Exact Quantum Solutions for Time-Dependent Charged Oscillator

• Choi Jeong Ryeol

  School of Electrical Engineering and Computer Science, Kyungpook National University

• Yeon Kyu Hwang

  BK21 Physics Program and Department of Physics, College of Natural Science, Chungbuk National University

• Maamache Mustapha

  Laboratoire de Physique Quantique et Systèmes Dynamiques, Département de Physique, Faculté des Sciences, Université Ferhat Abbas de Sétif

• Menouar Salah

  Laboratoire de Physique Quantique et Systèmes Dynamiques, Département de Physique, Faculté des Sciences, Université Ferhat Abbas de Sétif

抄録

The quantum states for a time-dependent charged oscillator are investigated by an invariant operator method and a unitary transformation approach. The wave functions are derived precisely in both cases of discrete and continuous quantum spectra. By choosing time functions of the Hamiltonian in different forms, our theory can be applied to diverse types of quantum dynamical systems. In the limit of a simple case, we confirmed that our result associated with a discrete spectrum recovers to that of Storchak.

収録刊行物

• Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｐｈｙｓｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ

  Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｐｈｙｓｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ 78 (5), 054001-054001, 2009

  一般社団法人 日本物理学会

キーワード

• charged oscillator
• invariant operator
• unitary transformation
• wave function

詳細情報

• CRID: 1390282679173305984
• NII論文ID: 130005437460
• NII論文ID: 10025960171
• NII論文ID: 210000107793
• NII書誌ID: AA00704814
• DOI: 10.1143/jpsj.78.054001
• ISSN: 13474073
• ISSN: 00319015
• NDL書誌ID: 10225100
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I10225100
• Web Site: https://journals.jps.jp/doi/pdf/10.1143/JPSJ.78.054001
• 本文言語コード: en
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