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Canonical quantization for fractional schrodinger lagrangian density in caputo definition
Author
Source
Issue
Vol. 6, Issue 2 (31 Dec. 2013), pp.55-63, 9 p.
Publisher
Yarmouk University Deanship of Research and Graduate Studies
Publication Date
2013-12-31
Country of Publication
Jordan
No. of Pages
9
Main Subjects
Topics
Abstract EN
The fractional form of the Schrödinger Lagrangian density is presented using the Caputo's fractional derivative.
Agrawal procedure is employed to obtain time dependent and time independent Schrödinger equations in Caputo's fractional form.
The Hamiltonian density resulting from the Schrödinger Lagrangian density is obtained in fractional form.
Then, we used Dirac algebraic method to quantize the Schrödinger Lagrangian density by determining the fractional creation and annihilation operators and constructing the fractional Canonical Commutation Relations (CCRs).
American Psychological Association (APA)
Jaradat, Imad Khalid Yusuf. 2013. Canonical quantization for fractional schrodinger lagrangian density in caputo definition. Jordan Journal of Physics،Vol. 6, no. 2, pp.55-63.
https://search.emarefa.net/detail/BIM-349634
Modern Language Association (MLA)
Jaradat, Imad Khalid Yusuf. Canonical quantization for fractional schrodinger lagrangian density in caputo definition. Jordan Journal of Physics Vol. 6, no. 2 (2013), pp.55-63.
https://search.emarefa.net/detail/BIM-349634
American Medical Association (AMA)
Jaradat, Imad Khalid Yusuf. Canonical quantization for fractional schrodinger lagrangian density in caputo definition. Jordan Journal of Physics. 2013. Vol. 6, no. 2, pp.55-63.
https://search.emarefa.net/detail/BIM-349634
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 62-63
Record ID
BIM-349634