Non-Hermitian propagation of Hagedorn wavepackets

被引：5

作者：

Lasser, Caroline ^{[1
]}

Schubert, Roman ^{[2
]}

Troppmann, Stephanie ^{[1
]}

机构：

[1] Tech Univ Munich, Zentrum Math, D-80290 Munich, Germany

[2] Univ Bristol, Sch Math, Bristol BS8 1TW, Avon, England

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2018年 / 59卷 / 08期

关键词：

QUADRATIC DIFFERENTIAL-OPERATORS; HARMONIC-OSCILLATOR; WAVE-PACKETS; SEMICLASSICAL DYNAMICS; QUANTUM-MECHANICS; STATES; ASYMPTOTICS; LIMIT;

D O I：

10.1063/1.5026043

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We investigate the time evolution of Hagedorn wavepackets by non-Hermitian quadratic Hamiltonians. We state a direct connection between coherent states and Lagrangian frames. For the time evolution, a multivariate polynomial recursion is derived that describes the activation of lower lying excited states, a phenomenon unprecedented for Hermitian propagation. Finally we apply the propagation of excited states to the Davies-Swanson oscillator. Published by AIP Publishing.

引用

页数：35

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