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Factorization of the Non-Stationary Schrödinger Operator

✍ Scribed by Paula Cerejeiras; Nelson Vieira

Publisher
Springer
Year
2007
Tongue
English
Weight
192 KB
Volume
17
Category
Article
ISSN
0188-7009

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📜 SIMILAR VOLUMES

Regularization of the non-stationary Sch
Regularization of the non-stationary Schrödinger operator
✍ Paula Cerejeiras; Nelson Vieira 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 179 KB

## Abstract In this paper we prove a __L__~__p__~‐decomposition where one of the components is the kernel of a first‐order differential operator that factorizes the non‐stationary Schrödinger operator −Δ−__i__∂~__t__~. Copyright © 2008 John Wiley & Sons, Ltd.

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Non-monotonic Random Schrödinger Operators: The Anderson Model
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We prove exponential localization at all energies for one-dimensional continuous Anderson-type models with single site potentials of changing sign. A periodic background potential is allowed. The main problem arises from non-monotonicity; i.e., the operator does not depend monotonically in the form

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On a factorization of the Schrödinger and Klein–Gordon operators
✍ Paula Cerejeiras; Uwe Kähler; Vladislav V. Kravchenko 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 141 KB

## Abstract A general scheme for factorizing second‐order time‐dependent operators of mathematical physics is given, which allows a reduction of corresponding second‐order equations to biquaternionic equations of first order. Examples of application of the proposed scheme are presented for both con