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Off-Diagonal Bethe Ansatz for Exactly Solvable Models

Off-Diagonal Bethe Ansatz for Exactly Solvable Models

Autorzy
Wydawnictwo Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Data wydania 22/04/2015
Liczba stron 296
Forma publikacji książka w twardej oprawie
Poziom zaawansowania Dla profesjonalistów, specjalistów i badaczy naukowych
ISBN 9783662467558
Kategorie Stany skupienia materii, Fizyka statyczna, Fizyka Matematyczna
378.35 PLN (z VAT)
$103.23 / £78.50 / €89.24 /
Produkt na zamówienie
Przesyłka w 3-4 tygodnie
Ilość
Do schowka

Opis książki

This book serves as an introduction of the off-diagonal Bethe Ansatz method, an analytic theory for the eigenvalue problem of quantum integrable models. It also presents some fundamental knowledge about quantum integrability and the algebraic Bethe Ansatz method. Based on the intrinsic properties of R-matrix and K-matrices, the book introduces a systematic method to construct operator identities of transfer matrix. These identities allow one to establish the inhomogeneous T-Q relation formalism to obtain Bethe Ansatz equations and to retrieve corresponding eigenstates. Several longstanding models can thus be solved via this method since the lack of obvious reference states is made up. Both the exact results and the off-diagonal Bethe Ansatz method itself may have important applications in the fields of quantum field theory, low-dimensional condensed matter physics, statistical physics and cold atom systems.

Off-Diagonal Bethe Ansatz for Exactly Solvable Models

Spis treści

Overview.- The algebraic Bethe ansatz.- The periodic anisotropic spin-1/2 chains.- The spin-1/2 torus.- The spin-1/2 chain with arbitrary boundary fields.- The one-dimensional Hubbard model.- The nested off-diagonal Bethe ansatz.- The hierarchical off-diagonal Bethe Ansatz.- The Izergin-Korepin model.

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