- #1
How can we solve by using the Fourier integral transform
The 3D Schrödinger equation which given by the form
[tex]\frac{\partial \psi (x,t)}{\partial t}= \frac{i\eta}{2m} \frac{\partial^2 \psi}{\partial x^2}[/tex]
with the following initial and boundary conditions :
[tex]\psi (x,0) = \psi_{\circ} (x)[/tex]
[tex]\psi (x,t) \rightarrow 0[/tex] as [tex]\left|x \right| \rightarrow \infty[/tex], t>0
The first step in solving an equation is to simplify both sides as much as possible by combining like terms and using inverse operations to get the variable by itself on one side of the equation.
To check if your answer is correct, you can plug it back into the original equation and see if it makes both sides of the equation equal. Another method is to graph the equation and see if the solution is the point where the line crosses the x-axis.
No, when solving an equation, it is important to use inverse operations. For example, if the equation has addition, you should use subtraction to undo it. If the equation has multiplication, you should use division to undo it.
When there are variables on both sides of the equation, you should try to get all the variables on one side and all the numbers on the other side. This can be done by using inverse operations and simplifying each side.
Yes, when solving an equation, you should follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). This ensures that the equation is solved correctly and the answer is accurate.