Quasistationary quaternionic Hamiltonians and complex stochastic maps

Abstract

We show that the complex projections of time-dependent $\eta$-quasianti-Hermitian quaternionic Hamiltonian dynamics are complex stochastic dynamics in the space of complex quasi-Hermitian density matrices if and only if a quasistationarity condition is fulfilled, i. e., if and only if $\eta$ is an Hermitian positive time-independent complex operator. An example is also discussed.

Submitted to J. Phys. A on October 25 2007

References in corpus (4)

• Exact PT-Symmetry Is Equivalent to Hermiticity
• Time-Dependent Pseudo-Hermitian Hamiltonians Defining a Unitary Quantum System and Uniqueness of the Metric Operator
• Pseudo-Hermitian Hamiltonians, indefinite inner product spaces and their symmetries
• Alternative Descriptions in Quaternionic Quantum Mechanics

Cited by in corpus (1)

• Time-dependent version of cryptohermitian quantum theory