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We provide a unified approach for finding the coherent states of various deformed algebras, including quadratic, Higgs and q-deformed algebras, which are relevant for many physical problems. For the non-compact cases, coherent states, which…

Quantum Physics · Physics 2007-05-23 V. Sunilkumar , B. A. Bambah , P. K. Panigrahi , V. Srinivasan

We look for minimal extensions of Standard Model with vector like fermions leading to precision unification of gauge couplings. Constraints from proton decay, Higgs stability and perturbativity are considered. The simplest models contain…

High Energy Physics - Phenomenology · Physics 2018-05-17 Biplob Bhattacherjee , Pritibhajan Byakti , Ashwani Kushwaha , Sudhir K Vempati

Coherent states provide a natural connection of quantum systems to their classical limit and are employed in various fields of physics. Here we derive general systematic expansions, with respect to quantum parameters, of expectation values…

Quantum Physics · Physics 2015-08-13 John Schliemann

We introduce a two-body quantum Hamiltonian model with spins-$\half$ located on the vertices of a 2D spatial lattice. The model exhibits an exact topological degeneracy in all coupling regimes. This is a remarkable non-perturbative effect.…

Quantum Physics · Physics 2010-01-07 H. Bombin , M. Kargarian , M. A. Martin-Delgado

We formulate a relation between quantum-mechanical coherent states and complex-differentiable structures on the classical phase space ${\cal C}$ of a finite number of degrees of freedom. Locally-defined coherent states parametrised by the…

Quantum Physics · Physics 2015-06-26 J. M. Isidro

A mathematical model is formulated for the evolution of plane perturbations in a cosmological two-component statistical system of completely degenerate scalarly charged fermions with an asymmetric scalar Higgs interaction. A complete closed…

General Relativity and Quantum Cosmology · Physics 2023-02-08 Yu. G. Ignat'ev

A generalized definition of a deformation of the fermionic oscillator (k-fermionic oscillators) is proposed. Two prescriptions for the construction of generalized Grassmann coherent states for this kind of oscillators are derived. The two…

Mathematical Physics · Physics 2007-05-23 M. El Baz

Using the {\it nonlinear coherent states method}, a formalism for the construction of the coherent states associated to {\it "inverse bosonic operators"} and their dual family has been proposed. Generalizing the approach, the "inverse of…

Quantum Physics · Physics 2009-07-07 M. K. Tavassoly

The ground state correlations induced by a general pairing Hamiltonian in a finite system of like fermions are described in terms of four-body correlated structures (quartets). These are real superpositions of products of two pairs of…

Nuclear Theory · Physics 2015-06-15 M. Sambataro , N. Sandulescu

Supersymmetric quantum mechanical model of Calogero-Sutherlend singular oscillator is constructed. Supercoherent states are defined with the help of supergroup displacement operator. They are proper states of a fermionic annihilation…

Quantum Physics · Physics 2007-05-23 Vladislav G. Bagrov , Boris F. Samsonov

In this paper we construct the coherent and trajectory-coherent states of a damped harmonic oscillator. We investigate the properties of this states.

Quantum Physics · Physics 2008-02-03 A. G. Karavayev , Yu. O. Budayev

We propose a general variational fermionic many-body wavefunction that generates an effective Hamiltonian in a quadratic form, which can then be exactly solved. The theory can be constructed within the density functional theory framework,…

Strongly Correlated Electrons · Physics 2020-10-30 Xindong Wang , Xiao Chen , Liqin Ke , Hai-Ping Cheng , B. N. Harmon

Two-mode charge (pair) coherent states has been introduced previously by using $<\eta|$ representation. In the present paper we reobtain these states by a rather different method. Then, using the nonlinear coherent states approach and based…

Quantum Physics · Physics 2015-06-04 M Mortazavi , M K Tavassoly

We construct the coherent states of general order, $m$ for the ladder operators, $c(m)$ and $c^\dagger(m)$, which act on rational deformations of the harmonic oscillator. The position wavefunctions of the eigenvectors involve type III…

Mathematical Physics · Physics 2019-02-18 Scott E. Hoffmann , Véronique Hussin , Ian Marquette , Yao-Zhong Zhang

In the paper our aim was to study the properties of a new version of coherent states whose argument is a linear combination of two special singular square 2 x 2 matrix, having a single nonzero element, equal to 1, and two labeling complex…

Quantum Physics · Physics 2026-02-02 Dušan Popov

The coupled-wire construction provides a useful way to obtain microscopic Hamiltonians for various two-dimensional topological phases, among which fractional quantum Hall states are paradigmatic examples. Using the recently introduced flux…

Strongly Correlated Electrons · Physics 2019-01-23 Yohei Fuji , Akira Furusaki

We introduce a new technique for dealing with the matrix elements of the Hamiltonian operator in loop quantum gravity, based on the use of intertwiners projected on coherent states of angular momentum. We give explicit expressions for the…

General Relativity and Quantum Cosmology · Physics 2016-10-26 Emanuele Alesci , Jerzy Lewandowski , Ilkka Mäkinen

Recent lattice studies of near-conformal strong dynamics suggest the existence of a light scalar. This provides motivation to consider a simple Hamiltonian-based bound-state model where the pseudoscalar, scalar, vector and axial-vector…

High Energy Physics - Phenomenology · Physics 2017-12-22 Bob Holdom , Roman Koniuk

The pheomenological Generalized Coherent State Model Hamiltonian is amended with a many body term describing a set of nucleons moving in a shell model mean-field and interacting among themselves with paring, as well as with a particle-core…

Nuclear Theory · Physics 2016-03-08 A. A. Raduta , Al. H. Raduta , C. M. Petrache

Using the {\it analytic representation} of the so-called Gazeau-Klauder coherent states(CSs), we shall demonstrate that how a new class of generalized CSs namely the {\it family of dual states} associated with theses states can be…

Quantum Physics · Physics 2009-11-10 R. Roknizadeh , M. K. Tavassoly