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
Contributor
Author
Provider
Subject
Language
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
http://library.link/vocab/creatorName
Shchepetilov, Alexey V
Image bit depth
0
LC call number
QC5.53
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
SpringerLink
Series statement
Lecture Notes in Physics,
Series volume
707
http://library.link/vocab/subjectName
  • Physics
  • Global differential geometry
  • Mathematical physics
  • Mechanics
  • Physics
  • Mathematical Methods in Physics
  • Differential Geometry
  • Mechanics
Label
Calculus and Mechanics on Two-Point Homogenous Riemannian Spaces, by Alexey V. Shchepetilov, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
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
Extent
XVII, 255 p. Also available online.
File format
multiple file formats
Form of item
electronic
Isbn
9783540353867
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/b11771456
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-540-35386-7
Label
Calculus and Mechanics on Two-Point Homogenous Riemannian Spaces, by Alexey V. Shchepetilov, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
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
Extent
XVII, 255 p. Also available online.
File format
multiple file formats
Form of item
electronic
Isbn
9783540353867
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/b11771456
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-540-35386-7

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