1. The solution of Schrodinger's equation for a particle in a potential well of infinite depth...

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1. The solution of Schrodinger's equation for a particle in a potential well of infinite depth provides us the allowed wavefunctions and their corresponding energies. The following equation gives is the allowed energy values. En = n (m), with n = 1,2,3, ... In the above equation m is the mass of the particle and L the width of the well. (a) An electron (m 10-30 kg) trapped in an infinite well is at the ground state with an energy of 6.11 x 10-217. Calculate the width L of the well. (b) Draw the wave function corresponding to the second excited energy level and calculate the corresponding wavelength. (c) Calculate the photon wavelength that is needed in order to excite an electron from the ground state to the 2nd excited state. 1. The solution of Schrodinger's equation for a particle in a potential well of infinite depth provides us the allowed wavefunctions and their corresponding energies. The following equation gives is the allowed energy values. En = n (m), with n = 1,2,3, ... In the above equation m is the mass of the particle and L the width of the well. (a) An electron (m 10-30 kg) trapped in an infinite well is at the ground state with an energy of 6.11 x 10-217. Calculate the width L of the well. (b) Draw the wave function corresponding to the second excited energy level and calculate the corresponding wavelength. (c) Calculate the photon wavelength that is needed in order to excite an electron from the ground state to the 2nd excited state.

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The image contains a quantum mechanics problem regarding a particle in a potential well of infinite depth This problem is framed using the principles of quantum mechanics and the Schrdinger equation T... View the full answer