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TRQ. 2 Solve completely the following Quantum problem. Need full detailed answer, equations and if possible, theory/ literature.
Consider two electrons in a one-dimensional infinite square length of width L. Assume the two electrons are in the same spin state (x1 = X2). (a) Find the wavefunction and energy of the ground state of this two-electron state. (b) Find the energy and wavefunction of the first excited state, still assuming the electrons are in the same spin state, X, = X2
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Transcribed Image Text:Consider two electrons in a one-dimensional infinite square length of width L. Assume the two electrons are in the same spin state (x1 = X2). (a) Find the wavefunction and energy of the ground state of this two-electron state. (b) Find the energy and wavefunction of the first excited state, still assuming the electrons are in the same spin state, X, = X2
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Electrons are fermions so we use anti-symmetric wavefunction for such system.

Dear student, for theory part you have to follow books.i suggest you some books.

Introduction to Quantum mechanics by David J. Griffiths. Chapter 5 Identical particles.

And 

Quantum Mechanics Concepts and Applications by Nouredine Zettili chapter 8 Identical particles.

 

 

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