what is the Schrodinger's wave equation all about please somebody?

Question

i dont seem to create any sense from his wave equations and all that. why is it exceptionally difficult to understand? please somebody help me out!!!!!!

Answer 1

The wave function has the following sense: Its square equals to the probability that an object (described by the wave function) is at the state defined by argument values of the wave function.

The Schrödinger equation describes evolution of the wave function with time. On left hand side you have time derivative of the wave function. On the right hand side you have Hamiltonian (Hamiltonian operator) acting on the wave function.

This is basically a framework. Any object may be described by the wave function. And any physical situation may be described by the Hamiltonian. In classical approximation this picture is reduced to classical mechanics. At high energies, on opposite, this framework must be modified to something more advanced - relativistic quantum mechanics, quantum field theory...

Answer 2

Here's a simple way to visualize it (although it's really more math than actual stuff):

1) Imagine a rope between two people (kinda like a jump rope).

2) One of the persons jiggles the rope up and down. The rope starts to loop around, forming one big oval.

3) The person jiggles the rope faster, now the rope forms two ovals with a node (a non-moving part) in the middle.

What this is suggesting is that depending on the energy provided, the rope can form 1, 2, 3, etc. ovals.

Thus, a wave pattern is dependent on two things: the energy (given to the rope by jiggling) and position (the location of the rope at any given time).

The Schrodinger equations mathematically combines the energy of an electron and its probable position to define the wave form that is the electron. Note that the wave form is not a physical thing, it is just a description of where the electron is likely to be.

Answer 3

From Wikipedia:

"We can thus interpret the absolute square of the wavefunction as the probability density for the particle to be found at each point in space."

In other words, the wave function is an indication of the probability that we will find a particle at a particular point in space. Before observing the particle, this is the only information we have: the chance it could be "here" or "there". When we actually observe the particle this function "collapses" because we now know for certain where it is.

Answer 4

ok this is a little fuzzy and I am too lazy to go look it up but I believe Shrodinger's wave equation is in reference to quantum mechanical model of atoms. The equation describes an electron in an atom. Each electron will have a unique equation. So this is where you use the four quantum numbers.

Answer 5

Because he's a male