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We investigate minimal two-body Hamiltonians with random interactions that generate spectra resembling those of Gaussian random matrices, a phenomenon we term quadratic quantum chaos. Unlike integrable two-body fermionic systems, the…

High Energy Physics - Theory · Physics 2026-04-16 Pallab Basu , Suman Das , Pratik Nandy

We study the intramolecular vibrational energy redistribution (IVR) dynamics of an effective spectroscopic Hamiltonian describing the four coupled high frequency modes of CDBrClF. The IVR dynamics ensuing from nearly isoenergetic…

Chemical Physics · Physics 2007-05-23 Aravindan Semparithi , Srihari Keshavamurthy

Holographic models that consider classical vector fields in a 5-d background provide successful effective descriptions for heavy vector meson spectra. This holds both in the vacuum and in a thermal medium, like the quark gluon plasma.…

High Energy Physics - Phenomenology · Physics 2025-08-19 Nelson R. F. Braga , Yan F. Ferreira , William S. Cunha

The systems with multimode nonstationary Hamiltonians quadratic in position and momentum operators are reviewed. The tomographic probability distributions (tomograms) for the Fock states and Gaussian states of the quadratic systems are…

Quantum Physics · Physics 2007-05-23 V. I. Man'ko , V. A. Sharapov , E. V. Shchukin

General dynamic properties like controllability and simulability of spin systems, fermionic and bosonic systems are investigated in terms of symmetry. Symmetries may be due to the interaction topology or due to the structure and…

Quantum Physics · Physics 2011-11-28 Robert Zeier , T. Schulte-Herbrueggen

Rotational bands are commonly used in the analysis of the spectra of atomic nuclei. The early version of the interacting boson model of Arima and Iachello has been foundational to the description of rotations in nuclei. The model is based…

Nuclear Theory · Physics 2021-03-22 Victor Miguel Banda Guzman , Ruben Flores-Mendieta , Johann Hernandez

We study the energy spectrum of bottomonium in perturbative QCD, taking alpha_s(Mz)=0.1181 +/- 0.0020 as input and fixing m_b^{MSbar}(m_b^{MSbar}) on the Upsilon(1S) mass. Contrary to wide beliefs, perturbative QCD reproduces reasonably…

High Energy Physics - Phenomenology · Physics 2009-06-12 N. Brambilla , Y. Sumino , A. Vairo

We introduce a combination of coherent states as variational test functions for the atomic and radiation sectors to describe a system of Na three- level atoms interacting with a one-mode quantised electromagnetic field, with and without the…

Quantum Physics · Physics 2015-10-22 R. López-Peña , S. Cordero , E. Nahmad-Achar , O. Castaños

Low-energy quadrupole collective states in even-even tellurium (Te) isotopes are studied using the interacting boson model with configuration mixing. The corresponding Hamiltonian is determined by means of the microscopic nuclear structure…

Nuclear Theory · Physics 2026-03-11 Kosuke Nomura

The q-deformed harmonic oscillator is studied in the light of q-deformed phase space variables. This allows a formulation of the corresponding Hamiltonian in terms of the ordinary canonical variables $x$ and $p$. The spectrum shows…

High Energy Physics - Theory · Physics 2008-02-03 A. Lorek , A. Ruffing , J. Wess

We present a novel geometric approach for determining the unique structure of a Hamiltonian and establishing an instability criterion for quantum quadratic systems. Our geometric criterion provides insights into the underlying geometric…

Quantum Physics · Physics 2023-05-31 Xuanloc Leu , Xuan-Hoai Thi Nguyen , Jinhyoung Lee

We present an example of a partial dynamical symmetry (PDS) in an interacting fermion system and demonstrate the close relationship of the associated Hamiltonians with a realistic quadrupole-quadrupole interaction, thus shedding new light…

Nuclear Theory · Physics 2009-11-07 Jutta Escher , Amiram Leviatan

The signature splitting of the $\gamma$-vibrational band of several Ru, Pd, Xe, Ba, Os and Pt isotopes is analyzed in the framework of the interacting boson model (IBM). The nuclei studied are close to the $\gamma$-unstable SO(6) limit of…

Nuclear Theory · Physics 2008-12-18 B. Sorgunlu , P. Van Isacker

We present an algebraic procedure for constructing Hamiltonians with several distinct partial dynamical symmetries (PDSs), of relevance to shape-coexistence phenomena. The procedure relies on a spectrum generating algebra encompassing…

Nuclear Theory · Physics 2018-09-11 A Leviatan , N Gavrielov

Inherent nodal surfaces existing in the wavefunctions of intrashell states of 4-valence-electron atoms have been investigated. The decisive effect of these surfaces has been demonstrated, the ordering of low-lying levels has been predicted,…

Atomic Physics · Physics 2009-10-31 C. G. Bao

A set of generalized squeezed-coherent states for the finite u(2) oscillator is obtained. These states are given as linear combinations of the mode eigenstates with amplitudes determined by matrix elements of exponentials in the su(2)…

Mathematical Physics · Physics 2015-06-04 Vincent X. Genest , Luc Vinet , Alexei Zhedanov

We study the stability of black holes that are solutions of the dilaton gravity derived from string-theoretical models in two and five dimensions against to scalar field perturbations, using the Quasinormal Modes (QNMs) approach. In order…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Ramón Becar , Samuel Lepe , Joel Saavedra

Phonons as bosons are different from electrons as fermions. Unlike interatomic electron hopping that can be either positive or negative and further tuned by spin-orbit coupling, interatomic spring constant is positive, or the structure of…

Materials Science · Physics 2022-09-07 Bowen Xia , Hang Liu , Feng Liu

The gravity-scalar field system in spherical symmetry provides a natural setting for exploring gravitational collapse and its aftermath in quantum gravity. In a canonical approach, we give constructions of the Hamiltonian operator, and of…

General Relativity and Quantum Cosmology · Physics 2010-03-26 Viqar Husain , Daniel R. Terno

We show that two dimensional QCD can, to a good approximation, describe the hadronic structure functions measured in Deep Inelastic Scattering. We transform this theory into a new form, Quantum HadronDynamics (QHD), whose semi-classical…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. G. Rajeev
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