Schr�dinger's time independent equation, H \ psi = E \ psi is solved by explicit construction of \ psi.
12.
In an arbitrary potential, if a wave function solves the time-independent equation, so does its complex conjugate, denoted.
13.
An "'independent equation "'is an equation in a system of simultaneous equations which cannot be derived algebraically from the other equations.
14.
These exceptions can occur only when the overdetermined system contains enough linearly dependent equations that the number of independent equations does not exceed the number of unknowns.
15.
The number of independent equations in a system of consistent equations ( a system that has at least one solution ) can never be greater than the number of unknowns.
16.
He says the method of virtual Work can be applied to indeterminate systems, and its powerful advantage is that it can generate as many independent equation as one wants.
17.
If the real and imaginary components could be reversed without consequence in the time independent equation, then they are not " special " compared to real numbers in that setting.
18.
Multiple experiments using different values of " e " are necessary to establish multiple independent equations defining the multiple independent rate constants in terms of experimental rates and concentrations.
19.
According to the Rouch? Capelli theorem, a system of equations is independent, and the point of concurrency can be found by solving any two mutually independent equations simultaneously for the two variables.
20.
This is due to the cancellation of the energy-dependent terms with the disconnected terms contributing to the product of He ^ { S }, resulting in the same set of nonlinear energy-independent equations.
