منابع مشابه
Exact Propagators for Soliton Potentials
Using the method of Darboux transformations (or equivalently supersymmetric quantum mechanics) we obtain an explicit expression for the propagator for the onedimensional Schrödinger equation with a multi-soliton potential.
متن کاملExact propagators for complex SUSY partners of real potentials
A method for calculating exact propagators for those complex potentials with a real spectrum which are SUSY partners of real potentials is presented. It is illustrated by examples of propagators for some complex SUSY partners of the harmonic oscillator and zero potentials. Recently a considerable attention has been paid to investigating different properties of non-Hermitian Hamiltonians (see e....
متن کاملExact propagators for SUSY partners
Pairs of SUSY partner Hamiltonians are studied which are interrelated by usual (linear) or polynomial supersymmetry. Assuming the model of one of the Hamiltonians as exactly solvable with known propagator, expressions for propagators of partner models are derived. The corresponding general results are applied to “a particle in a box”, the Harmonic oscillator and a free particle (i.e. to transpa...
متن کاملExact propagators for atom - laser interactions
A class of exact propagators describing the interaction of an N -level atom with a set of on-resonance δ-lasers is obtained by means of the Laplace transform method. State-selective mirrors are described in the limit of strong lasers. The ladder, V and Λ configurations for a three-level atom are discussed. For the two level case, the transient effects arising as result of the interaction betwee...
متن کاملGaussian bounds for propagators perturbed by potentials
We develop the perturbation theory for propagators, with the objective to prove Gaussian bounds. Let U be a strongly continuous propagator, i.e., a family of operators describing the solutions of a non-autonomous evolution equation, on an Lp-space, and assume that U is positive and satisfies Gaussian upper and lower bounds. Let V be a (time-dependent) potential satisfying certain Miyadera condi...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Symmetry, Integrability and Geometry: Methods and Applications
سال: 2005
ISSN: 1815-0659
DOI: 10.3842/sigma.2005.020