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試卷:110年 - 110台灣聯合大學系統_碩士班招生考試_電機類:近代物理#105578 | 科目:研究所、轉學考(插大)-近代物理學

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試卷名稱:110年 - 110台灣聯合大學系統_碩士班招生考試_電機類:近代物理#105578

年份:110年

科目:研究所、轉學考(插大)-近代物理學

6. Consider a particle moving in a 2D square quantum' well, with well width = L and well depth = ∞. Take potential well bottom = 0. Which of the following statements is correct, in regard to state?
(A) The ground state energy is four times as large as that in a 1D quantum well of identical width and depth.
(B) The ground state energy is 1/4 of the first excited state energy.
(C) The ground state wave function is given by the sum F0(x) + F0(y), ((x,y) = particle position), where F0 is the ground state wave function in a 1D quantum well of identical width and depth.
(D) The ground state wave function vanishes at the well center.
(E) The ground state wave function is even with respect to the inversion operation (x,y) → (-x,-y).

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