Quantum Mechanical Hamiltonian Models of Computersa

Paul A. Benioff

Richard P. Feynman

H. A. Schmitt, A. Mufti

The supersymmetric quantum mechanical harmonic oscillator, a particular example of an N = 1, d = 1 supersymmetric quantum mechanical model, is used to construct a Hamiltonian exhibiting a noncompact orthosymplectic supersymmetry. This Hamiltonian is the strong-coupling limit of the Jaynes–Cummings model.

Nikolay N. Bogolubov

On the Theory of Superfluidity Quasi-Averages in Problems of Statistical Mechanics Hydrodynamics Equations in Statistical Mechanics On the Hydrodynamics of a Superfluid Liquid On the Model Hamiltonian of Superconductivity Model Hamiltonians with Fermion Interaction

Richard P. Feynman

R. Kretschmer, L. Szymanowski

We study the quantum-mechanical interpretation of models with non-Hermitian Hamiltonians and real spectra. We set up a general framework for the analysis of such systems in terms of Hermitian Hamiltonians defined in the usual Hilbert space $L_2(-\infty,\infty)$. Special emphasis is put on the correct definition of the algebra of physical observables. Within this scheme we consider various examples, including the model recently introduced by Cannata et al. and the model of Hatano and Nelson.