Refer to the following one-dimensional quantum potential structure. This is an extension of the problem in...

 

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Refer to the following one-dimensional quantum potential structure. This is an extension of the problem in the midterm exam. In region O the potential V = 0; in regions I and III the potential V = 0; in region II the potential V = Vo = 1.0 eV. The width of region I, L₁ = 2.0 nm; the width of region II, AL = L₂ - L₁ = 1.0 nm, or L₂ = 1.5 L₁. There is an electron in region I. V = 00 0 X = 0 I V = Vo X = L₁ || X = L₂ (1) Show Schrodinger equations of the electron inside regions I, II, and III. (2) Find initial solutions of the above equations with 6 unknown constants. (3) Find two out of six constants of the above solutions. (4) Find the next three constants of the solutions in step 2. Refer to the following one-dimensional quantum potential structure. This is an extension of the problem in the midterm exam. In region O the potential V = 0; in regions I and III the potential V = 0; in region II the potential V = Vo = 1.0 eV. The width of region I, L₁ = 2.0 nm; the width of region II, AL = L₂ - L₁ = 1.0 nm, or L₂ = 1.5 L₁. There is an electron in region I. V = 00 0 X = 0 I V = Vo X = L₁ || X = L₂ (1) Show Schrodinger equations of the electron inside regions I, II, and III. (2) Find initial solutions of the above equations with 6 unknown constants. (3) Find two out of six constants of the above solutions. (4) Find the next three constants of the solutions in step 2.

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1 Schrodinger Equations of the Electron Inside Regions I II and III Region I in region I the potential V 0 so the Schrodinger equation is given by h22... View the full answer