We expand the quantum mechanical wavefunction in a complete set of orthonormal basis such that the matrix representation of the Hamiltonian is tridiagonal and symmetric. Consequently, the matrix wave equation becomes a symmetric three-term recursion relation for the expansion coefficients of the wavefunction. The solution of this recursion is a set of orthogonal polynomials in the energy whose weight function is the energy density of states of the system. The latter is constructed using the Greenâ s function, which is written in terms of the Hamiltonian matrix elements. We study the distribution of zeros of the orthogonal polynomials on the real energy line based exclusively on their three-term recursion relations. We show that the zeros a...
Abstract. An accelerated polynomial expansion scheme to construct the den-sity matrix in quantum mec...
We develop a computationally and numerically efficient method to calculate binding energies and corr...
In this work we demonstrate a simplified version of quantum mechanics in which the states are constr...
We expand the quantum mechanical wavefunction in a complete set of orthonormal basis such that the m...
We provide two analytic expressions particularly useful for the evaluation of the density of states ...
An accelerated polynomial expansion scheme to construct the density matrix in quantum mechanical mol...
We consider necessary conditions for the one-body reduced density matrix (1RDM) to correspond to a t...
We perform a comprehensive analysis of the set of parameters {ri} that provide the energy distributi...
In classical mechanics, a spatial density of dx/v(x) can be given even though one particle is involv...
The task of analytically diagonalizing a tridiagonal matrix can be considerably simplified when a pa...
Density of states (DOS) in both bound and unimolecular dissociation regime for HO system have been c...
Using the technique of tridiagonal representation approach; for the first time, we extend this metho...
The density matrix ρ for an n-level system is decomposed into the minimum number of pure states nece...
Abstract. We establish a procedure to find the extremal density matrices for any finite Hamiltonian ...
A new type of basis set for quantum mechanical problems is introduced. These basis states are adapte...
Abstract. An accelerated polynomial expansion scheme to construct the den-sity matrix in quantum mec...
We develop a computationally and numerically efficient method to calculate binding energies and corr...
In this work we demonstrate a simplified version of quantum mechanics in which the states are constr...
We expand the quantum mechanical wavefunction in a complete set of orthonormal basis such that the m...
We provide two analytic expressions particularly useful for the evaluation of the density of states ...
An accelerated polynomial expansion scheme to construct the density matrix in quantum mechanical mol...
We consider necessary conditions for the one-body reduced density matrix (1RDM) to correspond to a t...
We perform a comprehensive analysis of the set of parameters {ri} that provide the energy distributi...
In classical mechanics, a spatial density of dx/v(x) can be given even though one particle is involv...
The task of analytically diagonalizing a tridiagonal matrix can be considerably simplified when a pa...
Density of states (DOS) in both bound and unimolecular dissociation regime for HO system have been c...
Using the technique of tridiagonal representation approach; for the first time, we extend this metho...
The density matrix ρ for an n-level system is decomposed into the minimum number of pure states nece...
Abstract. We establish a procedure to find the extremal density matrices for any finite Hamiltonian ...
A new type of basis set for quantum mechanical problems is introduced. These basis states are adapte...
Abstract. An accelerated polynomial expansion scheme to construct the den-sity matrix in quantum mec...
We develop a computationally and numerically efficient method to calculate binding energies and corr...
In this work we demonstrate a simplified version of quantum mechanics in which the states are constr...