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By theoretical derivation, we constructed an inhomogeneous coefficient equation to correctly describing harmonic radiation in solids induced by a spatially inhomogeneous field, where the widely used semiconductor Bloch equation fails. This…

光学 · 物理学 2025-08-04 Xiaoxue Zhang , Shiyu Liu , Chengpu Liu

The paper presents new metrics to quantify and test for (i) the equality of distributions and (ii) the independence between two high-dimensional random vectors. We show that the energy distance based on the usual Euclidean distance cannot…

统计方法学 · 统计学 2019-10-01 Shubhadeep Chakraborty , Xianyang Zhang

The use of the hyperspherical harmonic (HH) basis in the description of bound states in an $A$-body system composed by identical particles is normally preceded by a symmetrization procedure in which the statistic of the system is taken into…

核理论 · 物理学 2011-02-22 M. Gattobigio , A. Kievsky , M. Viviani

The ground state of a general pairing Hamiltonian for a finite nuclear system is constructed as a product of collective, real, distinct pairs. These are determined sequentially via an iterative variational procedure that resorts to…

核理论 · 物理学 2015-06-05 M. Sambataro

We consider generalized Husimi distributions for many-body systems, and show that their moments are good measures of complexity of many-body quantum states. Our construction of the Husimi distribution is based on the coherent state of the…

混沌动力学 · 物理学 2009-11-07 Ayumu Sugita

Relativistic lepton-proton bound-state eigenvalue equations for Hamiltonians derived from quantum field theory using second-order renormalization group procedure for effective particles, are reducible to two-body Schroedinger eigenvalue…

高能物理 - 唯象学 · 物理学 2015-06-23 Stanislaw D. Glazek

PT-symmetric quantum mechanics is an alternative formulation of quantum mechanics in which the mathematical axiom of Hermiticity (transpose and complex conjugate) is replaced by the physically transparent condition of space-time reflection…

数学物理 · 物理学 2015-06-12 Huai-Xin Cao , Zhi-Hua Guo , Zheng-Li Chen

We show that the charge radii of neighboring atomic nuclei, independent of atomic number and charge, follow remarkably very simple relations, despite the fact that atomic nuclei are complex finite many-body systems governed by the laws of…

核理论 · 物理学 2014-11-25 B. H. Sun , Y. Lu , J. P. Peng , C. Y. Liu , Y. M. Zhao

We count integer points on bihomogeneous varieties using the Hardy-Littlewood method. The main novelty lies in using the structure of bihomogeneous equations to obtain asymptotics in generically fewer variables than would be necessary in…

数论 · 数学 2013-01-29 Damaris Schindler

The intention of this paper is to provide solutions to commutative relations relevant to calculations regarding the hydrogen atom (or similar monoelectronic systems). Though exact solutions exist to these systems, the value to approximation…

综合物理 · 物理学 2010-05-26 Arjan Singh Puniani

The Hamiltonian Monte Carlo method generates samples by introducing a mechanical system that explores the target density. For distributions on manifolds it is not always simple to perform the mechanics as a result of the lack of global…

统计计算 · 统计学 2019-04-22 Alessandro Barp , Anthony Kennedy , Mark Girolami

We consider a class of Hermitian Hamiltonians with position-dependent mass $H=((m^alpha)p(m^beta)p(m^alpha))/2+\V$ with $2(alpha)+\beta=-1$. We apply these Hamiltonians to different piecewise flat potentials and masses (step, barrier, well…

量子物理 · 物理学 2008-04-24 Liès Dekar

In this dissertation a simple Hamiltonian for a system of inter-acting molecules and radiation field is developed from a model of N Two-Level Molecules interacting, via a dipole approximation, with a single mode, quantized radiation field.…

量子物理 · 物理学 2017-09-05 Michael Thomas Tavis

A consistent physical theory of quantum mechanics can be built on a complex Hamiltonian that is not Hermitian but instead satisfies the physical condition of space-time reflection symmetry (PT symmetry). Thus, there are infinitely many new…

高能物理 - 理论 · 物理学 2009-11-10 Carl M. Bender , Dorje C. Brody , Hugh F. Jones

It is shown that the standard formulation of quantum mechanics in terms of Hermitian Hamiltonians is overly restrictive. A consistent physical theory of quantum mechanics can be built on a complex Hamiltonian that is not Hermitian but…

量子物理 · 物理学 2008-12-18 Carl M. Bender , Dorje C. Brody , Hugh F. Jones

Multiplicity correlation measurements provide insight into the dynamics of high energy collisions. Models describing these collisions need these correlation measurements to tune the strengths of the underlying QCD processes which influence…

核实验 · 物理学 2016-04-27 K. Gulbrandsen , C. Soegaard

The development of the high-temperature superconductors (HTS) conductors has allowed the development of diverse superconductor devices. Some of these devises, like the power generators and high-field magnets, are classified as large-scale…

应用物理 · 物理学 2020-06-04 Edgar Berrospe-Juarez , Frederic Trillaud , Victor M R Zermeno , Francesco Grilli

In condensed matter physics and related areas, topological defects play important roles in phase transitions and critical phenomena. Homotopy theory facilitates the classification of such topological defects. After a pedagogic introduction…

统计力学 · 物理学 2011-03-28 Ralph Kenna

A theoretical model based on two-point scatterers is suggested to investigate scattering of partially coherent radiation by a non-Hermitian localized structure, invariant under the simultaneous symmetry operations of parity inversion and…

光学 · 物理学 2019-10-23 Paulo. A. Brandão , Solange B. Cavalcanti

A general formalism is worked out for the description of one-dimensional scattering in non-hermitian quantum mechanics and constraints on transmission and reflection coefficients are derived in the cases of P, T, or PT invariance of the…

量子物理 · 物理学 2015-06-26 F. Cannata , J. -P. Dedonder , A. Ventura