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研究所、轉學考(插大)-近代物理學
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110年 - 110台灣聯合大學系統_碩士班招生考試_物理類:近代物理#104513
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2. Explain the following subjects: (a) cosmic microwave background; (b) superconductors; (c) topological insulators; (d) gravitational wave. (5% each)
其他申論題
(b) The energy of electron orbitals in an unperturbed hydrogen-like atom is determined by the quantum number n or I?
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(c) In quantum mechanics, can position and momentum of a particle be simultaneously determined? Yes or no?
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(d) "The Hamiltonian H acting on the wave function which represents a real physics system lead to, where E is the energy of this system." Is this statement true or false?
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(e) What is the eigenenergy of a simple harmonic oscillator? (5% cach)
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(a) Write down the wave function (x.t). (10%)
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(b) You measure the energy of the particle at 1-=O. Write the possible values of the energy and the probability of measuring each. (10%)
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(c) Calculate the expectation value of the energy in the state Y(xr,r) above. (5%)
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(a) Can the free particle wave function be normalized in a box with size L?(10%)
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(b) When L is large, show that you can construct the (nearly) orthonormal eigenstates of the free particle from (10%)
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5. In a metal, the group velocity of a conducting carrier is is the dispersion relation or the band structure of the carrier. (Consider a simplified one dimensional case.) Show thatby a semi-classical approach, where F is the experienced force on the carrier. (10%)
#442603
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