Simple wavefunction for an impurity in a parabolic quantum dot |
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| Institution: | 1. Neurobiology Institute, Jining Medical University, Jining 272067, PR China;2. Division of Metabolic and Vascular Health, Warwick Medical School, University of Warwick, Coventry, UK;1. Department of Physics, Tripura University, Suryamaninagar, 799022, Tripura, India;2. Department of Physics, Government Degree College, Kamalpur, 799285, Tripura, India;3. Department of Physics, Women''s College, Agartala, 799001, Tripura, India;1. Department of Chemistry and Chemical Engineering, Taiyuan University of Technology, Taiyuan, 030024, China;2. Pharmaceutical Department, Changzhi Medical College, Changzhi, 046000, China;3. Department of Traditional Chinese Medicine, Heping Hospital Affiliated to Changzhi Medical College, Changzhi, 046000, China;4. Changzhi Entry-Exit Inspection and Quarantine Bureau, Changzhi, 046000, China;1. Institute of Applied Physics, Justus-Liebig-University Giessen, Giessen, Germany;2. Institute for Physical Chemistry, Justus-Liebig-University Giessen, Giessen, Germany;3. 1st Physics Institute, Justus-Liebig-University Giessen, Giessen, Germany;4. Institute for Theoretical Physics, Freie Universität Berlin, Berlin, Germany;5. Department of Chemistry, University of Paderborn, Paderborn, Germany;1. Portland Centre for Integrative Medicine, Rodney House, 2 Portland Street, BS8 4AL, UK;2. School of Health and Related Research, The University of Sheffield, Regent Court, 30 Regent Street, Sheffield, S1 4DA, UK;3. University Hospitals Bristol NHS Foundation Trust, Marlborough Street, Bristol, BS1 3NU, UK |
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| Abstract: | A simple variational wavefunction is proposed for calculating the ground-state energy of a hydrogenic donor located at the centre of a spherical parabolic quantum dot. Binding energies are calculated for three values of the parameter which gives the strength of the confining parabolic potential by the proposed wavefunction as well as by a wavefunction used by Xiaoet al. Superlattices and Microstructures,19, 137 (1996)]. The results are compared to the ‘exact’ energies obtained by numerical integration of the Schrodinger equation. It is shown that the proposed wavefunction gives considerably better results than the wavefunction used by Xiaoet al. in all cases. |
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