We study the two-dimensional harmonic oscillator in commutative and noncommutative space within the framework of minimal length quantum mechanics for spin-1/2 particles.The energy spectra and the eigenfunction are obtained in both cases.Special cases are also deduced.
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Univ Roma La Sapienza, Dipartimento Fis, I-00185 Rome, Italy
Univ Roma Tor Vergata, Dipartimento Matemat, I-00133 Rome, Italy
Univ Roma Tor Vergata, CMTP, I-00133 Rome, ItalyUniv Roma La Sapienza, Dipartimento Fis, I-00185 Rome, Italy
Martinetti, Pierre
Mercati, Flavio
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Univ Roma La Sapienza, Dipartimento Fis, I-00185 Rome, Italy
Univ Zaragoza, Dept Fis Teor, Zaragoza 50009, SpainUniv Roma La Sapienza, Dipartimento Fis, I-00185 Rome, Italy
Mercati, Flavio
Tomassini, Luca
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Univ Chieti Pescara G Annunzio, Dipartimento Sci, I-65127 Chieti, ItalyUniv Roma La Sapienza, Dipartimento Fis, I-00185 Rome, Italy
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S China Univ Technol, Dept Math, Guangzhou 510641, Guangdong, Peoples R ChinaS China Univ Technol, Dept Math, Guangzhou 510641, Guangdong, Peoples R China
Lin Bing-Sheng
Heng Tai-Hua
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Anhui Univ, Sch Phys & Mat Sci, Hefei 230039, Peoples R ChinaS China Univ Technol, Dept Math, Guangzhou 510641, Guangdong, Peoples R China
Heng Tai-Hua
Chen Wei
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S China Univ Technol, Dept Math, Guangzhou 510641, Guangdong, Peoples R ChinaS China Univ Technol, Dept Math, Guangzhou 510641, Guangdong, Peoples R China
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Abdus Salam International Centre for Theoretical Physics,34100 Trieste,ItalyAbdus Salam International Centre for Theoretical Physics,34100 Trieste,Italy
A.E.F.Djema
H.Smail
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Département de Physique,Institut d'Hydraulique,Centre Universitaire Mustapha Stambouli,Mascara 29000,AlgeriaAbdus Salam International Centre for Theoretical Physics,34100 Trieste,Italy