東華大學圖書館 |

語系: 繁體中文

說明(常見問題)

回圖書館首頁

手機版館藏查詢

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Non-self-adjoint schrödinger operat...

Veliev, Oktay.

FindBook

Google Book

Amazon

博客來

Non-self-adjoint schrödinger operator with a periodic potential = spectral theories for scalar and vectorial cases and their generalizations /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Non-self-adjoint schrödinger operator with a periodic potential/ by Oktay Veliev.
其他題名:	spectral theories for scalar and vectorial cases and their generalizations /
作者:	Veliev, Oktay.
出版者:	Cham :Springer Nature Switzerland : : 2025.,
面頁冊數:	xv, 472 p. :ill. (chiefly color), digital ;24 cm.
內容註:	1.Introduction and Overview -- 2.Spectral Theory for the Schr¨odinger Operator with a ComplexValued Periodic Potential -- 3.On the Special Potentials -- 4.On the Mathieu-Schr¨odinger Operator -- 5.PT-Symmetric Periodic Optical Potential -- 6.On the Schr¨odinger Operator with a Periodic Matrix Potential -- 7.Some Generalizations and Supplements.
Contained By:	Springer Nature eBook
標題:	Schrödinger operator. -
電子資源:	https://doi.org/10.1007/978-3-031-90259-8
ISBN:	9783031902598

Non-self-adjoint schrödinger operator with a periodic potential = spectral theories for scalar and vectorial cases and their generalizations /
Veliev, Oktay.

Non-self-adjoint schrödinger operator with a periodic potentialspectral theories for scalar and vectorial cases and their generalizations /[electronic resource] :by Oktay Veliev. - Second edition. - Cham :Springer Nature Switzerland :2025. - xv, 472 p. :ill. (chiefly color), digital ;24 cm.

1.Introduction and Overview -- 2.Spectral Theory for the Schr¨odinger Operator with a ComplexValued Periodic Potential -- 3.On the Special Potentials -- 4.On the Mathieu-Schr¨odinger Operator -- 5.PT-Symmetric Periodic Optical Potential -- 6.On the Schr¨odinger Operator with a Periodic Matrix Potential -- 7.Some Generalizations and Supplements.

This book offers a comprehensive exploration of spectral theory for non-self-adjoint differential operators with complex-valued periodic coefficients, addressing one of the most challenging problems in mathematical physics and quantum mechanics: constructing spectral expansions in the absence of a general spectral theorem. It examines scalar and vector Schrödinger operators, including those with PT-symmetric periodic optical potentials, and extends these methodologies to higher-order operators with periodic matrix coefficients. The second edition significantly expands upon the first by introducing two new chapters that provide a complete description of the spectral theory of non-self-adjoint differential operators with periodic coefficients. The first of these new chapters focuses on the vector case, offering a detailed analysis of the spectral theory of non-self-adjoint Schrödinger operators with periodic matrix potentials. It thoroughly examines eigenvalues, eigenfunctions, and spectral expansions for systems of one-dimensional Schrödinger operators. The second chapter develops a comprehensive spectral theory for all ordinary differential operators, including higher-order and vector cases, with periodic coefficients. It also includes a complete classification of the spectrum for PT-symmetric periodic differential operators, making this edition the most comprehensive treatment of these topics to date. The book begins with foundational topics, including spectral theory for Schrödinger operators with complex-valued periodic potentials, and systematically advances to specialized cases such as the Mathieu-Schrödinger operator and PT-symmetric periodic systems. By progressively increasing the complexity, it provides a unified and accessible framework for students and researchers. The approaches developed here open new horizons for spectral analysis, particularly in the context of optics, quantum mechanics, and mathematical physics.

ISBN: 9783031902598

Standard No.: 10.1007/978-3-031-90259-8doiSubjects--Topical Terms:

3414432
Schrödinger operator.

LC Class. No.: QC174.17.S3

Dewey Class. No.: 530.124

Non-self-adjoint schrödinger operator with a periodic potential = spectral theories for scalar and vectorial cases and their generalizations /
LDR:03477nmm a2200349 a 4500 001 2413668
003 DE-He213
005 20250703130248.0
006 m d
007 cr nn 008maaau
008 260205s2025 sz s 0 eng d
020 $a 9783031902598 $q (electronic bk.)
020 $a 9783031902581 $q (paper)
024 7 $a 10.1007/978-3-031-90259-8 $2 doi
035 $a 978-3-031-90259-8
040 $a GP $c GP
041 0 $a eng
050 4 $a QC174.17.S3
072 7 $a PHU $2 bicssc
072 7 $a SCI040000 $2 bisacsh
072 7 $a PHU $2 thema
082 0 4 $a 530.124 $2 23
090 $a QC174.17.S3 $b V437 2025
100 1 $a Veliev, Oktay. $3 2139714
245 1 0 $a Non-self-adjoint schrödinger operator with a periodic potential $h [electronic resource] : $b spectral theories for scalar and vectorial cases and their generalizations / $c by Oktay Veliev.
250 $a Second edition.
260 $a Cham : $b Springer Nature Switzerland : $b Imprint: Springer, $c 2025.
300 $a xv, 472 p. : $b ill. (chiefly color), digital ; $c 24 cm.
338 $a online resource $b cr $2 rdacarrier
505 0 $a 1.Introduction and Overview -- 2.Spectral Theory for the Schr¨odinger Operator with a ComplexValued Periodic Potential -- 3.On the Special Potentials -- 4.On the Mathieu-Schr¨odinger Operator -- 5.PT-Symmetric Periodic Optical Potential -- 6.On the Schr¨odinger Operator with a Periodic Matrix Potential -- 7.Some Generalizations and Supplements.
520 $a This book offers a comprehensive exploration of spectral theory for non-self-adjoint differential operators with complex-valued periodic coefficients, addressing one of the most challenging problems in mathematical physics and quantum mechanics: constructing spectral expansions in the absence of a general spectral theorem. It examines scalar and vector Schrödinger operators, including those with PT-symmetric periodic optical potentials, and extends these methodologies to higher-order operators with periodic matrix coefficients. The second edition significantly expands upon the first by introducing two new chapters that provide a complete description of the spectral theory of non-self-adjoint differential operators with periodic coefficients. The first of these new chapters focuses on the vector case, offering a detailed analysis of the spectral theory of non-self-adjoint Schrödinger operators with periodic matrix potentials. It thoroughly examines eigenvalues, eigenfunctions, and spectral expansions for systems of one-dimensional Schrödinger operators. The second chapter develops a comprehensive spectral theory for all ordinary differential operators, including higher-order and vector cases, with periodic coefficients. It also includes a complete classification of the spectrum for PT-symmetric periodic differential operators, making this edition the most comprehensive treatment of these topics to date. The book begins with foundational topics, including spectral theory for Schrödinger operators with complex-valued periodic potentials, and systematically advances to specialized cases such as the Mathieu-Schrödinger operator and PT-symmetric periodic systems. By progressively increasing the complexity, it provides a unified and accessible framework for students and researchers. The approaches developed here open new horizons for spectral analysis, particularly in the context of optics, quantum mechanics, and mathematical physics.
650 0 $a Schrödinger operator. $3 3414432
650 0 $a Selfadjoint operators. $3 708306
650 1 4 $a Theoretical, Mathematical and Computational Physics. $3 1066859
650 2 4 $a Quantum Physics. $3 893952
650 2 4 $a Mathematical Methods in Physics. $3 890898
650 2 4 $a Condensed Matter Physics. $3 1067080
650 2 4 $a Optics and Photonics. $3 1060604
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
856 4 0 $u https://doi.org/10.1007/978-3-031-90259-8
950 $a Physics and Astronomy (SpringerNature-11651)