skip to content
Geometric quantization and quantum mechanics Preview this item
ClosePreview this item
Checking...

Geometric quantization and quantum mechanics

Author: Jędrzej Śniatycki
Publisher: New York : Springer-Verlag, ©1980.
Series: Applied mathematical sciences (Springer-Verlag New York Inc.), v. 30.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

The aim of the seminars was to present geometric quantization from the point of view* of its applica- tions to quantum mechanics, and to introduce the quantum dynamics of various physical systems as  Read more...

Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

 

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Jędrzej Śniatycki
ISBN: 0387904697 9780387904696 3540904697 9783540904694
OCLC Number: 5749456
Description: ix, 230 pages ; 24 cm.
Contents: 1. Introduction.- 1.1 Background.- 1.2 Hamiltonian dynamics.- 1.3 Prequantization.- 1.4 Representation space.- 1.5 Blattner-Kostant-Sternberg kernels.- 1.6 Quantization.- 1.7 Schrodinger representation.- 1.8 Other representations.- 1.9 Time-dependent Schrodinger equation.- 1.10 Relativistic dynamics in an electromagnetic field.- 1.11 Pauli representation.- 2. Hamiltonian Dynamics.- 2.1 Poisson algebra.- 2.2 Local expressions.- 2.3 Relativistic charged particle.- 2.4 Non-relativistic dynamics.- 3. Prequantization.- 3.1 Connections in line bundles.- 3.2 Prequantization line bundle.- 3.3 Prequantization map.- 4. Representation Space.- 4.1 Polarization.- 4.2 The bundle ??F F.- 4.3 Square integrable wave functions.- 4.4 Bohr-Sommerfeld conditions.- 4.5 Distributional wave functions.- 5. Blattner-Kostant-Sternberg Kernels.- 5.1 Transverse polarizations.- 5.2 Strongly admissible pairs of polarizations.- 5.3 Metaplectic structure.- 5.4 Induced metaplectic structure.- 6. Quantization.- 6.1 Lifting the action of ?ft.- 6.2 Polarization preserving functions.- 6.3 Quantization via Blattner-Kostant-Sternberg kernels.- 6.4 Superselection rules.- 7. Schrodinger Representation.- 7.1 Single particle.- 7.2 System of particles.- 7.3 Blattner-Kostant-Sternberg kernels, quasiclassical approximations and Feynman path integrals.- 8. Other Representations.- 8.1 Bargmann-Fock representation.- 8.2 Harmonic oscillator energy representation.- 9. Time-Dependent Schrodinger Equation.- 10. Relativistic Dynamics in An Electromagnetic Field.- 10.1 Relativistic quantum dynamics.- 10.2 Charge superselection rules.- 10.3 Quantization in the Kaluza theory.- 11. Pauli Representation for Spin.- 11.1 Classical model of spin.- 11.2 Representation space.- 11.3 Quantization.- Glossary of Notation.
Series Title: Applied mathematical sciences (Springer-Verlag New York Inc.), v. 30.
Responsibility: Jędrzej Śniatycki.

Reviews

User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.
Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


Primary Entity

<http://www.worldcat.org/oclc/5749456> # Geometric quantization and quantum mechanics
    a schema:Book, schema:CreativeWork ;
    library:oclcnum "5749456" ;
    library:placeOfPublication <http://dbpedia.org/resource/New_York_City> ; # New York
    library:placeOfPublication <http://id.loc.gov/vocabulary/countries/nyu> ;
    schema:about <http://id.worldcat.org/fast/940919> ; # Geometry, Differential
    schema:about <http://experiment.worldcat.org/entity/work/data/458230#Topic/quantentheorie> ; # Quantentheorie
    schema:about <http://experiment.worldcat.org/entity/work/data/458230#Topic/differentiaalmeetkunde> ; # Differentiaalmeetkunde
    schema:about <http://dewey.info/class/510.8/> ;
    schema:about <http://experiment.worldcat.org/entity/work/data/458230#Topic/geometrische_quantisierung> ; # Geometrische Quantisierung
    schema:about <http://experiment.worldcat.org/entity/work/data/458230#Topic/quantenmechanik> ; # Quantenmechanik
    schema:about <http://experiment.worldcat.org/entity/work/data/458230#Topic/geometrie_differentielle> ; # Géométrie différentielle
    schema:about <http://id.worldcat.org/fast/1085128> ; # Quantum theory
    schema:about <http://experiment.worldcat.org/entity/work/data/458230#Topic/differentialgeometrie> ; # Differentialgeometrie
    schema:about <http://experiment.worldcat.org/entity/work/data/458230#Topic/geometrie> ; # Geometrie
    schema:about <http://experiment.worldcat.org/entity/work/data/458230#Topic/theorie_quantique> ; # Théorie quantique
    schema:about <http://experiment.worldcat.org/entity/work/data/458230#Topic/kwantummechanica> ; # Kwantummechanica
    schema:bookFormat bgn:PrintBook ;
    schema:copyrightYear "1980" ;
    schema:creator <http://experiment.worldcat.org/entity/work/data/458230#Person/sniatycki_jedrzej> ; # Jędrzej Śniatycki
    schema:datePublished "1980" ;
    schema:exampleOfWork <http://worldcat.org/entity/work/id/458230> ;
    schema:inLanguage "en" ;
    schema:isPartOf <http://experiment.worldcat.org/entity/work/data/458230#Series/applied_mathematical_sciences_springer_verlag_new_york_inc> ; # Applied mathematical sciences (Springer-Verlag New York Inc.) ;
    schema:isPartOf <http://experiment.worldcat.org/entity/work/data/458230#Series/applied_mathematical_sciences> ; # Applied mathematical sciences ;
    schema:name "Geometric quantization and quantum mechanics"@en ;
    schema:productID "5749456" ;
    schema:publication <http://www.worldcat.org/title/-/oclc/5749456#PublicationEvent/new_york_springer_verlag_1980> ;
    schema:publisher <http://experiment.worldcat.org/entity/work/data/458230#Agent/springer_verlag> ; # Springer-Verlag
    schema:url <http://www.gbv.de/dms/hbz/toc/ht000931706.pdf> ;
    schema:url <http://digitool.hbz-nrw.de:1801/webclient/DeliveryManager?pid=2362722&custom_att_2=simple_viewer> ;
    schema:url <http://digitool.hbz-nrw.de:1801/webclient/DeliveryManager?pid=2362722&custom%5Fatt%5F2=simple%5Fviewer> ;
    schema:workExample <http://worldcat.org/isbn/9780387904696> ;
    schema:workExample <http://worldcat.org/isbn/9783540904694> ;
    umbel:isLike <http://d-nb.info/800296109> ;
    wdrs:describedby <http://www.worldcat.org/title/-/oclc/5749456> ;
    .


Related Entities

<http://dbpedia.org/resource/New_York_City> # New York
    a schema:Place ;
    schema:name "New York" ;
    .

<http://experiment.worldcat.org/entity/work/data/458230#Agent/springer_verlag> # Springer-Verlag
    a bgn:Agent ;
    schema:name "Springer-Verlag" ;
    .

<http://experiment.worldcat.org/entity/work/data/458230#Person/sniatycki_jedrzej> # Jędrzej Śniatycki
    a schema:Person ;
    schema:familyName "Śniatycki" ;
    schema:givenName "Jędrzej" ;
    schema:name "Jędrzej Śniatycki" ;
    .

<http://experiment.worldcat.org/entity/work/data/458230#Series/applied_mathematical_sciences> # Applied mathematical sciences ;
    a bgn:PublicationSeries ;
    schema:hasPart <http://www.worldcat.org/oclc/5749456> ; # Geometric quantization and quantum mechanics
    schema:name "Applied mathematical sciences ;" ;
    .

<http://experiment.worldcat.org/entity/work/data/458230#Series/applied_mathematical_sciences_springer_verlag_new_york_inc> # Applied mathematical sciences (Springer-Verlag New York Inc.) ;
    a bgn:PublicationSeries ;
    schema:hasPart <http://www.worldcat.org/oclc/5749456> ; # Geometric quantization and quantum mechanics
    schema:name "Applied mathematical sciences (Springer-Verlag New York Inc.) ;" ;
    .

<http://experiment.worldcat.org/entity/work/data/458230#Topic/differentiaalmeetkunde> # Differentiaalmeetkunde
    a schema:Intangible ;
    schema:name "Differentiaalmeetkunde"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/458230#Topic/differentialgeometrie> # Differentialgeometrie
    a schema:Intangible ;
    schema:name "Differentialgeometrie"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/458230#Topic/geometrie_differentielle> # Géométrie différentielle
    a schema:Intangible ;
    schema:name "Géométrie différentielle"@en ;
    schema:name "Géométrie différentielle"@fr ;
    .

<http://experiment.worldcat.org/entity/work/data/458230#Topic/geometrische_quantisierung> # Geometrische Quantisierung
    a schema:Intangible ;
    schema:name "Geometrische Quantisierung"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/458230#Topic/kwantummechanica> # Kwantummechanica
    a schema:Intangible ;
    schema:name "Kwantummechanica"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/458230#Topic/quantenmechanik> # Quantenmechanik
    a schema:Intangible ;
    schema:name "Quantenmechanik"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/458230#Topic/theorie_quantique> # Théorie quantique
    a schema:Intangible ;
    schema:name "Théorie quantique"@en ;
    schema:name "Théorie quantique"@fr ;
    .

<http://id.worldcat.org/fast/1085128> # Quantum theory
    a schema:Intangible ;
    schema:name "Quantum theory"@en ;
    .

<http://id.worldcat.org/fast/940919> # Geometry, Differential
    a schema:Intangible ;
    schema:name "Geometry, Differential"@en ;
    .

<http://worldcat.org/isbn/9780387904696>
    a schema:ProductModel ;
    schema:isbn "0387904697" ;
    schema:isbn "9780387904696" ;
    .

<http://worldcat.org/isbn/9783540904694>
    a schema:ProductModel ;
    schema:isbn "3540904697" ;
    schema:isbn "9783540904694" ;
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.