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We propose a complete tomographic reconstruction of any vortex state carrying orbital angular momentum. The scheme determines the angular probability distribution of the state at different times under free evolution. To represent the…

Quantum Physics · Physics 2008-12-17 I. Rigas , L. L. Sanchez-Soto , A. B. Klimov , J. Rehacek , Z. Hradil

Nuclear scissors modes are considered in the frame of Wigner function moments method generalized to take into account spin degrees of freedom and pair correlations simultaneously. A new source of nuclear magnetism, connected with…

Nuclear Theory · Physics 2015-02-20 E. B. Balbutsev , I. V. Molodtsova , P. Schuck

Single-reference coupled-cluster theory is an accurate and affordable computational method for the nuclear many-body problem. For open-shell nuclei, the reference state typically breaks rotational invariance and angular momentum must be…

Nuclear Theory · Physics 2022-08-03 G. Hagen , S. J. Novario , Z. H. Sun , T. Papenbrock , G. R. Jansen , J. G. Lietz , T. Duguet , A. Tichai

The coupled dynamics of low lying modes and various giant resonances are studied with the help of the Wigner Function Moments method generalized to take into account spin degrees of freedom and pair correlations simultaneously. The method…

Nuclear Theory · Physics 2017-05-24 E. B. Balbutsev , I. V. Molodtsova , P. Schuck

By employing the angular momentum projection technique we propose a method to reliably calculate the quantum spectrum of nuclear collective rotation. The method utilizes several cranked mean-field states with different rotational…

Nuclear Theory · Physics 2019-12-06 Mitsuhiro Shimada , Shingo Tagami , Yoshifumi R. Shimizu

Angular momentum projection plays a key role in studying quantum many-body systems with rotational invariance such as atomic nuclei. At a given spin $J$, one can generate $2J+1$ angular momentum projected states labeled with $-J\leq K \leq…

Nuclear Theory · Physics 2024-09-09 Xiao Lu , Zhan-Jiang Lian , Zao-Chun Gao

The number and nature of atomic configurations are cornerstones of atomic spectroscopy, especially for the calculation of hot-plasma radiative properties. The knowledge of the distributions of magnetic quantum number $M$ and angular…

Atomic Physics · Physics 2025-09-10 Jean-Christophe Pain , Xavier Blanc

We extend coupled-cluster theory performed on top of a Slater determinant breaking rotational symmetry to allow for the exact restoration of the angular momentum at any truncation order. The main objective relates to the description of…

Nuclear Theory · Physics 2015-06-22 T. Duguet

A unified vision of the symmetric coupling of angular momenta and of the quantum mechanical volume operator is illustrated. The focus is on the quantum mechanical angular momentum theory of Wigner's 6j symbols and on the volume operator of…

We consider the Schwinger's method of angular momentum addition using the SU(2) algebra with both a fermionic and a bosonic oscillator. We show that the total spin states obtained are: one boson singlet state and an arbitrary number of…

Physics Education · Physics 2007-05-23 F. M. Mejia , V. Pleitez

Angular momentum projection is used to obtain eigen states of angular momentum from general wave functions. Multi-configuration mixing calculation with angular momentum projection is an important microscopic method in nuclear physics. For…

Nuclear Theory · Physics 2016-09-02 Yasutaka Taniguchi

The formation of angulon, stemming from the rotor (molecule or impurity) rotating in the quantum many-body field, adds a new member in the quasiparticle's family and has aroused intensively interests in multiple research fields. However,…

Mesoscale and Nanoscale Physics · Physics 2023-05-08 Yi-Yan Liu , Yu Cui , Xiao-Zhe Zhang , Ran-Bo Yang , Zhi-Qing Li , Zi-Wu Wang

Angular momentum projection is a basic technique in constructing nuclear wave functions with good spins. Traditionally, a projected nuclear wave function is expressed in terms of the bases built by performing the angular momentum projection…

Nuclear Theory · Physics 2026-04-15 Wen Chen , Zhan-Jiang Lian , Xue-Wei Li , Xin-Yang Xia , Zi-Yang He , Ke-Zheng Ruan , Zao-Chun Gao

The coupled dynamics of low lying modes, including the scissors mode, and various giant quadrupole resonances are studied with the help of the Wigner Function Moments method generalized to take into account spin degrees of freedom.…

Nuclear Theory · Physics 2015-05-28 E. B. Balbutsev , I. V. Molodtsova , P. Schuck

The variational two-electron reduced density matrix (v2RDM) method is generalized for the description of total angular momentum ($J$) and projection of total angular momentum ($M_{J}$) states in atomic systems described by non-relativistic…

Chemical Physics · Physics 2022-08-05 Run R. Li , Nicholas C. Rubin , A. Eugene DePrince

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

The damping of collective rotational motion is investigated by means of particles-rotor model in which the angular momentum coupling is treated exactly and the valence nucleons are in a multi-$j$ shell mean-field. It is found that the onset…

Nuclear Theory · Physics 2009-11-10 Lu Guo , Jie Meng , Enguang Zhao , Fumihiko Sakata

Projection of many-body states with good angular momentum from an initial state is usually accomplished by a three-dimensional integral. We show how projection can instead be done by solving a straightforward system of linear equations. We…

Nuclear Theory · Physics 2017-12-06 Calvin W. Johnson , Kevin D. O'Mara

Structured light fields exploit spin and orbital angular momentum for precision manipulation, advanced imaging, and high-capacity communication. Orbital angular momentum coherent state beams interpolate between Hermite- and…

We examine the mode entanglement and correlation of two fermionic particles. We study the one- and two-mode entropy and a global characteristic, the one-body entanglement entropy. We consider not only angular momentum coupled states with…

Nuclear Theory · Physics 2021-02-03 A T Kruppa , J Kovács , P Salamon , Ö Legeza
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