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ANALYTIC SOLUTION TO THE SCHRDINGER EQUATION WITH A HARMONIC OSCILLATOR POTENTIAL PLUS δ-POTENTIAL

ANALYTIC SOLUTION TO THE SCHRDINGER EQUATION WITH A HARMONIC OSCILLATOR POTENTIAL PLUS δ-POTENTIAL
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摘要 The analytic solution to the Schrodinger equation with a harmonic oscillator potentialplus δ-potential is presented in the coordinate representation. Its algebraic expression in theenergy representation is also given. The degeneracy of the energy levels is discussed and acomparison between the energy spectra of a harmonic oscillator and a particle in a δ-poten-tial is made. The analytic solution to the Schrodinger equation with a harmonic oscillator potentialplus δ-potential is presented in the coordinate representation. Its algebraic expression in theenergy representation is also given. The degeneracy of the energy levels is discussed and acomparison between the energy spectra of a harmonic oscillator and a particle in a δ-poten-tial is made.
机构地区 Department of Physics
出处 《Science China Mathematics》 SCIE 1991年第10期1215-1221,共7页 中国科学:数学(英文版)
关键词 HARMONIC OSCILLATOR POTENTIAL δ-potetial Schrodioger equation ANALYTIC solution. harmonic oscillator potential δ-potetial Schrodioger equation analytic solution.
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参考文献3

  • 1曾谨言.量子力学[M]科学出版社,1990. 被引量:1
  • 2曾谨言,钱伯初著..量子力学专题分析 上[M].北京:高等教育出版社,1990:257.
  • 3王竹溪,郭敦仁.特殊函数概论[M]科学出版社,1965. 被引量:1

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