6. Please answer question throughly and detailed. For the problem here, we are thinking about a phenomena thatis generally referred to as the degenerate Stark effect. The Hamiltonian for the harmonicoscillator in an electric field is given by:-1 d?H+ Ex(15)2m dx2Using the equations above, calculate the 2x2 Hamiltonian matrix that results from thematrix elements bbelow and includes (m,n)=(0,0),(0,1),(1,0),(1,1):Hmn2m dr2(16)Ho0 - €Ho1H =(17)Ho1H11Using the results for e from equation 1 determine the eigenvalues (energies) of the twoharmonic oscillator states in an electric field.

The Hamiltonian of the problem is given as H=-12md2dx2+12kx2+Exx=h4πmωa+a+H=H0+H'H'=Ex…

is generally referred to as the degenerate Stark effect. The Hamiltonian for the harmonic oscillator in an electric field is given by: -1 d? H = k +a + Ex (15) 2m dx2 2 Using the equations above, calculate the 2x2 Hamiltonian matrix that results from the matriv olomonts bholoy ond includos m n) (00) (0 1) (1.0) (1 1):

is generally referred to as the degenerate Stark effect. The Hamiltonian for the harmonic oscillator in an electric field is given by: -1 d? H = k +a + Ex (15) 2m dx2 2 Using the equations above, calculate the 2x2 Hamiltonian matrix that results from the matriv olomonts bholoy ond includos m n) (00) (0 1) (1.0) (1 1):