Normally ordered Bose–Fermi operator realization of the SU(N/M) group

1991 ◽  
Vol 32 (3) ◽  
pp. 584-587 ◽  
Author(s):  
Hong‐yi Fan ◽  
Hai‐guang Weng
Keyword(s):  
Fermi Operator ◽  
Operator Realization

Operator Realization Theory

1998 ◽  
pp. 87-119
Author(s):  
Patrick Dewilde ◽  
Alle-Jan van der Veen
Keyword(s):  
Realization Theory ◽  
Operator Realization

NEW n-MODE BOSE OPERATOR REALIZATION OF SU(2) LIE ALGEBRA AND ITS APPLICATION IN ENTANGLED FRACTIONAL FOURIER TRANSFORM

2009 ◽  
Vol 24 (08) ◽  
pp. 615-624 ◽  
Author(s):  
HONG-YI FAN ◽  
SHU-GUANG LIU
Keyword(s):  
Fourier Transform ◽  
Lie Algebra ◽  
Fractional Fourier Transform ◽  
Wave Functions ◽  
Entangled State ◽  
Quantum Mechanical ◽  
Mechanical Wave ◽  
Bose Operator ◽  
Operator Realization ◽  
Multipartite Entangled State

We introduce a new n-mode Bose operator realization of SU(2) Lie algebra and link it to the two mutually conjugate multipartite entangled state representations. In so doing we are naturally lead to the n-mode entangle fractional Fourier transform (EFFT), which provides us with a convenient way to deriving the EFFT of quantum-mechanical wave functions.

scholarly journals Mixed Precision Fermi-Operator Expansion on Tensor Cores from a Machine Learning Perspective

2021 ◽  
Author(s):  
Joshua Finkelstein ◽  
Justin S. Smith ◽  
Susan M. Mniszewski ◽  
Kipton Barros ◽  
Christian F. A. Negre ◽  
...  
Keyword(s):  
Machine Learning ◽  
Operator Expansion ◽  
Fermi Operator ◽  
Mixed Precision

ON A ONE-PARAMETER FAMILY OF EXOTIC SUPERSPACES IN TWO DIMENSIONS

1991 ◽  
Vol 06 (35) ◽  
pp. 3239-3250 ◽  
Author(s):  
MURAT GÜNAYDIN
Keyword(s):  
Two Dimensions ◽  
Parameter Family ◽  
Oscillator Algebra ◽  
Jordan Superalgebras ◽  
Special Values ◽  
Finite Dimensional ◽  
Operator Realization ◽  
The One ◽  
Conformal Superalgebras ◽  
Bosonic Oscillator

Using Jordan algebraic techniques we define and study a family of exotic superspaces in two dimensions with two bosonic and two fermionic coordinates. They are defined by the one-parameter family of Jordan superalgebras JD (2/2)α. For two special values of α the JD (2/2)α can be realized in terms of a single fermionic or a single bosonic oscillator, respectively. For other values of α it can be interpreted as defining an exotic oscillator algebra. The derivation, reduced structure and Möbius superalgebras of JD (2/2)α are identified with the rotation, Lorentz and finite-dimensional conformal superalgebras of the corresponding superspaces. The conformal superalgebras turn out to be the superalgebras D(2,1;α) with the even subgroup SO(2,2)×SU(2) . We give an explicit differential operator realization of the actions of D(2,1;α) on these superspaces.

Differential Operator Realization of the Exceptional Superalgebra D (2,1;α) and Its Application

2012 ◽  
Vol 57 (5) ◽  
pp. 825-832 ◽  
Author(s):  
Xi Chen ◽  
Xiang-Mao Ding ◽  
Xiao-Hui Wang ◽  
Wen-Li Yang
Keyword(s):  
Differential Operator ◽  
Operator Realization

scholarly journals Operator realization of the SU(2) WZNW model

1996 ◽  
Vol 474 (2) ◽  
pp. 497-511 ◽  
Author(s):  
Paolo Furlan ◽  
Ludmil K. Hadjiivanov ◽  
Ivan T. Todorov
Keyword(s):  
Wznw Model ◽  
Operator Realization

A BOSONIC OPERATOR REALIZATION OF THE KRICHEVER CONSTRUCTION AND bc SYSTEMS ON RIEMANN SURFACES

1988 ◽  
Vol 03 (17) ◽  
pp. 1689-1697 ◽  
Author(s):  
A.M. SEMIKHATOV
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Riemann Surfaces ◽  
Conformal Field ◽  
Bosonic Operator ◽  
Operator Realization ◽  
Operator Construction

We propose an explicit operator construction for the algebro-geometric τ-function in terms of a bosonic conformal field theory on Riemann surfaces. As a consequence, the operator Bosonization formulae for fermionic bc systems on Riemann surfaces are deduced.

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