Coverart for item
The Resource Asymptotic solutions of the one-dimensional Schrödinger equation, S. Yu. Slavyanov ; [translated by Vadim Khidekel]

Asymptotic solutions of the one-dimensional Schrödinger equation, S. Yu. Slavyanov ; [translated by Vadim Khidekel]

Label
Asymptotic solutions of the one-dimensional Schrödinger equation
Title
Asymptotic solutions of the one-dimensional Schrödinger equation
Statement of responsibility
S. Yu. Slavyanov ; [translated by Vadim Khidekel]
Creator
Subject
Language
  • eng
  • rus
  • eng
Member of
Cataloging source
DLC
http://library.link/vocab/creatorName
Slavi︠a︡nov, S. I︠U︡.
Dewey number
515/.352
Illustrations
illustrations
Index
no index present
LC call number
  • QC174.26.W28
  • QA3
LC item number
  • S5313 1996
  • .T7 v.151
Literary form
non fiction
Nature of contents
bibliography
Series statement
Translations of mathematical monographs,
Series volume
volume 151
http://library.link/vocab/subjectName
  • Schrödinger equation
  • Differential equations
  • Differential equations
  • Schrödinger equation
  • Equations différentielles
  • Schrödinger, équation de
Label
Asymptotic solutions of the one-dimensional Schrödinger equation, S. Yu. Slavyanov ; [translated by Vadim Khidekel]
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 185-190)
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Ch. I. Comparison Functions. I.1. Basic concepts of asymptotic methods. I.2. The Airy functions and their asymptotics. I.3. Parabolic cylinder functions and their asymptotics. I.4. The Bessel functions and their asymptotics. I.5. Confluent hypergeometric function and its asymptotics -- Ch. II. Derivation of Asymptotics. II. 1. General theory. II. 2. Asymptotic solutions on the complex plane. II. 3. Method of comparison equations for equations with one transition point. II. 4. Method of comparison equations for equations with two transition points. II. 5. Method of comparison equations for equations with close transition points -- Ch. III. Physical Problems. III. 1. The WKB method for bound states in quantum mechanics. III. 2. Normal modes in ocean waveguide. III. 3. Exponential spectrum splitting. III. 4. Quasistationary states. III. 5. One-dimensional scattering problem. III. 6. Band spectrum -- Ch. IV. Supplements. IV. 1. Numerical realization of asymptotic methods
Control code
34548688
Dimensions
27 cm.
Extent
xvi, 190 pages
Isbn
9780821805367
Lccn
96014129
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
(OCoLC)34548688
Label
Asymptotic solutions of the one-dimensional Schrödinger equation, S. Yu. Slavyanov ; [translated by Vadim Khidekel]
Publication
Bibliography note
Includes bibliographical references (pages 185-190)
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Ch. I. Comparison Functions. I.1. Basic concepts of asymptotic methods. I.2. The Airy functions and their asymptotics. I.3. Parabolic cylinder functions and their asymptotics. I.4. The Bessel functions and their asymptotics. I.5. Confluent hypergeometric function and its asymptotics -- Ch. II. Derivation of Asymptotics. II. 1. General theory. II. 2. Asymptotic solutions on the complex plane. II. 3. Method of comparison equations for equations with one transition point. II. 4. Method of comparison equations for equations with two transition points. II. 5. Method of comparison equations for equations with close transition points -- Ch. III. Physical Problems. III. 1. The WKB method for bound states in quantum mechanics. III. 2. Normal modes in ocean waveguide. III. 3. Exponential spectrum splitting. III. 4. Quasistationary states. III. 5. One-dimensional scattering problem. III. 6. Band spectrum -- Ch. IV. Supplements. IV. 1. Numerical realization of asymptotic methods
Control code
34548688
Dimensions
27 cm.
Extent
xvi, 190 pages
Isbn
9780821805367
Lccn
96014129
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
(OCoLC)34548688

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