The Wave Function and the Minimum Uncertainty Function of the Time Dependent Harmonic Oscillator(New Developments in Statistical Physics Similarities in Diversities,YITP Workshop)

スポンサーリンク

概要

• 論文の詳細を見る

• この論文は国立情報学研究所の電子図書館事業により電子化されました。The time dependent harmonic oscillator is solved explicitly for quantum mechanics by the operator method with an auxiliary condition as the classical solution. Two classical invariant quantities which determine whether or not the system is bound are derived by the classical equation of motion. We obtain the invariant operator from one classical invariant quantity. Its eigenfunction is related to the solution of Schrodinger equation of the system and its eigenvalue is related to another classical quantity. The wave function is evaluated exactly by the eigenfunction of the invariant operator but it is not the eigenfunction of the Hamiltonian of the system. The uncertainty which calculates with the wave function is not a minimum one. We will confirm that the function which holds minimum uncertainty is a eigenfunction of the Hamiltonian.

• 物性研究刊行会の論文
• 1993-07-20

著者

• Yeon Kyu

  Department Of Physics Cbungbuk National University

• Um Chung

  Department of Physics, College of Science, Korea University

• George T.

  Department of Chemistry and Physics, Washington State University

• Um Chung

  Department Of Physics College Of Science Korea University

• George T.

  Department Of Chemistry And Physics Washington State University

• George T.F.

  Department of Chemistry and Physics, Washington State University

関連論文

• The Wave Function and the Minimum Uncertainty Function of the Time Dependent Harmonic Oscillator(New Developments in Statistical Physics Similarities in Diversities,YITP Workshop)
• Thermal conductivity coefficient via temperature-dependent elementary excitation spectra in thin liquid ^4He(New Developments in Statistical Physics Similarities in Diversities,YITP Workshop)

スポンサーリンク