Phase space quantization and the uncertainty principle

被引：23

作者：

de Gosson, MA ^{[1
]}

机构：

[1] Blekinge Inst Technol, SE-37179 Karlskrona, Sweden

[2] Univ Colorado, Boulder, CO 80302 USA

来源：

PHYSICS LETTERS A | 2003年 / 317卷 / 5-6期

关键词：

quantum cells; quantum uncertainty; symplectic non-squeezing; Lagrangian tori;

D O I：

10.1016/j.physleta.2003.09.008

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We replace the usual heuristic notion of quantum cell by that of 'quantum blob', which does not depend on the dimension of phase space. Quantum blobs, which are defined in terms of symplectic capacities, are canonical invariants. They allow us to prove an exact uncertainty principle for semiclassically quantized Hamiltonian systems. (C) 2003 Elsevier B.V. All rights reserved.

引用

页码：365 / 369

页数：5

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