Many-particle Hamiltonian

The many-particle Hamiltonian for a set of electrons and nuclei can be expressed as the sum of kinetic and pair-interaction operators,... 

On the Change of Spectra Associated with Unbounded Similarity Transformations of a Many-Particle Hamiltonian and the Occurrence of Resonance States in the Method of Complex Scaling. Part I. General Theory... 

The simplest example of a complex symmetric operator is the non-relativistic many-particle Hamiltonian H for an atomic, molecular, or solid-state system, which consists essentially of the kinetic energy of the particles and their mutual Coulomb interaction. Since such a Hamiltonian is both self-adjoint and real, one obtains... 

In physics, it is customary to formulate the eigenvalue problem of a self-adjoint many-particle Hamiltonian H and the associated boundary conditions which define its spectrum , in terms of the mathematical framework based on the theory of the Hilbert space. Before proceeding, it may hence be... 

On the Change of Spectra Associated with Unbounded Similarity Transformations of a Many-Particle Hamiltonian... 

Properties of a Many-Particle Hamiltonian under Complex Scaling. 

The Coulombic Many-Particle Hamiltonian.- For a system of atomic nuclei and electrons under the influence of electrostatic forces, the many-particle Hamiltonian takes the form ... 

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