The Resource Asymptotic Methods in Quantum Mechanics : Application to Atoms, Molecules and Nuclei, by S.H. Patil, K.T. Tang, (electronic resource)

Asymptotic Methods in Quantum Mechanics : Application to Atoms, Molecules and Nuclei, by S.H. Patil, K.T. Tang, (electronic resource)

Label
Asymptotic Methods in Quantum Mechanics : Application to Atoms, Molecules and Nuclei
Title
Asymptotic Methods in Quantum Mechanics
Title remainder
Application to Atoms, Molecules and Nuclei
Statement of responsibility
by S.H. Patil, K.T. Tang
Creator
Contributor
Author
Author
Subject
Language
  • eng
  • eng
Summary
Asymptotic Methods in Quantum Mechanics is a detailed discussion of the general properties of the wave functions of many particle systems. Particular emphasis is placed on their asymptotic behaviour, since the outer region of the wave function is most sensitive to external interaction. The analysis of these local properties helps in constructing simple and compact wave functions for complicated systems. It also helps in developing a broad understanding of different aspects of quantum mechanics. As applications, wave functions with correct asymptotic forms are used to systematically generate a large data base for susceptibilities, polarizabilities, interactomic potentials and nuclear densities of many atomic, molecular and nuclear systems
Member of
http://library.link/vocab/creatorName
Patil, S.H
Dewey number
539.72
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
  • CWP6QTNBnGQ
  • iF5I7bPqo5k
Image bit depth
0
Language note
English
LC call number
  • QC793-793.5
  • QC174.45-174.52
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
Tang, K.T.
Series statement
Springer Series in Chemical Physics,
Series volume
64
http://library.link/vocab/subjectName
  • Quantum theory
  • Chemistry
  • Acoustics
  • Elementary Particles, Quantum Field Theory
  • Theoretical and Computational Chemistry
  • Acoustics
  • Quantum Physics
  • Numerical and Computational Physics, Simulation
  • Atomic, Molecular, Optical and Plasma Physics
Label
Asymptotic Methods in Quantum Mechanics : Application to Atoms, Molecules and Nuclei, by S.H. Patil, K.T. Tang, (electronic resource)
Instantiates
Publication
Note
Bibliographic Level Mode of Issuance: Monograph
Antecedent source
mixed
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
  • cr
Color
not applicable
Content category
text
Content type code
  • txt
Contents
1. Introduction -- 2. General Properties of Wave Functions -- 2.1 Asymptotic Form of Wave Functions -- 2.2 Asymptotic Perturbed Wave Function -- 2.3 Wave Function for rij ? 0 -- 2.4 Wave Function for rij and rik ? 0 -- 2.5 Local Satisfaction of Schrödinger Equation -- 2.6 Variational Stationary Property -- 2.7 Variational Approach to Perturbations -- 2.8 Generalised Virial Theorem -- 2.9 A Simple Example -- 3. Two- and Three-Electron Atoms and Ions -- 3.1 A Simple Wave Function -- 3.2 Wave Functions Satisfying Cusp, Coalescence and Asymptotic Conditions -- 3.3 Three-Electron Wave Functions -- 4. Polarizabilities and Dispersion Coefficients -- 4.1 Polarizabilities -- 4.2 Dispersion Coefficients -- 4.3 Alkali Isoelectronic Sequences -- 4.4 Asymptotic Polarizabilities and Dispersion Coefficients -- 5. Asymptotically Correct Thomas-Fermi Model Density -- 5.1 Thomas-Fermi Model -- 5.2 Solution for the Thomas-Fermi Density -- 5.3 Asymptotic Density -- 5.4 Modified Density -- 5.5 Applications -- 6. Molecules and Molecular Ions with One and Two Electrons -- 6.1 Wave Functions for One-Electron Molecular Ions -- 6.2 Energies for One-Electron Molecular Ions -- 6.3 Wave Function for H2 and He2++ -- 6.4 Results for the Ground State -- 7. Interaction of an Electron with Ions, Atoms, and Molecules -- 7.1 Atomic Rydberg States -- 7.2 Electron-Atom and Electron-Molecule Scattering at High Energies -- 8. Exchange Energy of Diatomic Systems -- 8.1 Exchange Energy of Dimer Ions -- 8.2 Exchange Energy of Diatomic Molecules -- 9. Inter-atomic and Inter-ionic Potentials -- 9.1 Exchange Energy and Exchange Integral in the Heitler-London Theory -- 9.2 Generalized Heitler-London Theory -- 9.3 Inter-atomic and Inter-ionic Potentials -- 10. Proton and Neutron Densities in Nuclei -- 10.1 Semi-phenomenological Density -- 10.2 Determination of the Parameters -- 10.3 Results -- References
Dimensions
unknown
Edition
1st ed. 2000.
Extent
1 online resource (XI, 174 p.)
File format
multiple file formats
Form of item
online
Isbn
9783642573170
Level of compression
uncompressed
Media category
computer
Media type code
  • c
Other control number
10.1007/978-3-642-57317-0
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)3400000000104208
  • (SSID)ssj0001240288
  • (PQKBManifestationID)11683335
  • (PQKBTitleCode)TC0001240288
  • (PQKBWorkID)11207418
  • (PQKB)10382338
  • (DE-He213)978-3-642-57317-0
  • (MiAaPQ)EBC3090352
  • (EXLCZ)993400000000104208
Label
Asymptotic Methods in Quantum Mechanics : Application to Atoms, Molecules and Nuclei, by S.H. Patil, K.T. Tang, (electronic resource)
Publication
Note
Bibliographic Level Mode of Issuance: Monograph
Antecedent source
mixed
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
  • cr
Color
not applicable
Content category
text
Content type code
  • txt
Contents
1. Introduction -- 2. General Properties of Wave Functions -- 2.1 Asymptotic Form of Wave Functions -- 2.2 Asymptotic Perturbed Wave Function -- 2.3 Wave Function for rij ? 0 -- 2.4 Wave Function for rij and rik ? 0 -- 2.5 Local Satisfaction of Schrödinger Equation -- 2.6 Variational Stationary Property -- 2.7 Variational Approach to Perturbations -- 2.8 Generalised Virial Theorem -- 2.9 A Simple Example -- 3. Two- and Three-Electron Atoms and Ions -- 3.1 A Simple Wave Function -- 3.2 Wave Functions Satisfying Cusp, Coalescence and Asymptotic Conditions -- 3.3 Three-Electron Wave Functions -- 4. Polarizabilities and Dispersion Coefficients -- 4.1 Polarizabilities -- 4.2 Dispersion Coefficients -- 4.3 Alkali Isoelectronic Sequences -- 4.4 Asymptotic Polarizabilities and Dispersion Coefficients -- 5. Asymptotically Correct Thomas-Fermi Model Density -- 5.1 Thomas-Fermi Model -- 5.2 Solution for the Thomas-Fermi Density -- 5.3 Asymptotic Density -- 5.4 Modified Density -- 5.5 Applications -- 6. Molecules and Molecular Ions with One and Two Electrons -- 6.1 Wave Functions for One-Electron Molecular Ions -- 6.2 Energies for One-Electron Molecular Ions -- 6.3 Wave Function for H2 and He2++ -- 6.4 Results for the Ground State -- 7. Interaction of an Electron with Ions, Atoms, and Molecules -- 7.1 Atomic Rydberg States -- 7.2 Electron-Atom and Electron-Molecule Scattering at High Energies -- 8. Exchange Energy of Diatomic Systems -- 8.1 Exchange Energy of Dimer Ions -- 8.2 Exchange Energy of Diatomic Molecules -- 9. Inter-atomic and Inter-ionic Potentials -- 9.1 Exchange Energy and Exchange Integral in the Heitler-London Theory -- 9.2 Generalized Heitler-London Theory -- 9.3 Inter-atomic and Inter-ionic Potentials -- 10. Proton and Neutron Densities in Nuclei -- 10.1 Semi-phenomenological Density -- 10.2 Determination of the Parameters -- 10.3 Results -- References
Dimensions
unknown
Edition
1st ed. 2000.
Extent
1 online resource (XI, 174 p.)
File format
multiple file formats
Form of item
online
Isbn
9783642573170
Level of compression
uncompressed
Media category
computer
Media type code
  • c
Other control number
10.1007/978-3-642-57317-0
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)3400000000104208
  • (SSID)ssj0001240288
  • (PQKBManifestationID)11683335
  • (PQKBTitleCode)TC0001240288
  • (PQKBWorkID)11207418
  • (PQKB)10382338
  • (DE-He213)978-3-642-57317-0
  • (MiAaPQ)EBC3090352
  • (EXLCZ)993400000000104208

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