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Pt-Symmetric Schrodinger Operators with Unbounded Potentials (2011)

PT-Symmetric Schrödinger Operators with Unbounded Potentials

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"PT-Symmetric Schrödinger Operators with Unbounded Potentials" by Jan Nesemann is a mathematics book and learning resource focused on Core Mathematics. Best for teachers, students, and readers looking for stronger mathematical understanding.

Jan Nesemann studies relatively bounded perturbations of self-adjoint operators in Krein spaces with real spectrum. The main results provide conditions which guarantee the spectrum of the perturbed operator to remain real. Similar results are established for relatively form-bounded perturbations and for pseudo-Friedrichs extensions. The author pays particular attention to the case when the unperturbed self-adjoint operator has infinitely many spectral gaps, either between eigenvalues or, more generally, between separated parts of the spectrum.

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Best For: Researchers and graduate students in functional analysis and operator theory
Focus: Examines conditions under which perturbations of self-adjoint operators in Krein spaces maintain a real spectrum
Covers: Relatively bounded and form-bounded perturbations, pseudo-Friedrichs extensions, and operators with infinitely many spectral points
Why It Matters: Provides rigorous criteria for spectral stability in PT-symmetric Schrödinger operators with unbounded potentials, relevant for mathematical physics and spectral theory

"PT-Symmetric Schrödinger Operators with Unbounded Potentials" by Jan Nesemann is a mathematics book and learning resource focused on Core Mathematics. Best for teachers, students, and readers looking for stronger mathematical understanding.

Topic: Core Mathematics

Author: Jan Nesemann

Who this is for:

  • Teachers and classroom instructors
  • Students building subject mastery
  • Readers looking for practical learning support

Why this book matters: It stands out as a practical math resource that helps explain concepts, strengthen problem-solving, and support classroom or independent learning.

Jan Nesemann studies relatively bounded perturbations of self-adjoint operators in Krein spaces with real spectrum. The main results provide conditions which guarantee the spectrum of the perturbed operator to remain real. Similar results are established for relatively form-bounded perturbations and for pseudo-Friedrichs extensions. The author pays particular attention to the case when the unperturbed self-adjoint operator has infinitely many spectral gaps, either between eigenvalues or, more generally, between separated parts of the spectrum.

AuthorJan Nesemann
PublisherVieweg+Teubner Verlag
Published2011-07-14
ISBN-139783834817624
BindingPaperback
Pages83
LanguageEnglish
SubjectsMathematics
TopicCore Mathematics

Format: Paperback

Length: 83 pages

Language: English

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