Question 6: A quantum particle of mass m is inside a one dimensional box of length...
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Question 6: A quantum particle of mass m is inside a one dimensional box of length L. Suppose that L is so small is not valid anymore 2m that the energy of the quantum particle has to be treated relativistically so that : E = (neither is the Schrdinger equation which is non-relativistic), but instead we have to use the relativistic expression given by : E = 9c + mc p Where c is the speed of light. It turns out that the wave function y(x) is still sinusoidal. Find the energy levels of the quantum particle. 24 2 Question 6: A quantum particle of mass m is inside a one dimensional box of length L. Suppose that L is so small is not valid anymore 2m that the energy of the quantum particle has to be treated relativistically so that : E = (neither is the Schrdinger equation which is non-relativistic), but instead we have to use the relativistic expression given by : E = 9c + mc p Where c is the speed of light. It turns out that the wave function y(x) is still sinusoidal. Find the energy levels of the quantum particle. 24 2
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