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We study the implications of the existence of two equalities between the elements or cofactors of the neutrino mass matrix. There are sixty five structures of this type for each case. Phenomenological implications for unknown parameters…

High Energy Physics - Phenomenology · Physics 2013-04-29 S. Dev , Radha Raman Gautam , Lal Singh

The quantum cat map is a model for a quantum system with underlying chaotic dynamics. In this paper we study the matrix elements of smooth observables in this model, when taking arithmetic symmetries into account. We give explicit formulas…

Number Theory · Mathematics 2009-11-13 Dubi Kelmer

We discuss a test of a recently proposed approach to determine average pairing matrix elements within a given interval of single-particle states (sp) around the Fermi level $\lambda$ as obtained in the so-called uniform gap method (UGM). It…

Nuclear Theory · Physics 2024-09-18 T. V. Nhan Hao , N. N. Bao Nguyen , D. Quang Tam , P. Quentin , Meng-Hock Koh , L. Bonneau

A quantum mechanical theory is proposed which abandons an external parameter ``time'' in favor of a self-adjoint operator on a Hilbert space whose elements represent measurement events rather than system states. The standard quantum…

Quantum Physics · Physics 2009-09-29 Kim Bostroem

We present a systematic semiclassical model for the simulation of the dynamics of a single two-level atom strongly coupled to a driven high-finesse optical cavity. From the Fokker-Planck equation of the combined atom-field Wigner function…

Quantum Physics · Physics 2009-11-06 Peter Domokos , Peter Horak , Helmut Ritsch

Low-energy neutrino interactions with isolated nucleons are accurately described by the effective theory based on Fermi's groundbreaking description of neutron $\beta$-decay. On the other hand, the extension of this scheme to the case of…

Nuclear Theory · Physics 2026-04-28 Omar Benhar

When a one-atom maser is operated in the standard way -- excited, resonant two-level atoms traverse the resonator at random times -- the emerging atoms are entangled with the cavity field. As a consequence, the results of measurements on…

Quantum Physics · Physics 2007-05-23 Berthold-Georg Englert , Pavel Lougovski , Enrique Solano , Herbert Walther

A semi-empirical formula for the electroweak response functions in the two-nucleon emission channel is proposed. The method consists in expanding each one of the vector-vector, axial-axial and vector-axial responses as sums of six…

Nuclear Theory · Physics 2022-01-05 V. L. Martinez-Consentino , J. E. Amaro , I. Ruiz Simo

A consistent analytical approach for calculation of the quasiclassical radial dipole matrix elements in the momentum and coordinate representations is presented. Very simple but relatively precise expressions for the matrix elements are…

Atomic Physics · Physics 2008-02-03 B. Kaulakys

Understanding the formation of Cooper pairs and the resulting thermodynamic properties of a low-dimensional Fermi gas is an important area of research, elucidating our understanding of high temperature superconductors. In lower dimensions…

Quantum Gases · Physics 2016-02-16 Brendan C. Mulkerin , Kristian Fenech , Paul Dyke , Chris J. Vale , Xia-Ji Liu , Hui Hu

The two-nucleon spectral function in nuclear matter is studied using Correlated Basis Function perturbation theory, including central and tensor correlations produceded by a realistic hamiltonian. The factorization property of the…

Nuclear Theory · Physics 2009-10-31 Omar Benhar , Adelchi Fabrocini

A new formalism, called "tensor optimized Fermi sphere (TOFS) method", is developed to treat the nuclear matter using a bare interaction among nucleons. In this method, the correlated nuclear matter wave function is taken to be a power…

Nuclear Theory · Physics 2019-02-12 Taiichi Yamada

We review various semiclassical models for strong-field physics. These semiclassical models employ ensembles of classical trajectories to simulate electron motion in the continuum after being released from an atom or molecule by an external…

Atomic Physics · Physics 2025-10-16 Nikolay Shvetsov-Shilovski

By using the scaling method we derive the virial theorem for the relativistic mean field model of nuclei treated in the Thomas-Fermi approach. The Thomas-Fermi solutions statisfy the stability condition against scaling. We apply the…

Nuclear Theory · Physics 2010-12-23 S. K. Patra , M. Centelles , X. Vinas , M. Del Estal

We study the RPA equations in their most general form by taking the matrix elements appearing in the RPA equations as random. This yields either a unitarily or an orthogonally invariant random-matrix model which is not of the Cartan type.…

Nuclear Theory · Physics 2009-08-05 X. Barillier-Pertuisel , O. Bohigas , H. A. Weidenmueller

The equation of state (EOS) for neutron star (NS) crusts is studied in the Thomas-Fermi (TF) approximation using the EOS for uniform nuclear matter obtained by the variational method with the realistic nuclear Hamiltonian. The parameters…

Nuclear Theory · Physics 2010-01-07 H. Kanzawa , M. Takano , K. Oyamatsu , K. Sumiyoshi

We propose a systematic T-matrix approach to solve few-body problems with s-wave contact interactions in ultracold atomic gases. The problem is generally reduced to a matrix equation expanded by a set of orthogonal molecular states,…

Quantum Gases · Physics 2015-03-17 Xiaoling Cui

We study the dynamics of many-body Fermi systems, for a class of initial data which are close to quasi-free states exhibiting a nonvanishing pairing matrix. We focus on the mean-field scaling, which for fermionic systems is naturally…

Mathematical Physics · Physics 2024-10-01 Stefano Marcantoni , Marcello Porta , Julien Sabin

A method to calculate the mean squared matrix element of weak interaction between compound states is developed. The result is expressed in terms of matrix elements of the nucleon-nucleon strong and weak interactions times the Fermi…

Nuclear Theory · Physics 2009-01-23 V. V. Flambaum , O. K. Vorov

In the first part of this paper, we use the framework of the Fermi liquid theory to derive model-independent relations between the slope parameters of the symmetry energy and of the incompressibility in nuclear matter to three-particle…

Nuclear Theory · Physics 2025-12-01 Wolfgang Bentz , Ian C. Cloët
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