Non-Hermitian quantum mechanics and localization

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Contents

Non-Hermitian quantum mechanics and localization

Why is non-Hermitian QM interesting?

Outline

Non-Hermitian Anderson Model

Non-Hermitian Anderson Model (Lattice Model)

Non-Hermitian delocalization

Imaginary gauge transformation

Convergent wave function

Localization length of Hermitian Anderson model

Numerical Example: Delocalization of eigenfunction

Numerical Example: Complex eigenspetra

Esitmation of localization length

Vortex pinning in high-Tc superconductors

Path-integral mapping of vortex system

Pinning and localization

Resonant states

Resonance states and imaginary gauge transformation

Other applications

Author: Naomichi Hatano 

e-mail address: hatano@phys.aoyama.ac.jp

web page: http://www.phys.aoyama.ac.jp/~w3-hatano/hatano

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