The Resource Calculus and Mechanics on Two-Point Homogenous Riemannian Spaces, by Alexey V. Shchepetilov, (electronic resource)

Calculus and Mechanics on Two-Point Homogenous Riemannian Spaces, by Alexey V. Shchepetilov, (electronic resource)

Label
Calculus and Mechanics on Two-Point Homogenous Riemannian Spaces
Title
Calculus and Mechanics on Two-Point Homogenous Riemannian Spaces
Statement of responsibility
by Alexey V. Shchepetilov
Creator
Author
Author
Subject
Language
  • eng
  • eng
Summary
The present monograph gives a short and concise introduction to classical and quantum mechanics on two-point homogenous Riemannian spaces, with empahsis on spaces with constant curvature. Chapter 1-4 provide the basic notations from differential geometry for studying two-body dynamics in these spaces. Chapter 5 deals with the problem of finding explicitly invariant expressions for the two-body quantum Hamiltonian. Chapter 6 addresses one-body problems in a central potential. Chapter 7 studies the classical counterpart of the quantum system of chapter 5. Chapter 8 investigates some applications in the quantum realm, namely for the coulomb and oscillator potentials
Member of
Is Subseries of
http://library.link/vocab/creatorName
Shchepetilov, Alexey V
Dewey number
516.362
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
BuaOKQib8OQ
Language note
English
LC call number
QC5.53
Literary form
non fiction
Nature of contents
dictionaries
Series statement
Lecture Notes in Physics,
Series volume
707
http://library.link/vocab/subjectName
  • Mathematical physics
  • Global differential geometry
  • Mechanics
  • Mathematical Methods in Physics
  • Differential Geometry
  • Classical Mechanics
Label
Calculus and Mechanics on Two-Point Homogenous Riemannian Spaces, by Alexey V. Shchepetilov, (electronic resource)
Instantiates
Publication
Note
Introduction
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
Two-Point Homogeneous Riemannian Spaces -- Differential Operators on Smooth Manifolds -- Algebras of Invariant Differential Operators on Unit Sphere Bundles Over Two-Point Homogeneous Riemannian Spaces -- Hamiltonian Systems with Symmetry and Their Reduction -- Two-Body Hamiltonian on Two-Point Homogeneous Spaces -- Particle in a Central Field on Two-Point Homogeneous Spaces -- Classical Two-Body Problem on Two-Point Homogeneous Riemannian Spaces -- Quasi-Exactly Solvability of the Quantum Mechanical Two-Body Problem on Spheres
Dimensions
unknown
Edition
1st ed. 2006.
Extent
1 online resource (265 p.)
Form of item
online
Isbn
9783540353867
Media category
computer
Media type code
  • c
Other control number
10.1007/b11771456
Specific material designation
remote
System control number
  • (CKB)1000000000282256
  • (EBL)3036491
  • (SSID)ssj0000116789
  • (PQKBManifestationID)11898342
  • (PQKBTitleCode)TC0000116789
  • (PQKBWorkID)10036223
  • (PQKB)11296544
  • (DE-He213)978-3-540-35386-7
  • (MiAaPQ)EBC3036491
  • (EXLCZ)991000000000282256
Label
Calculus and Mechanics on Two-Point Homogenous Riemannian Spaces, by Alexey V. Shchepetilov, (electronic resource)
Publication
Note
Introduction
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
Two-Point Homogeneous Riemannian Spaces -- Differential Operators on Smooth Manifolds -- Algebras of Invariant Differential Operators on Unit Sphere Bundles Over Two-Point Homogeneous Riemannian Spaces -- Hamiltonian Systems with Symmetry and Their Reduction -- Two-Body Hamiltonian on Two-Point Homogeneous Spaces -- Particle in a Central Field on Two-Point Homogeneous Spaces -- Classical Two-Body Problem on Two-Point Homogeneous Riemannian Spaces -- Quasi-Exactly Solvability of the Quantum Mechanical Two-Body Problem on Spheres
Dimensions
unknown
Edition
1st ed. 2006.
Extent
1 online resource (265 p.)
Form of item
online
Isbn
9783540353867
Media category
computer
Media type code
  • c
Other control number
10.1007/b11771456
Specific material designation
remote
System control number
  • (CKB)1000000000282256
  • (EBL)3036491
  • (SSID)ssj0000116789
  • (PQKBManifestationID)11898342
  • (PQKBTitleCode)TC0000116789
  • (PQKBWorkID)10036223
  • (PQKB)11296544
  • (DE-He213)978-3-540-35386-7
  • (MiAaPQ)EBC3036491
  • (EXLCZ)991000000000282256

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