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A general procedure for constructing coherent states, which are eigenstates of annihilation operators, related to quantum mechanical potential problems, is presented. These coherent states, by construction are not potential specific and…

量子物理 · 物理学 2007-05-23 P. K. Panigrahi , T. Shreecharan , J. Banerji , V. Sundaram

Coherent states in a projected Hilbert space have many useful properties. When there are conserved quantities, a representation of the entire Hilbert space is not necessary. The same issue arises when conditional observations are made with…

量子物理 · 物理学 2016-12-28 P. D. Drummond , M. D. Reid

We focus on two types of coherent states, the coherent states of multi graviton states and the coherent states of giant graviton states, in the context of gauge/gravity correspondence. We conveniently use a phase shift operator and its…

高能物理 - 理论 · 物理学 2021-05-05 Hai Lin , Yuwei Zhu

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

量子物理 · 物理学 2008-02-03 A. G. Karavayev , Yu. O. Budayev

Coherent spaces spanned by a finite number of coherent states, are introduced. Their coherence properties are studied, using the Dirac contour representation. It is shown that the corresponding projectors resolve the identity, and that they…

量子物理 · 物理学 2016-09-21 A. Vourdas

We present a systematic analysis on coherent states of composite bosons consisting of two distinguishable particles. By defining an effective composite boson (coboson) annihilation operator, we derive its eigenstate and commutator.…

量子物理 · 物理学 2013-12-06 Su-Yong Lee , Jayne Thompson , Pawel Kurzynski , Akihito Soeda , Dagomir Kaszlikowski

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…

量子物理 · 物理学 2009-07-07 M. K. Tavassoly

This paper describes how the structure of the state space of the quantum harmonic oscillator can be described by an adjunction of categories, that encodes the raising and lowering operators into a commutative comonoid. The formulation is an…

量子物理 · 物理学 2012-09-24 Jamie Vicary

The initial states which minimize the predictability loss for a damped harmonic oscillator are identified as quasi-free states with a symmetry dictated by the environment's diffusion coefficients. For an isotropic diffusion in phase space,…

量子物理 · 物理学 2009-10-31 Gh. -S. Paraoanu , H. Scutaru

p-Mechanics is a consistent physical theory which describes both quantum and classical mechanics simultaneously. We continue the development of p-mechanics by introducing the concept of states. The set of coherent states we introduce allow…

量子物理 · 物理学 2007-05-23 Alastair Brodlie

Wave packets for the Quantum Non-Linear Oscillator are considered in the Generalized Coherent State framerwork. To first order in the non-linearity parameter the Coherent State behaves very similarly to its classical counterpart. The…

量子物理 · 物理学 2012-07-12 Subir Ghosh

The nonclassicality of quantum states is a fundamental resource for quantum technologies and quantum information tasks in general. In particular, a pivotal aspect of quantum states lies in their coherence properties, encoded in the…

量子物理 · 物理学 2024-04-08 Luca Innocenti , Lukas Lachman , Radim Filip

We study nonchiral wave functions for systems with continuous spins obtained from the conformal field theory (CFT) of a free, massless boson. In contrast to the case of discrete spins, these can be treated as bosonic Gaussian states, which…

强关联电子 · 物理学 2018-10-01 Benedikt Herwerth , Germán Sierra , J. Ignacio Cirac , Anne E. B. Nielsen

We construct coherent states using sequences of combinatorial numbers such as various binomial and trinomial numbers, and Bell and Catalan numbers. We show that these states satisfy the condition of the resolution of unity in a natural way.…

量子物理 · 物理学 2017-08-23 Karol A. Penson , Allan I Solomon

Coherent states for general systems with discrete spectrum, such as the bound states of the hydrogen atom, are discussed. The states in question satisfy: (1) continuity of labeling, (2) resolution of unity, (3) temporal stability, and (4)…

量子物理 · 物理学 2007-05-23 John R. Klauder

We construct coherent states for the quantized electromagnetic field that correspond to the classical non-null torus knot solutions of Maxwell's equations in vacuum. We derive the displacement operators from the general relation between…

量子物理 · 物理学 2026-05-18 Gabriel Canadas da Silva , Ion Vasile Vancea

The coherent states for twist-deformed oscillator model provided in article [1] are constructed. Besides, it is demonstrated that the energy spectrum of considered model is labeled by two quantum numbers - by so-called main and azimutal…

数学物理 · 物理学 2015-06-19 Marcin Daszkiewicz , Cezary J. Walczyk

We introduce a set of coherent states which are associated with quantum systems governed by a trilinear boson Hamiltonian. These states are produced by the action of a nonunitary displacement operator on a reference state and can be…

量子物理 · 物理学 2009-10-30 C. Brif

We consider relativistic coherent states for a spin-0 charged particle that satisfy the next additional requirements: (i) the expected values of the standard coordinate and momentum operators are uniquely related to the real and imaginary…

量子物理 · 物理学 2009-11-07 B. I. Lev , A. A. Semenov , C. V. Usenko , J. R. Klauder

A general algebraic procedure for constructing coherent states of a wide class of exactly solvable potentials e.g., Morse and P{\"o}schl-Teller, is given. The method, {\it a priori}, is potential independent and connects with earlier…

量子物理 · 物理学 2009-11-10 T. Shreecharan , Prasanta K. Panigrahi , J. Banerji