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Pseudo-Hermitian Representation of Quantum Mechanics
Ali Mostafazadeh
A diagonalizable non-Hermitian Hamiltonian having a real spectrum may be used to define a unitary quantum system, if one modifies the inner product of the Hilbert space properly. W…
Geometric Phase for Non-Hermitian Hamiltonians and Its Holonomy Interpretation
H. Mehri-Dehnavi, A. Mostafazadeh
For an arbitrary possibly non-Hermitian matrix Hamiltonian H, that might involve exceptional points, we construct an appropriate parameter space M and the lines bundle L^n over M s…
Quantum Mechanics of Proca Fields
Farhad Zamani, Ali Mostafazadeh
We construct the most general physically admissible positive-definite inner product on the space of Proca fields. Up to a trivial scaling this defines a five-parameter family of Lo…
On Hamiltonians Generating Optimal-Speed Evolutions
Ali Mostafazadeh
We present a simple derivation of the formula for the Hamiltonian operator(s) that achieve the fastest possible unitary evolution between given initial and final states. We discuss…