∫φ*(d²/dx²)ψdx=∫φ*[d(dψ/dx)/dx]dx=∫φ*d(dψ/dx)
=φ*dψ/dx-∫(dψ/dx)dφ*=-∫(dψ/dx)dφ*
=-∫(dψ/dx)(dφ*/dx)dx,
∫(d²φ/dx²)*ψdx=∫(d²φ*/dx²)ψdx=∫ψd(dφ*/dx)
=ψdφ*/dx-∫(dφ*/dx)dψ=-∫(dφ*/dx)dψ
=-∫(dφ*/dx)(dψ/dx)dx,
∴∫φ*(d²/dx²)ψdx=∫(d²φ/dx²)*ψdx
这步没看懂 φ*dψ/dx-∫(dψ/dx)dφ*=-∫(dψ/dx)dφ*
为什么第一项等于0? φ和ψ不该是两个任意函数么?
=φ*dψ/dx-∫(dψ/dx)dφ*=-∫(dψ/dx)dφ*
=-∫(dψ/dx)(dφ*/dx)dx,
∫(d²φ/dx²)*ψdx=∫(d²φ*/dx²)ψdx=∫ψd(dφ*/dx)
=ψdφ*/dx-∫(dφ*/dx)dψ=-∫(dφ*/dx)dψ
=-∫(dφ*/dx)(dψ/dx)dx,
∴∫φ*(d²/dx²)ψdx=∫(d²φ/dx²)*ψdx
这步没看懂 φ*dψ/dx-∫(dψ/dx)dφ*=-∫(dψ/dx)dφ*
为什么第一项等于0? φ和ψ不该是两个任意函数么?