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The covariant quantization and light cone quantization formalisms are followed to construct the coherent states of both open and closed bosonic strings. We make a systematic and straightforward use of the original definition of coherent…

高能物理 - 理论 · 物理学 2021-09-23 Mir Hameeda , M. C. Rocca

Coherent states are derived for one-dimensional systems generated by supersymmetry from an initial Hamiltonian with a purely discrete spectrum for which the levels depend analytically on their subindex. It is shown that the algebra of the…

量子物理 · 物理学 2023-04-13 David J. Fernandez C , Veronique Hussin , Oscar Rosas-Ortiz

We review some basic elements on k-fermions, which are objects interpolating between bosons and fermions. In particular, we define k-fermionic coherent states and study some of their properties. The decomposition of a Q-uon into a boson and…

数学物理 · 物理学 2007-05-23 Mohammed Daoud , Maurice Kibler

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…

量子物理 · 物理学 2007-05-23 Vladislav G. Bagrov , Boris F. Samsonov

States which minimize the Schr\"odinger--Robertson uncertainty relation are constructed as eigenstates of an operator which is a element of the $h(1) \oplus \su(2)$ algebra. The relations with supercoherent and supersqueezed states of the…

数学物理 · 物理学 2007-05-23 Nibaldo Alvarez-Moraga , Veronique Hussin

In this article, we investigate the supersymmetric c=1 model of superstring theory and demonstrate how the spectrum of states is expanded and new symmetries of the theory are generated by the existence of ghost cohomologies. As a result, we…

综合物理 · 物理学 2023-03-21 Omar El Deeb

We construct complete sets of (open and closed string) covariant coherent state and mass eigenstate vertex operators in bosonic string theory. This construction can be used to study the evolution of fundamental cosmic strings as predicted…

高能物理 - 理论 · 物理学 2013-05-29 Dimitri Skliros , Mark Hindmarsh

In this paper we are going to build the multiphoton supercoherent states for the supersymmetric harmonic oscillator as eigenstates of the $m$-th power of a special form (but still with a free parameter) of the Kornbluth-Zypman…

量子物理 · 物理学 2019-02-08 Erik Díaz-Bautista , David J Fernández C

Coherent states are usually defined as eigenstates of an unbounded operator, the so-called annihilation operator. We propose here possible constructions of {\em quasi-coherent states}, which turn out to be {\em quasi} eigenstate of a…

数学物理 · 物理学 2009-04-01 Fabio Bagarello

Super coherent states are useful in the explicit construction of representations of superalgebras and quantum superalgebras. In this contribution, we describe how they are used to construct (quantum) boson-fermion realizations and…

高能物理 - 理论 · 物理学 2007-05-23 Yao-Zhong Zhang

We give the first construction of covariant coherent closed string states, which may be identified with fundamental cosmic strings. We outline the requirements for a string state to describe a cosmic string, and using DDF operators provide…

高能物理 - 理论 · 物理学 2011-03-02 Mark Hindmarsh , Dimitri Skliros

Using a hybrid formalism, superstrings on AdS(3) x S(1) are studied in a manifestly supersymmetric manner. The world-sheet fields in this description including superspace coordinates are obtained through a field redefinition from the…

高能物理 - 理论 · 物理学 2009-11-10 Hiroshi Kunitomo

We provide a non-technical introduction to "misaligned supersymmetry", a generic phenomenon in string theory which describes how the arrangement of bosonic and fermionic states at all string energy levels conspires to preserve finite string…

高能物理 - 理论 · 物理学 2016-09-06 Keith R. Dienes

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

A mixed supersymmetric-algebraic approach to construction of the minimum uncertainty coherent states of anharmonic oscillators is presented. It permits generating not only the well-known coherent states of the harmonic and Morse oscillators…

量子物理 · 物理学 2007-06-27 Marcin Molski

A variety of coherent states of the harmonic oscillator is considered. It is formed by a particular superposition of canonical coherent states. In the simplest case, these superpositions are eigenfunctions of the annihilation operator…

量子物理 · 物理学 2009-10-30 V. Spiridonov

In this paper we make the connection between semi-classical string quantization and exact conformal field theory quantization of strings in 2+1 Anti de Sitter spacetime. More precisely, considering the WZWN model corresponding to SL(2,R)…

高能物理 - 理论 · 物理学 2009-10-31 A. L. Larsen , N. Sánchez

Supersymmetry is a technique that allows us to extract information about the states and spectra of quantum mechanical systems which may otherwise be unsolvable. In this paper we reconstruct Ioffe's set of states for the singular…

量子物理 · 物理学 2021-11-25 James Moran , Véronique Hussin

We construct complete sets of (open and closed string) covariant coherent state and mass eigenstate vertex operators in bosonic string theory. By minimally extending the standard definition of coherent states so as to include the string…

高能物理 - 理论 · 物理学 2011-07-05 Dimitri Skliros , Mark Hindmarsh

The problem of building coherent states from non-normalizable fiducial states is considered. We propose a way of constructing such coherent states by regularizing the divergence of the fiducial state norm. Then, we successfully apply the…

数学物理 · 物理学 2015-06-03 Joseph Ben Geloun , Jeff Hnybida , John R. Klauder
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