000 | 03683nam a22005055i 4500 | ||
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001 | 978-3-540-44730-6 | ||
003 | DE-He213 | ||
005 | 20190213151455.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s2001 gw | s |||| 0|eng d | ||
020 |
_a9783540447306 _9978-3-540-44730-6 |
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024 | 7 |
_a10.1007/3-540-44730-X _2doi |
|
050 | 4 | _aQC19.2-20.85 | |
072 | 7 |
_aPHU _2bicssc |
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_aSCI040000 _2bisacsh |
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072 | 7 |
_aPHU _2thema |
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082 | 0 | 4 |
_a530.1 _223 |
100 | 1 |
_aCalogero, Francesco. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
245 | 1 | 0 |
_aClassical Many-Body Problems Amenable to Exact Treatments _h[electronic resource] : _b(Solvable and/or Integrable and/or Linearizable...) in One-, Two- and Three-Dimensional Space / _cby Francesco Calogero. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2001. |
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300 |
_aXVIII, 749 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Physics Monographs, _x0940-7677 ; _v66 |
|
505 | 0 | _aClassical (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. | |
520 | _aThis 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 book form. One of the main novelties is the treatment of problems in two- and three-dimensional space. Many related techniques are presented, e.g. the theory of generalized Lagrangian-type interpolation in higher-dimensional spaces. This book is written for students as well as for researchers; it works out detailed examples before going on to treat more general cases. Many results are presented via exercises, with clear hints pointing to their solutions. | ||
650 | 0 | _aMechanics. | |
650 | 0 | _aMathematics. | |
650 | 1 | 4 |
_aTheoretical, Mathematical and Computational Physics. _0http://scigraph.springernature.com/things/product-market-codes/P19005 |
650 | 2 | 4 |
_aClassical Mechanics. _0http://scigraph.springernature.com/things/product-market-codes/P21018 |
650 | 2 | 4 |
_aApplications of Mathematics. _0http://scigraph.springernature.com/things/product-market-codes/M13003 |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783662143445 |
776 | 0 | 8 |
_iPrinted edition: _z9783662143438 |
776 | 0 | 8 |
_iPrinted edition: _z9783540417644 |
830 | 0 |
_aLecture Notes in Physics Monographs, _x0940-7677 ; _v66 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/3-540-44730-X |
912 | _aZDB-2-PHA | ||
912 | _aZDB-2-LNP | ||
912 | _aZDB-2-BAE | ||
999 |
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