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.
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.
举一反三
- The Schrödinger equation is （ ） A: a wave equation for Electromagnetic waves. B: a wave equation for photons. C: a differential equation for the time evolution of position. D: the relativistic version of Newton’s second law equation. E: a wave equation for non-relativistic electrons.
- Which of the following statement about time-dependent Schrödinger equation is not true? A: It describes the evolution in time of any quantum state. B: It takes the form: [img=84x44]1803bd52bb68940.png[/img]. C: It allows to calculate the time derivative of a wave function from its spatial-coordinate dependence at a fixed time. D: If [img=15x24]1803bd52c3a0abd.png[/img] does not depend on time, its solution reads as [img=244x49]1803bd52cec3dd5.png[/img] .
- The eigenvalue problem for the Schrödinger equation [img=324x61]18034571f1a03d4.png[/img] has solution for all [img=36x20]18034571fa6baec.png[/img].
- Ψ in the<br/>Schrödinger equation is ( ) A: wave<br/>function B: probability<br/>density C: radial<br/>wave function D: angular<br/>wave function
- Which of the following statements about time-dependent Schrödinger equation is False? A: It describes the evolution in time of any quantum state. B: It allows to calculate the time derivative of a wave function from its spatial-coordinate dependence at a fixed time. C: If [img=15x24]1803bd5c93e1f87.png[/img] does not depend on time, its solution reads as [img=220x61]1803bd5c9df69ff.png[/img] D: [img=80x44]1803bd5ca7409eb.png[/img] is satisfied, only if [img=15x24]1803bd5cafc8d0c.png[/img] does not depend on time.