what is the significance of the wave function of the schrodinger equation?

Answer 1

The basis of quantum mechanics.

Very complex math involving high order calculus and quantum mechanics. The goal here is to calculate a formula to locate the position of an object with respect to Einstein’s Space time and the Theory of Relativity. Normally it is only applied in quantum mechanics but it can be applied in astronomy to calculate the orbits of stars and galaxies.

You can use that formula to determine the wave form or quantum states of an electron; this then forms the basis for all of quantum mechanics and it is used to construct the periodic table of elements. The function can also be used to determine the type of orbits for the electrons s, p, d, f, g, or l.

Differential equation and scalar functions are calculus operations. I don’t pretend to understand the math but this article helped a lot: http://en.wikipedia.org/wiki/Introduction_to_quantum_mechanics#Schr.C3.B6dinger_wave_equation

According to Wikipedia: http://en.wikipedia.org/wiki/Schrodinger_equation
"This vector is often somewhat loosely referred to as wave function, although in a more rigorous formulation of quantum mechanics a wave function is a special case of a state vector. (In fact, a wave function is a state in the position representation, see below). A state vector encodes the probabilities for the outcomes of all possible measurements applied to the system. It contains all information of the system that is knowable in a quantum mechanical sense. As the state of a system generally changes over time, the state vector is a function of time. The Schrödinger equation provides a quantitative description of the rate of change of the state vector."

"The state space of certain quantum systems can be spanned with a position basis. In this situation, the Schrödinger equation may be conveniently reformulated as a partial differential equation for a wavefunction, a complex scalar field that depends on position as well as time. This form of the Schrödinger equation is referred to as the Schrödinger wave equation."

Answer 2

It exists as a particle vacationing as a wave without mass yet with a measured momentum :) heavily........... too many theories on easy particle duality to truly write here. I heard somebody argue that the interference is unquestionably the consequence of photons from parallel universes case in point. many times, one takes the concept this is maximum appropriate for the given situations. it is exciting to contemplate that one and all remember interior the universe certainly travels as a wave. the ingredient is easy is sufficiently small to make the wave rather sizeable.