Algebraic treatments of the problems of the spin-1/2 particles in the one- and two-dimensional geometry: A systematic study

Ramazan Koç; Hayriye Tütüncüler; Mehmet Koca; Eser Olgar

doi:10.1016/j.aop.2005.04.007

Algebraic treatments of the problems of the spin-1/2 particles in the one- and two-dimensional geometry: A systematic study

Ramazan Koç^*, Hayriye Tütüncüler, Mehmet Koca, Eser Olgar

^*Corresponding author for this work

Physics

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

We consider solutions of the 2 × 2 matrix Hamiltonians of the physical systems within the context of the su (2) and su (1, 1) Lie algebras. Our technique is relatively simple when compared with those of others and treats those Hamiltonians which can be treated in a unified framework of the Sp (4, R) algebra. The systematic study presented here reproduces a number of earlier results in a natural way as well as leads to a novel finding. Possible generalizations of the method are also suggested.

Original language	English
Pages (from-to)	333-347
Number of pages	15
Journal	Annals of Physics
Volume	319
Issue number	2
DOIs	https://doi.org/10.1016/j.aop.2005.04.007
Publication status	Published - Oct 2005

Keywords

Algebraic method
Exactly solvable systems
Quantum optical systems
Spin-1/2 physical systems

ASJC Scopus subject areas

General Physics and Astronomy

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10.1016/j.aop.2005.04.007

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title = "Algebraic treatments of the problems of the spin-1/2 particles in the one- and two-dimensional geometry: A systematic study",

abstract = "We consider solutions of the 2 × 2 matrix Hamiltonians of the physical systems within the context of the su (2) and su (1, 1) Lie algebras. Our technique is relatively simple when compared with those of others and treats those Hamiltonians which can be treated in a unified framework of the Sp (4, R) algebra. The systematic study presented here reproduces a number of earlier results in a natural way as well as leads to a novel finding. Possible generalizations of the method are also suggested.",

keywords = "Algebraic method, Exactly solvable systems, Quantum optical systems, Spin-1/2 physical systems",

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AU - Tütüncüler, Hayriye

AU - Koca, Mehmet

AU - Olgar, Eser

PY - 2005/10

Y1 - 2005/10

N2 - We consider solutions of the 2 × 2 matrix Hamiltonians of the physical systems within the context of the su (2) and su (1, 1) Lie algebras. Our technique is relatively simple when compared with those of others and treats those Hamiltonians which can be treated in a unified framework of the Sp (4, R) algebra. The systematic study presented here reproduces a number of earlier results in a natural way as well as leads to a novel finding. Possible generalizations of the method are also suggested.

AB - We consider solutions of the 2 × 2 matrix Hamiltonians of the physical systems within the context of the su (2) and su (1, 1) Lie algebras. Our technique is relatively simple when compared with those of others and treats those Hamiltonians which can be treated in a unified framework of the Sp (4, R) algebra. The systematic study presented here reproduces a number of earlier results in a natural way as well as leads to a novel finding. Possible generalizations of the method are also suggested.

KW - Algebraic method

KW - Exactly solvable systems

KW - Quantum optical systems

KW - Spin-1/2 physical systems

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JO - Annals of Physics

JF - Annals of Physics

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ER -

Algebraic treatments of the problems of the spin-1/2 particles in the one- and two-dimensional geometry: A systematic study

Abstract

Keywords

ASJC Scopus subject areas

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