Holstein-Primakoff representation for the Elliott Model. Constança Providência, ... Faculty of Engineering, Kansai University, Suita 564-8680, Japan. (Received ...

Holstein-Primakoff representation

One of the very important aspects of quantum mechanics is the occurrence of—in general—non-commuting operators which represent observables, quantities that we can measure. A standard example of a set of such operators are the three components of the angular momentum operators, which are crucial in many quantum systems. These operators are complicated, and we would like to be able to find a simpler representation, which can be used to generate approximate calculational schemes.

The original Holstein-Primakoff transformation in quantum mechanics is a mapping from the angular momentum operators to boson creation and annihilation operators. As can be seen from a paper with about 1000 citations, this method has found widespread applicability and has been extended in many different directions. There is a close link to other methods of boson mapping of operator algebras; in particular the Dyson-Maleev technique, and to a lesser extent the Schwinger mapping. There is a close link to the theory of (generalized) coherent states in Lie algebras.

This is an excerpt from the article Holstein-Primakoff representation from the Wikipedia free encyclopedia. A list of authors is available at Wikipedia.

The original Holstein-Primakoff transformation in quantum mechanics is a mapping from the angular momentum operators to boson creation and annihilation operators. As can be seen from a paper with about 1000 citations, this method has found widespread applicability and has been extended in many different directions. There is a close link to other methods of boson mapping of operator algebras; in particular the Dyson-Maleev technique, and to a lesser extent the Schwinger mapping. There is a close link to the theory of (generalized) coherent states in Lie algebras.

This is an excerpt from the article Holstein-Primakoff representation from the Wikipedia free encyclopedia. A list of authors is available at Wikipedia.

The article Holstein-Primakoff representation at en.wikipedia.org was accessed 6 times in the last 30 days. (as of: 12/20/2013)

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Holstein–Primakoff transformation - Wikipedia, the free encyclopedia

The original Holstein-Primakoff transformation in quantum mechanics is a
mapping from the ... (i.e., we look at a single irreducible representation of SU(2)).

en.wikipedia.org/wiki/Holstein%E2%80%93Primakoff_transformation

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Holstein-Primakoff and Dyson-Maleev representation

Oct 23, 2012 ... In Holstein-Primakoff and Dyson-Maleev representation, spin operators are represented by bosonic operators. Roughly speaking, a state with ...

physics.stackexchange.com/questions/41485/holstein-primakoff-and-dyson-maleev-representation

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The classical limit for the Holstein-Primakoff representation in the ...

Soliton excitations in the anisotropic Heisenberg chain are studied in the
classical limit by means of the Holstein-Primakoff boson representation, taking
into ...

iopscience.iop.org/0953-8984/1/4/007

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Spin waves

Holstein-Primakoff approach, people often define m distinct flavors of boson, one
on ... are often the same on each site, i.e. the spin waves can be represented in.

people.ccmr.cornell.edu/~clh/p654/5.5.pdf

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Lecture Notes - Rudolf Peierls Centre for Theoretical Physics

The second-quantised representation is. ˆA = ∑ pq ..... make approximations,
and the Holstein-Primakoff transformation provides a convenient way to do so.

www-thphys.physics.ox.ac.uk/people/JohnChalker/qtcm/lecture-notes.pdf

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Boson Realization of the su(3)-Algebra. IV Holstein-Primakoff ...

On the basis of the Schwinger boson representation for the Elliott model
developed in. (III), the Holstein-Primakoff representation for the su(3)-algebra is ...

ptp.ipap.jp/link?PTP/115/561/pdf

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HomeWork 2 : Representation of the spin 1 Natural representation of ...

of the spin known as the Holstein-Primakoff transformation. Within this ...
operators. In this exercice, we show that a representation for spin 1/2 can be
obtained in.

www.itp.uni-hannover.de/~flohr/lectures/stat/hw2.pdf

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Modification of the Conventional Holstein-Primakoff Boson ...

Abstract. In order to avoid unsatisfactory points of the conventional Holstein-Primakoff representation of the su(1,1)-algebra for the description of thermal
effects ...

ptp.oxfordjournals.org/content/99/5/819.abstract

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HOLSTEIN-PRIMAKOFF REPRESENTATION FOR ... - Springer

HOLSTEIN-PRIMAKOFF. REPRESENTATION FOR STRONGLY. CORRELATED
ELECTRON SYSTEMS. Siyavush Azakov. Institute of Physics, Azerbaijan ...

link.springer.com/content/pdf/10.1007%2F1-4020-2708-7_7.pdf

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PJH note

3.3.1 Holstein-Primakoff transformation . . . . . . 15. 3.3.2 Linear ..... representation
forˆSz, which can be obtained by using the identity. (on a given site i). ˆ. S. 2.

www.phys.ufl.edu/~pjh/teaching/phz7427/7427notes/ch3.pdf

Search results for "Holstein-Primakoff representation"

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Holstein-Primakoff representation in science

[PDF]Boson Realization of the su(3)-Algebra. IV Holstein-Primakoff ...

Functional Schr\" odinger Representations of Holstein-Primakoff ...

Mar 10, 1999... Sung-Ho Suck Salk (Pohang University of Science and Technology, ... the
functional Schr\"odinger representation of the Holstein-Primakoff ...

[PDF]Boson Realization of the su (3)-Algebra. II

Sep 30, 2005 ... Holstein-Primakoff representation for the Lipkin Model. Constança ... 2Physics
Division, Faculty of Science, Kochi University, Kochi 780-8520,.

Boson Realization of the u(3)-Algebra. II --Holstein-Primakoff ...

... of the u(3)-Algebra. II --Holstein-Primakoff representation for the Lipkin Model
---. ... ABSTRACT On the basis of the Schwinger boson representation for the
Lipkin model developed in (I), the ...... J. da Providência. University of Coimbra ...

Modification of the Conventional Holstein-Primakoff Boson ...

Modification of the Conventional Holstein-Primakoff Boson Representation for ...
Kuriyama Atsushi KURIYAMA Atsushi; Faculty of Engineering, Kansai University.

Modification of the Conventional Holstein-Primakoff Boson ...

Modification of the Conventional Holstein-Primakoff Boson Representation for the
su(1,1)-Algebra and Its Classical ... Oxford Journals Oxford University Press.

Boson Realization of the su(3)-Algebra. IV: Holstein-Primakoff ...

IV: Holstein-Primakoff representation for the Elliott Model ... 2Physics Division,
Faculty of Science, Kochi University, Kochi 780-8520, Japan. 3Faculty of ...

Boson Realization of the su (3)-Algebra. IV: Holstein-Primakoff ...

Boson Realization of the su (3)-Algebra. IV: Holstein-Primakoff representation
for the Elliott Model. Providência, Constança; da Providência, João; Tsue, ...

Holstein–Primakoff transformation - Wikipedia, the free encyclopedia

One of the very important aspects of quantum mechanics is the occurrence of—in
general—non-commuting operators which represent observables, quantities ...

Holstein-Primakoff Representation for Strongly Correlated Electron ...

Holstein-Primakoff representation for Strongly Correlated Electron Systems.
Siyavush Azakov … show ... University of Pennsylvania. Authors. Siyavush
Azakov ...

Books on the term Holstein-Primakoff representation

Interacting Electrons and Quantum Magnetism

Spin. Representations. 7.1. Holstein-Primakoff. Bosons. The spin is a vector
operator. In a broken symmetry phase, the expectation value of at least one of its
component is nonzero. It is natural to describe the ordered phase in terms of
small ...

Condensed Matter Physics

This Second Edition presents an updated review of the whole field of condensed matter physics. It consolidates new and classic topics from disparate sources, teaching not only about the effective masses of electrons in semiconductor crystals and band theory, but also about quasicrystals, dynamics of phase separation, why rubber is more floppy than ...

Physics of Spin in Solids: Materials, Methods and ...

This is the standard way to develop the spin-wave technique for quantum spin
systems, by introducing Holstein-Primakoff (HP) representation [8]. It is
worthwhile to note, that when we speak about a specific model we assume a
specific choice ...

Condensed Matter Field Theory

Modern experimental developments in condensed matter and ultracold atom physics present formidable challenges to theorists. This book provides a pedagogical introduction to quantum field theory in many-particle physics, emphasizing the applicability of the formalism to concrete problems. This second edition contains two new chapters developing path...

Quantum Physics: Volume 1: From Basics to Symmetries and ...

With the aid of these operators, explicitly construct states with given total angular
momentum J and its projection M. Solution In the Holstein-Primakoff representation, Problem 16.8, we used the operators of spin deviations starting
from the ...

Quantum Physics: Volume 1 - From Basics to Symmetries and Perturbations

This two-volume set can be naturally divided into two semester courses, and contains a full modern graduate course in quantum physics. The idea is to teach graduate students how to practically use quantum physics and theory, presenting the fundamental knowledge, and gradually moving on to applications, including atomic, nuclear and solid state phys...

Condensed Matter Field Theory

Schwinger boson representation As with the Holstein—Primakoff representation,
the Schwinger boson provides another representation of quantum mechanical
spin. The aim of this problem is to confirm the validity of the representation.

Mathematical Optics: Classical, Quantum, and Computational ...

The representation space is constructed in terms of quantum states with even
photon numbers for k: 1/4 and with odd ... Furthermore, the SU(1,1) Lie
generators in the Holstein—Primakoff representation are given by K, I ~/2k _1+
alaal, K, ...

Physics of Amorphous Metals

"...concentrates on the theoretical description, understanding, and derivation of the properties of glassy metals..." (SciTech Book News, Vol. 26, No. 2, June 2002)

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Blog posts on the term

Holstein-Primakoff representation

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Holstein–Primakoff transformation - Wikipedia, the free encyclopedia
en.wikipedia.org/wiki/Holstein%E2%80%93Primakoff_transformation

Spin-Wave Calculations for Low-Dimensional Magnets - Goethe ...
publikationen.ub.uni-frankfurt.de/files/2306/spremo_diss.pdf

Spin-wave calculations for Heisenberg magnets with reduced ...
publikationen.ub.uni-frankfurt.de/files/22572/kreisel_phd.pdf

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