Šredingerova jednačina — разлика између измена

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U kvantnoj mehanici, po analogiji sa Njutnovim zakonima je Šredingerova jednačina za kvantni sistem (obično atome, molekule, i subatomske čestice bilo slobodne, vezane, ili lokalizovane). Ona nije jednostavna algebarska jednačina, nego (opšta) [[linearna diferencijalna jednačina|linearna]] parcijalna diferencijalna jednačina. Diferencijalna jednačina opisuje [[talasna funkcija|talasnu funkciju]] sistema, koja se takođe naziva kvantno stanje ili vektor stanja.
 
U [[Kopenhagenska interpretacija|standardnoj interpretaciji kvantne mehanike]], talasna funkcija je najkompletniji opis fizičkog sistema. Rešenja Šrodingerove jednačine opisuju ne samo [[molekul]]ske, [[atom]]ske, i [[Субатомске честице|subatomske]] sisteme, nego i makroskopske sisteme, možda čak i ceo [[svemir]].<ref name = sch>{{Cite journal|last=Schrödinger| first = E.
|last=Schrödinger| first = E.
| title = An Undulatory Theory of the Mechanics of Atoms and Molecules
| url = http://home.tiscali.nl/physis/HistoricPaper/Schroedinger/Schroedinger1926c.pdf
 
=== Vremenski zavisna jednačina ===
Forma Šredingerove jednačine zavisi od fizičke situacije. Najopštija forma je vremenski zavisna Šredingerova jednačina, koja opisuje promene sistema u funkciji vremena:<ref>{{Cite book|last=Shankar|first=R.
|last=Shankar|first=R.
|year=1994
|title=Principles of Quantum Mechanics|pages=143
|pages=143
|edition=2nd
|publisher=Kluwer Academic/Plenum Publishers|isbn=978-0-306-44790-7
|isbn=978-0-306-44790-7
}}</ref>
 
== Literatura ==
{{refbegin|2}}
* {{Cite book |ref= harv|last=Shankar|first=R.|year=1994|title=Principles of Quantum Mechanics|edition=2nd|publisher=Kluwer Academic/Plenum Publishers |isbn=978-0-306-44790-7|ref=harv|pages=143-}}
* {{Cite book |ref= harv|author= P. A. M. Dirac |author-link=Paul Dirac |title= Principles of Quantum Mechanics | edition = 4th | publisher= Oxford University Press |year=1958}}
* {{Cite book |ref= harv|author=Müller-Kirsten, H. J. W. | title=Introduction to Quantum Mechanics: Schrödinger Equation and Path Integral | edition=2nd | publisher=World Scientific |year=2012|isbn=978-981-4397-74-2}}
* {{Cite book |ref= harv|last= Griffiths|first=David J.| title = Introduction to Quantum Mechanics | edition = 2nd |year=2004| publisher = Benjamin Cummings | isbn id=ISBN 0-13-124405-1}}
* {{Cite book |ref= harv|last=Liboff|first=Richard| title = Introductory Quantum Mechanics | edition = 4th |year=2002| publisher = Addison Wesley |isbn=978-0-8053-8714-8}}
* {{Cite book |ref= harv|last=Halliday|first=David| title = Fundamentals of Physics | edition = 8th |year=2007| publisher = Wiley |isbn=978-0-471-15950-6}}
* {{Cite book |ref= harv|author=Serway, Moses, and Moyer | title = Modern Physics | edition = 3rd |year=2004| publisher = Brooks Cole |isbn=978-0-534-49340-0}}
* {{Cite book |ref= harv|title = Schrödinger: Life and Thought |author=Walter John Moore | publisher = Cambridge University Press |year=1992|isbn=978-0-521-43767-7}}
* {{cite journal |last=Schrödinger|first=Erwin|year=1926| title = An Undulatory Theory of the Mechanics of Atoms and Molecules | journal = Phys. Rev. 28 (6) | doi = 10.1103/PhysRev.28.1049 | volume = 28 |bibcode = 1926PhRv...28.1049S | issue = 6|pages=1049-1070}}
* {{Cite book |ref= harv|last=Teschl| given = Gerald| title=Mathematical Methods in Quantum Mechanics; With Applications to Schrödinger Operators| publisher=American Mathematical Society| place = [[Провиденс|Providence]]|year=2009|url=http://www.mat.univie.ac.at/~gerald/ftp/book-schroe/ |isbn=978-0-8218-4660-5}}
{{refend}}
 
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