Spatial quantum Zeno effect

Shunlong Luo

doi:10.1016/S0378-4371(02)01345-6

Spatial quantum Zeno effect

Shunlong Luo

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

8 Citations (Scopus)

Abstract

The quantum Zeno effect is usually discussed in the context of temporal evolution of a quantum state. We investigate its counterpart in the spatial context and present a general criterion for the occurrence of spatial quantum Zeno effect. Furthermore, a parameter-based position-momentum uncertainty relation involving absolute moment of any order less than 2 is obtained. © 2003 Elsevier Science B.V. All rights reserved.

Original language	English
Pages (from-to)	509-516
Journal	Physica A: Statistical Mechanics and its Applications
Volume	317
Issue number	3-4
DOIs	https://doi.org/10.1016/S0378-4371(02)01345-6
Publication status	Published - 15 Jan 2003
Externally published	Yes

Bibliographical note

Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].

Funding

The work is supported by NSF of China, Grant No. 10131040, and by the Liu Bie Ju Center for Mathematical Sciences, City University of Hong Kong, Project No. 9360020.

Research Keywords

Fourier transform
Parameter-based uncertainty relation
Spatial quantum Zeno effect
Survival amplitude

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10.1016/S0378-4371(02)01345-6

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title = "Spatial quantum Zeno effect",

abstract = "The quantum Zeno effect is usually discussed in the context of temporal evolution of a quantum state. We investigate its counterpart in the spatial context and present a general criterion for the occurrence of spatial quantum Zeno effect. Furthermore, a parameter-based position-momentum uncertainty relation involving absolute moment of any order less than 2 is obtained. {\textcopyright} 2003 Elsevier Science B.V. All rights reserved.",

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T1 - Spatial quantum Zeno effect

AU - Luo, Shunlong

N1 - Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].

PY - 2003/1/15

Y1 - 2003/1/15

N2 - The quantum Zeno effect is usually discussed in the context of temporal evolution of a quantum state. We investigate its counterpart in the spatial context and present a general criterion for the occurrence of spatial quantum Zeno effect. Furthermore, a parameter-based position-momentum uncertainty relation involving absolute moment of any order less than 2 is obtained. © 2003 Elsevier Science B.V. All rights reserved.

AB - The quantum Zeno effect is usually discussed in the context of temporal evolution of a quantum state. We investigate its counterpart in the spatial context and present a general criterion for the occurrence of spatial quantum Zeno effect. Furthermore, a parameter-based position-momentum uncertainty relation involving absolute moment of any order less than 2 is obtained. © 2003 Elsevier Science B.V. All rights reserved.

KW - Fourier transform

KW - Parameter-based uncertainty relation

KW - Spatial quantum Zeno effect

KW - Survival amplitude

UR - https://www.scopus.com/pages/publications/0037437775

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U2 - 10.1016/S0378-4371(02)01345-6

DO - 10.1016/S0378-4371(02)01345-6

M3 - RGC 21 - Publication in refereed journal

SN - 0378-4371

VL - 317

SP - 509

EP - 516

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

IS - 3-4

ER -

Spatial quantum Zeno effect

Abstract

Bibliographical note

Funding

Research Keywords

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ResEngCtrs/Hubs: Liu Bie Ju Centre for Mathematical Sciences (LBJ) (University Fund)

Cite this

Spatial quantum Zeno effect

Abstract

Bibliographical note

Funding

Research Keywords

Access Output

Other Access Options

Permanent Link

Other Files and Links

Projects

ResEngCtrs/Hubs: Liu Bie Ju Centre for Mathematical Sciences (LBJ) (University Fund)

Cite this