Deforming Gabor frames by quadratic Hamiltonians

CSpace > 应用数学研究所

	Deforming Gabor frames by quadratic Hamiltonians
	Luo, SL
	2000
发表期刊	INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS
ISSN	1065-2469
卷号	9 期号:1 页码:69-74
摘要	In quantum mechanical Heisenberg algebra, evolutions generated by quadratic Hamiltonians are unitary integral transforms on Fock space. By deforming Gabor frames along these evolutions, we obtain a wide class of Gabor frames with the same same bounds. Of particular examples are rotations and squeezings.
关键词	Gabor frames Bargmann representation quadratic Hamiltonians Wick symbol Weyl operators
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000087878000006
出版者	GORDON BREACH SCI PUBL LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/15003
专题	应用数学研究所
通讯作者	Luo, SL
作者单位	Acad Sinica, Inst Appl Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Luo, SL. Deforming Gabor frames by quadratic Hamiltonians[J]. INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS,2000,9(1):69-74.
APA	Luo, SL.(2000).Deforming Gabor frames by quadratic Hamiltonians.INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS,9(1),69-74.
MLA	Luo, SL."Deforming Gabor frames by quadratic Hamiltonians".INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS 9.1(2000):69-74.