Topologically protected states in one-dimensional systems / C.L. Fefferman, J.P. Lee-Thorp, M.I. Weinstein.

Format:

Book

Author/Creator:

Fefferman, Charles, 1949-

Contributor:

Lee-Thorp, J. P. (James P.), 1987-

Weinstein, Michael I.

Series:

Memoirs of the American Mathematical Society ; v. 1173.

Memoirs of the American Mathematical Society, 1947-6221 ; v. 1173

Language:

English

Subjects (All):

Quantum theory.

Schrödinger operator.

Topology.

Dirac equation.

Physical Description:

1 online resource (pages cm.)

Place of Publication:

Providence, Rhode Island : American Mathematical Society, 2017.

System Details:

Mode of access : World Wide Web

text file

Contents:

Chapter 1. Introduction and Outline Chapter 2. Floquet-Bloch and Fourier Analysis Chapter 3. Dirac Points of 1D Periodic Structures Chapter 4. Domain Wall Modulated Periodic Hamiltonian and Formal Derivation of Topologically Protected Bound States Chapter 5. Main Theorem

Bifurcation of Topologically Protected States Chapter 6. Proof of the Main Theorem Appendix A. A Variant of Poisson Summation Appendix B. 1D Dirac points and Floquet-Bloch Eigenfunctions Appendix C. Dirac Points for Small Amplitude Potentials Appendix D. Genericity of Dirac Points - 1D and 2D cases Appendix E. Degeneracy Lifting at Quasi-momentum Zero Appendix F. Gap Opening Due to Breaking of Inversion Symmetry Appendix G. Bounds on Leading Order Terms in Multiple Scale Expansion Appendix H. Derivation of Key Bounds and Limiting Relations in the Lyapunov-Schmidt Reduction

Notes:

Includes bibliographical references.

Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2017

Description based on print version record.

Other Format:

Print version: Fefferman, Charles, 1949- Topologically protected states in one-dimensional systems /

ISBN:

9781470437077

Access Restriction:

Restricted for use by site license.