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Pseudo-Bosons and Their Coherent States

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Pseudo-Bosons and Their Coherent States/ by Fabio Bagarello.
作者:	Bagarello, Fabio.
面頁冊數:	XI, 201 p. 5 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Applications of Mathematics. -
電子資源:	https://doi.org/10.1007/978-3-030-94999-0
ISBN:	9783030949990

Pseudo-Bosons and Their Coherent States
Bagarello, Fabio.

Pseudo-Bosons and Their Coherent States[electronic resource] /by Fabio Bagarello. - 1st ed. 2022. - XI, 201 p. 5 illus. in color.online resource. - Mathematical Physics Studies,2352-3905. - Mathematical Physics Studies,.

Introduction -- Bosons and Pseudo-Bosons -- Other Ladder Operators -- Our Way to the BCH Formula -- Bi-coherent States -- Examples of Bi-coherent States -- Weak Pseudo-Bosons and Related Bi-coherent States -- An Application to Transition Probability -- Conclusions -- Appendix.

This book is based on the analysis of canonical commutation relations (CCRs) and their possible deformations. In light of the recent interest on PT-quantum mechanics, the author presents a special deformed version of the CCRs, and discusses the consequences of this deformation both from a mathematical side, and for its possible applications to physics. These include the analysis of several non self-adjoint Hamiltonians, a novel view to the position and momentum operators, and a general approach to compute path integrals and transition probabilities using the so-called bi-coherent states. The book is meant for researchers and is also suited for advanced students. It can be used as a gentle introduction to some delicate aspects in functional analysis and in quantum mechanics for non self-adjoint observables.

ISBN: 9783030949990

Standard No.: 10.1007/978-3-030-94999-0doiSubjects--Topical Terms:

669175
Applications of Mathematics.

LC Class. No.: QC19.2-20.85

Dewey Class. No.: 530.15

Pseudo-Bosons and Their Coherent States
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