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On the Dynamical Invariants and the Geometric Phases for a General Spin System in a Changing Magnetic Field
Ali Mostafazadeh
We consider a class of general spin Hamiltonians of the form where and describe the dipole interaction of the spins with an arbitrary time-de…
Variational Sturmian Approximation: A nonperturbative method of solving time-independent Schrödinger equation
Ali Mostafazadeh
A variationally improved Sturmian approximation for solving time-independent Schrödinger equation is developed. This approximation is used to obtain the energy levels of a quartic…
Supersymmetric Dynamical Invariants
Ali Mostafazadeh
We address the problem of identifying the (nonstationary) quantum systems that admit supersymmetric dynamical invariants. In particular, we give a general expression for the bosoni…
Geometric Phases, Symmetries of Dynamical Invariants, and Exact Solution of the Schrödinger Equation
Ali Mostafazadeh
We introduce the notion of the geometrically equivalent quantum systems (GEQS) as quantum systems that lead to the same geometric phases for a given complete set of initial state v…