Classical many-body problems amenable to exact treatments : (solvable and/or integrable and/or linearizable...) in one-, two-, and three- dimensional space

This book focuses on exactly treatable classical (i.e. non-quantal non-relativistic) many-body problems, as described by Newton's equation of motion for mutually interacting point particles. Most of the material is based on the author's research and is published here for the first time in...

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Autor principal: Calogero, Francesco, 1935-2026
Format: Livre numérique
Idioma:Anglais
Publicat: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Col·lecció:Lecture notes in physics. M, Monographs 66
Matèries:
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Nota: Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
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Edition sous un autre format:• Classical many-body problems amenable to exact treatments, solvable and/or integrable and/or linearizable... in one-, two-, and three- dimensional space, Francesco Calogero, 2001, Berlin, Springer, 1 vol. (XVIII-749 p.), Physics and astronomy online library, 3-540-41764-8
• Classical Many-Body Problems Amenable to Exact Treatments, Texte imprimé, 9783662143438
• Classical Many-Body Problems Amenable to Exact Treatments, Texte imprimé, 9783662143445
Taula de continguts:
  • Classical (Nonquantal, Nonrelativistic) Many-Body Problems
  • One-Dimensional Systems. Motions on the Line and on the Circle
  • N-Body Problems Treatable Via Techniques of Exact Lagrangian Interpolation in Space of One or More Dimensions
  • Solvable and/or Integrable Many-Body Problems in the Plane, Obtained by Complexification
  • Many-Body Systems in Ordinary (Three-Dimensional) Space: Solvable, Integrable, Linearizable Problems
  • Appendices: A: Elliptic Functions
  • B: Functional Equations
  • C: Hermite Polynomials
  • D: Remarkable Matrices and Related Identities
  • E: Langrangian Approximation for Eigenvalue Problems in One and More Dimensions
  • F: Some Theorems of Elementary Geometry in Multidimensions
  • G: Asymptotic Behavior of the Zeros of a Polynomial Whose Coefficients Diverge Exponentially
  • H: Some Formulas for Pauli Matrices and Three-Vectors
  • References.