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What are the limitations of wave function?

What are the limitations of wave function?

The wave function must be square integrable. The wave function must be single valued . It means for any given values of x and t , there should be a unique value of Ψ(x, t) so there is only a single value for the probability of the system being in a given state. It must have a finite value or it must be normalized.

Which Cannot be deduced from Schrödinger equation?

Therefore, the quantum number which is not derived from the Schrodinger equation is spin quantum number.

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What is the limit to the kind of molecule for which we can get an exact solution to the Schrödinger equation?

The potential energy function can only be written as above: a function of all the spatial positions of each particle. Unfortunately, the Coulomb repulsion terms make it impossible to find an exact solution to the Schrödinger equation for many-electron atoms and molecules even if there are only two electrons.

Is Schrodinger equation correct?

Consider the Schrödinger equation, which allows you to compute the “wave function” of an electron. Although it gives you the answer you want, the wave function doesn’t correspond to anything in the real world. It works, but no one knows why. The same can be said of the Schrödinger equation.

What is the significance of Schrödinger wave equation?

Schrodinger equation gives us a detailed account of the form of the wave functions or probability waves that control the motion of some smaller particles. The equation also describes how these waves are influenced by external factors.

Which quantum no is not obtained from Schrodinger wave equation?

Spin quantum number
The quantum number not obtained from the schrodinger’s wave equation is. Spin quantum number is not obtained from Schrodinger’s wave equation.

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Which quantum number originates from Schrodinger wave equation?

Principal quantum number, azimuthal quantum number and magnetic quantum number originate from the Schrodinger’s wave equation.

Why the Schrodinger equation for a molecule Cannot be solved exactly?

Schrodinger’s equation cannot be solved exactly for atoms with more than one electron because of the repulsion potential between electrons.

How does the Schrodinger wave equation help to understand the probability of finding the electron near the nucleus What do you mean by an Orbital?

Solutions to the Schrödinger wave equation, called wave functions , give only the probability of finding an electron at a given point around the nucleus. Electrons do not travel around the nucleus in simple circular orbits. Each dot represents a location where the electron could be at any given moment.

How do you find the wave function of a schrodinger wave?

Substituting for EΨ and p 2 Ψ, we get the wave function for one-dimensional wave called “Time-dependent Schrodinger wave equation”. Time dependent Schrodinger equation for three-dimensional progressive wave then is, Schrodinger equation is written as HΨ = EΨ, where h is said to be a Hamiltonian operator. 1. What is a wave function?

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How do you write the Schrodinger equation?

Schrodinger equation is written as HΨ = EΨ, where h is said to be a Hamiltonian operator. 1. What is a wave function? Answer: Wave function is used to describe ‘matter waves’.

What is schrodinger wave equation for JEE?

Schrodinger wave equation or just Schrodinger equation is one of the most fundamental equations of quantum physics and an important topic for JEE. The equation also called the Schrodinger equation is basically a differential equation and widely used in Chemistry and Physics to solve problems based on the atomic structure of matter.

What is the Schrodinger equation for three-dimensional progressive wave?

Time dependent Schrodinger equation for three-dimensional progressive wave then is, Schrodinger equation is written as HΨ = EΨ, where h is said to be a Hamiltonian operator. 1. What is a wave function?