Ais an[img=44x19]1803b6a4c8dddc0.png[/img]matrix. A is not invertible if and only if 0 is an eigenvalue of A.
Ais an[img=44x19]1803b6a4c8dddc0.png[/img]matrix. A is not invertible if and only if 0 is an eigenvalue of A.
Ais an[img=44x19]1803b6a4d11437c.png[/img]matrix. Number c is an eigenvalue of A if and only if (A-cI)x=0 has nontrial solutions.
Ais an[img=44x19]1803b6a4d11437c.png[/img]matrix. Number c is an eigenvalue of A if and only if (A-cI)x=0 has nontrial solutions.
The eigenvalue problem for the Schrödinger equation [img=324x61]18034571f1a03d4.png[/img] has solution for all [img=36x20]18034571fa6baec.png[/img].
The eigenvalue problem for the Schrödinger equation [img=324x61]18034571f1a03d4.png[/img] has solution for all [img=36x20]18034571fa6baec.png[/img].
【简答题】已知矩阵 , (1) 求矩阵 A 的秩 (rank); (2) 求矩阵 A 的行列式 (determinant); (3) 求矩阵 A 的逆 (inverse); (4) 求矩阵 A 的特征值及特征向量 (eigenvalue and eigenvector)
【简答题】已知矩阵 , (1) 求矩阵 A 的秩 (rank); (2) 求矩阵 A 的行列式 (determinant); (3) 求矩阵 A 的逆 (inverse); (4) 求矩阵 A 的特征值及特征向量 (eigenvalue and eigenvector)
Which of the following statement about Time-independent Schrödinger equation is not true? A: It is satisfied by a wave function that is an eigenfunction of the Hamiltonian of the system. B: Any solution of this equation corresponds to a physically acceptable state of the system. C: An eigenvalue may correspond to several linearly independent eigenfunctions. D: Energy levels represent eigenvalues of this equation.
Which of the following statement about Time-independent Schrödinger equation is not true? A: It is satisfied by a wave function that is an eigenfunction of the Hamiltonian of the system. B: Any solution of this equation corresponds to a physically acceptable state of the system. C: An eigenvalue may correspond to several linearly independent eigenfunctions. D: Energy levels represent eigenvalues of this equation.
Which of the following statement is True? A: [img=20x18]1803bd52d74f76c.png[/img] is an eigenvalue of the position operator [img=11x19]1803bd52df60698.png[/img] . B: [img=70x25]1803bd52e788f4d.png[/img] is an eigenfunction of the position operator [img=16x19]1803bd52ef5ee5a.png[/img] C: The position operator [img=11x19]1803bd52f76293f.png[/img] is a linear operator. D: The operator [img=28x18]1803bd5300119fc.png[/img] is a linear operator.
Which of the following statement is True? A: [img=20x18]1803bd52d74f76c.png[/img] is an eigenvalue of the position operator [img=11x19]1803bd52df60698.png[/img] . B: [img=70x25]1803bd52e788f4d.png[/img] is an eigenfunction of the position operator [img=16x19]1803bd52ef5ee5a.png[/img] C: The position operator [img=11x19]1803bd52f76293f.png[/img] is a linear operator. D: The operator [img=28x18]1803bd5300119fc.png[/img] is a linear operator.