-quasiparticle nucleus $^{135}$Pr and the two-quasiparticles nucleus $^{130}$Ba. The focus lies on the…

Nuclear Theory · Physics 2024-10-14 Q. B. Chen , S. Frauendorf

A triaxial particle-rotor Hamiltonian for three mutually perpendicular angular momentum vectors corresponding to two high-$j$ quasiparticles and the rotation of a triaxial collective core, is treated within a time-dependent variational…

Nuclear Theory · Physics 2018-08-01 R. Budaca

We discuss correspondence between the predictions of quantum theories for rotation angle formulated in infinite and finite dimensional Hilbert spaces, taking as example, the calculation of matrix elements of phase-angular momentum…

Quantum Physics · Physics 2007-05-23 Ramandeep S. Johal

We study the tomography of multispin quantum states in the context of finite-dimensional Wigner representations. An arbitrary operator can be completely characterized and visualized using multiple shapes assembled from linear combinations…

Quantum Physics · Physics 2018-01-16 David Leiner , Robert Zeier , Steffen J. Glaser

Angular momentum is important concept in physics, and its phase space properties are important in various applications. In this work phase space analysis of the angular momentum is made from its classical definition, and by imposing…

Quantum Physics · Physics 2019-05-15 S. Danko Bosanac

Orbital angular momentum eigenfunctions are readily understood in terms of spherical harmonic wavefunctions. However, the quantum mechanical phenomenon of spin is often said to be mysterious and hard to visualize, with no classical…

Physics Education · Physics 2013-09-26 Yen Lee Loh , Monica Kim

The spectroscopy properties and angular momentum geometry for the wobbling motion of a simple triaxial rotor are investigated within the triaxial rotor model up to spin $I=40\hbar$. The obtained exact solutions of energy spectra and reduced…

Nuclear Theory · Physics 2015-06-11 W. X. Shi , Q. B. Chen

In a calculation of rotated matrix elements with angular momentum projection, the generalized Wick's theorem may encounter a practical problem of combinatorial complexity when the configurations have more than four quasi-particles (qps).…

Nuclear Theory · Physics 2015-06-22 Long-Jun Wang , Fang-Qi Chen , Takahiro Mizusaki , Makito Oi , Yang Sun

Using the complete orthonormal basis sets of nonrelativistic and quasirelativistic orbitals introduced by the author in previous papers for particles with arbitrary spin the new analytical relations for the -component relativistic tensor…

Chemical Physics · Physics 2007-12-27 I. I. Guseinov

Twistors appear to provide a satisfactory treatment of angular momentum for gravitationally radiating systems. The approach is manifestly Bondi-Metzner-Sachs (BMS) invariant, and there are no supertranslation ambiguities. The resulting…

General Relativity and Quantum Cosmology · Physics 2021-12-01 Adam D. Helfer

We argue that due to Parity constraints, the helicity combination of the purely momentum space counterparts of the Wigner distributions -- the generalized transverse momentum distributions -- that describes the configuration of an…

High Energy Physics - Phenomenology · Physics 2015-06-17 Aurore Courtoy , Gary R. Goldstein , J. Osvaldo Gonzalez Hernandez , Simonetta Liuti , Abha Rajan

The structure of the nucleon wave function as a bound system of the constituent quarks was considered in framework of the quasipotential method of description of the bound states with a fixed number of particles. In the impulse…

High Energy Physics - Phenomenology · Physics 2007-05-23 T. P. Ilichova , S. G. Shulga

Rotating wave approximation in a quantum spin system driven by a linearly polarized alternating magnetic field with quadrupole interaction presents is investigated in detail in this paper. The conventional way to employ the rotating wave…

Quantum Physics · Physics 2020-10-16 Wenkui Ding , Xiaoguang Wang

Angular momentum is traditionally taught as a (pseudo)vector quantity, tied closely to the cross product. This approach is familiar to experts but challenging for students, and full of subtleties. Here, we present an alternative pedagogical…

Physics Education · Physics 2023-08-21 Steuard Jensen , Jack Poling
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