The Hodge Operator in Fermionic Fock Space
 PDF  Authorized users only Language: English 206Kb 
Title:  The Hodge Operator in Fermionic Fock Space 

Creators:  

Journal or Publication Title:  Collection of Czechoslovak Chemical Communications, 70, 7, pp. 9791016 

Uncontrolled Keywords:  Spinorbital bases, Hodge operator, Fock space, Grassmann algebra, Manyelectron systems, Timereversal operator, Quantum chemistry, Fermions 

AbstractThe Hodge operator ("star" operator) plays an important role in the theory of differential forms, where it serves as a tool for the switching between the exterior derivative and coderivative. In the theory of manyelectron systems involving a finitedimensional fermionic Fock space, one can define the Hodge operator as a unique (i.e., invariant with respect to linear transformations of the spinorbital basis set) antilinear operator. The similarity transformation based on the Hodge operator results in the switching between the fermion creation and annihilation operators. The present paper gives a selfcontained account on the algebraic structures which are necessary for the construction of the Hodge operator: the fermionic Fock space, the corresponding Grassmann algebra, and the generalized creation and annihilation operators. The Hodge operator is then defined, and its properties are reviewed. It is shown how the notion of the Hodge operator can be employed in a construction of the electronic timereversal operator. <p> Title:  The Hodge Operator in Fermionic Fock Space 

Creators:  

Uncontrolled Keywords:  Spinorbital bases, Hodge operator, Fock space, Grassmann algebra, Manyelectron systems, Timereversal operator, Quantum chemistry, Fermions 

Divisions:  Life and Chemical Sciences > Institute of Organic Chemistry and Biochemistry > Collection of Czechoslovak Chemical Communications 

Journal or Publication Title:  Collection of Czechoslovak Chemical Communications 

Volume:  70 

Number:  7 

Page Range:  pp. 9791016 

ISSN:  00100765 

EISSN:  12126950 

Publisher:  Institute of Organic Chemistry and Biochemistry 

Related URLs:  

ID Code:  2402 

Item Type:  Article 

Deposited On:  06 Feb 2009 17:18 

Last Modified:  06 Feb 2009 16:18 

CitationStolarczyk, Leszek Z. (2005) The Hodge Operator in Fermionic Fock Space. Collection of Czechoslovak Chemical Communications, 70 (7). pp. 9791016. ISSN 00100765Repository Staff Only: item control page
