Adiabatic Product Expansion

Abstract

The time-evolution operator for an explicitly time-dependent Hamiltonian is expressed as the product of a sequence of unitary operators. These are obtained by successive time-dependent unitary transformations of the Hilbert space followed by the adiabatic approximation at each step. The resulting adiabatic product expansion yields a generalization of the quantum adiabatic approximation. Furthermore, it leads to an infinite class of exactly solvable models.

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Cited by in corpus (4)

• Two-Component Formulation of the Wheeler-DeWitt Equation
• Generalized Adiabatic Product Expansion: A nonperturbative method of solving time-dependent Schroedinger equation
• Adiabatic Series Expansion and Higher-Order Semiclassical Approximations in Scattering Theory
• Supersymmetric Dynamical Invariants