3 citations · 6 across the 8 of their papers we have counts for
8 papers
Polynomial Approximations of Electronic Wave Functions
Andrej I. Panin
This work completes the construction of purely algebraic version of the theory of non-linear quantum chemistry methods. It is shown that at the heart of these methods there lie cer…
Methods of Modern Differential Geometry in Quantum Chemistry: TD Theories on Grassmann and Hartree-Fock Manifolds
A. I. Panin
Hamiltonian and Schrodinger evolution equations on finite-dimensional projective space are analyzed in detail. Hartree-Fock (HF) manifold is introduced as a submanifold of many ele…
1-Density Operators and Algebraic Version of The Hohenberg-Kohn Theorem
A. I. Panin
Interrelation of the Coleman's representabilty theory for 1-density operators and abstract algebraic form of the Hohenberg-Kohn theorem is studied in detail. Convenient realization…
Electronic Fock space as associative superalgebra
A. I. Panin
New algebraic structure on electronic Fock space is studied in detail. This structure is defined in terms of a certain multiplication of many electron wave functions and has close…
Electronic Fock spaces: Phase prefactors and hidden symmetry
A. I. Panin
Efficient technique of manipulation with phase prefactors in electronic Fock spaces is developed. Its power is demonstrated on example of both relatively simple classic configurati…
Restoration of Many Electron Wave Functions from One-Electron Density
A. I. Panin, A. N. Petrov
General theorem describing a relation between diagonal of one-electron density matrix and a certain class of many-electron ensembles of determinant states is proved. As a corollary…