In this paper we present a linear variational calcularion of the lower lying states of rhe electron-hole system confined in three-dimensional quantum wells with spherical shape.Because the total argular momentum

L

=-ir

1

×▽

1

-ir

2

×▽

2

of rhe electron hole system in the sphere commutes with the Harmitonian

we choose the eigenfunction of

L

2

and

L

2

as the basis funcrion

which is given by Eq. (5). In (5)

|

n

1

l

1

m

1

〉 and |

n

2

l

2

m

2

〉 are the eigenfuctions of argular-momentums of the electron and the hole respectively

which are given by Eq. (6) and Eq. (7). The matrix elements of rhe Harmiltonian (2) in this base are calculated with the formula (10) and (11). The matrix of H is divide into submatrixes. The basis funcrions with the same L and ML are atribured to the same submatrix.