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A three-state system has energy eigenfunctions 1 (x), 2(x) and p3 (x) with corresponding energy eigenvalues -ħa, 0, ħo respectively. The system is in the initial state of wavefunction y(x, 0) = c1 01 (x) + c2$2(x) + 2c, p3 (x) %3D Here c1, c2 are positive real constants It is found that the expectation value of the Hamiltonian in this state is equal to ħa. The constant c, is then equal to Select one: O a. V6 Ob. O C. d.

A three-state system has energy eigenfunctions 1 (x), 2(x) and p3 (x) with corresponding energy eigenvalues -ħa, 0, ħo respectively. The system is in the initial state of wavefunction y(x, 0) = c1 01 (x) + c2$2(x) + 2c, p3 (x) %3D Here c1, c2 are positive real constants It is found that the expectation value of the Hamiltonian in this state is equal to ħa. The constant c, is then equal to Select one: O a. V6 Ob. O C. d.

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A three-state system has energy eigenfunctions 1 (x), Þ2(x) and Þ3(x) with corresponding energy eigenvalues -ħw, 0, ħa respectively. The system is in the initial state of wavefunction y(x, 0) = c141 (x)+ c2 ¢2(x) + 2c¡ Þ3 (x) Here c1, c2 are positive real constants It is found that the expectation value of the Hamiltonian in this state is equal to ħo. The constant c¡ is then equal to Select one: 1 а. Ob. С. 3 1 d. 3 е.
Transcribed Image Text:A three-state system has energy eigenfunctions 1 (x), Þ2(x) and Þ3(x) with corresponding energy eigenvalues -ħw, 0, ħa respectively. The system is in the initial state of wavefunction y(x, 0) = c141 (x)+ c2 ¢2(x) + 2c¡ Þ3 (x) Here c1, c2 are positive real constants It is found that the expectation value of the Hamiltonian in this state is equal to ħo. The constant c¡ is then equal to Select one: 1 а. Ob. С. 3 1 d. 3 е.
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