Berry phase and supersymmetric topological index

DOI10.1063/1.531176zbMath0884.47052OpenAlexW2019679693MaRDI QIDQ4873388

V. V. Melezhik, G. V. Kalinin, K. N. Il'inskij

Publication date: 1 April 1998

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.531176

zbMATH Keywords

Berry phaseWitten indexadiabatic evolutionsupersymmetric quantum mechanical Hamiltonian

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Supersymmetry and quantum mechanics (81Q60)

Cites Work

• Dynamical breaking of supersymmetry
• Ground state structure in supersymmetric quantum mechanics
• Local rings of singularities and \(N=2\) supersymmetric quantum mechanics
• Relative index theorems and supersymmetric scattering theory
• \(N=2\) supersymmetric quantum mechanics on Riemann surfaces with meromorphic superpotentials.
• QUANTUM SUPERSPACE, q-EXTENDED SUPERSYMMETRY AND PARASUPERSYMMETRIC QUANTUM MECHANICS
• On the degeneracy in the ground state of the N=2 Wess–Zumino supersymmetric quantum mechanics
• Quantal phase factors accompanying adiabatic changes
• Certain properties of Berry's phases in supersymmetric quantum mechanics. II
• Generalized supersymmetric quantum mechanics on Riemann surfaces with meromorphic superpotentials
• Supersymmetry and the Atiyah-Singer index theorem

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