Add to ORKGWe consider a number of simple quantum Hamiltonians H(−i∇,x) with the following property: H(−i∇,x) has discrete spectrum even though {(p,q) | H(p,q) <E} has infinite volume
In relation to the quantum-mechanical eigenvalue problem in terms of a complete set of the Casimir o...
On a unidimensional lattice, the Hamiltonian of a system of three arbitrary particles is considered ...
We study the spectral theory of ergodic Schrödinger operators.The focus is on multi-dimensional Schr...
We consider a number of simple quantum Hamiltonians H(−i∇,x) with the following property: H(−i∇,x) h...
We prove that −Δ+V has purely discrete spectrum if V ≥ 0 and, for all M, |{x | V (x)<M}| < ∞ and var...
We propose the assumption of quantum mechanics on a discrete space and time, which implies the modif...
In this paper, we develop spectral analysis of a discrete non-Hermitian quantum system that is a dis...
We consider discrete one-dimensional Schrödinger operators with aperiodic potentials generated by pr...
Starting from a discrete Heisenberg algebra we solve several representation problems for a discretiz...
Abstract. We provide an abstract framework for singular one-dimensional Schrödinger operators with ...
summary:A special type of Jacobi matrices, discrete Schrödinger operators, is found to play an impor...
Consider the operator family H(g):=H_0+igW. H_0 is the quantum harmonic oscillator with ration...
We study certain discrete quantum dynamical systems which are described by unitary operators U actin...
We consider a quantum system consisting of a one-dimensional chain of M identical harmonic oscillato...
We summarize a recent study of discrete (integer-valued) Hamiltonian cellular automata (CA) showing ...
In relation to the quantum-mechanical eigenvalue problem in terms of a complete set of the Casimir o...
On a unidimensional lattice, the Hamiltonian of a system of three arbitrary particles is considered ...
We study the spectral theory of ergodic Schrödinger operators.The focus is on multi-dimensional Schr...
We consider a number of simple quantum Hamiltonians H(−i∇,x) with the following property: H(−i∇,x) h...
We prove that −Δ+V has purely discrete spectrum if V ≥ 0 and, for all M, |{x | V (x)<M}| < ∞ and var...
We propose the assumption of quantum mechanics on a discrete space and time, which implies the modif...
In this paper, we develop spectral analysis of a discrete non-Hermitian quantum system that is a dis...
We consider discrete one-dimensional Schrödinger operators with aperiodic potentials generated by pr...
Starting from a discrete Heisenberg algebra we solve several representation problems for a discretiz...
Abstract. We provide an abstract framework for singular one-dimensional Schrödinger operators with ...
summary:A special type of Jacobi matrices, discrete Schrödinger operators, is found to play an impor...
Consider the operator family H(g):=H_0+igW. H_0 is the quantum harmonic oscillator with ration...
We study certain discrete quantum dynamical systems which are described by unitary operators U actin...
We consider a quantum system consisting of a one-dimensional chain of M identical harmonic oscillato...
We summarize a recent study of discrete (integer-valued) Hamiltonian cellular automata (CA) showing ...
In relation to the quantum-mechanical eigenvalue problem in terms of a complete set of the Casimir o...
On a unidimensional lattice, the Hamiltonian of a system of three arbitrary particles is considered ...
We study the spectral theory of ergodic Schrödinger operators.The focus is on multi-dimensional Schr...