Stationary phase approximation and quantum soliton families

DOI10.1016/0003-4916(88)90104-2zbMath0661.58042OpenAlexW2035070718MaRDI QIDQ1113154

Juan Mateos Guilarte

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0003-4916(88)90104-2

zbMATH Keywords

energypathssolitonsdynamical systemwavefunctionsspace of a completely integrable systemStationary Phase Approximation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Applications of global analysis to the sciences (58Z05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Perturbation theories for operators and differential equations in quantum theory (81Q15)

Related Items (9)

Unstable geodesics and topological field theory ⋮ Non-topological kink scattering in a two-component scalar field theory model ⋮ Gauge theory strings and minimal surfaces ⋮ Changing shapes: adiabatic dynamics of composite solitary waves ⋮ On domain walls in a Ginzburg-Landau non-linear \(\mathbb{S}^{2}\)-sigma model ⋮ Composite solitary waves in three-component scalar field theory: three-body low-energy scattering ⋮ Generalized MSTB models: Structure and kink varieties ⋮ Sphalerons and instantons in two-dimensional field theory ⋮ Generalized zeta functions and one-loop corrections to quantum kink masses

Cites Work

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• \(\zeta\)-function method for infinite series
• There are no Goldstone bosons in two dimensions
• R-torsion and the Laplacian on Riemannian manifolds
• Lectures on Morse theory, old and new

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