Mass corrections to periodic solitons

DOI10.1063/1.527583zbMath0625.46066OpenAlexW2004629097MaRDI QIDQ3027698

Harry W. Braden

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1063/1.527583

zbMATH Keywords

integrable systemsinverse scatteringdiscriminant of the Hill's operatorquantum mass corrections to static periodic solitons

Mathematics Subject Classification ID

Geometry and quantization, symplectic methods (81S10) Quantum scattering theory (81U99) Scattering theory of linear operators (47A40) Miscellaneous applications of functional analysis (46N99)

Related Items (1)

Quantization of sine-Gordon solitons on the circle: Semiclassical vs. exact results

Cites Work

• Classical and quantum algebras of non-local charges in \(\sigma\) models
• The spectrum of Hill's equation
• On the inverse problem for Hill's operator
• Zeta function regularization of path integrals in curved spacetime
• Function-theoretic properties of the discriminant of Hill's equation
• Eine Umkehrung der Sturm-Liouvilleschen Eigenwertaufgabe. Bestimmung der Differentialgleichung durch die Eigenwerte
• Trace formulas for Sturm-Liouville differential operators
• Periodic functional determinants
• The sine-gordon and sinh-gordon equations on the circle
• Periodic solutions of the KdV equation
• Hill's operator and hyperelliptic function theory in the presence of infinitely many branch points
• The inverse problem for periodic potentials
• V.—The Periodic Lamé Functions
• On the determination of a Hill's equation from its spectrum

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