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What is the significance of time independent Schrodinger equation?

What is the significance of time independent Schrodinger equation?

The time-independent Schrodinger equation is used for a number of practical problems. Systems with bound states are related to the quantum mechanical “particle in a box”, barrier penetration is important in radioactive decay, and the quantum mechanical oscillator is applicable to molecular vibrational modes.

What is the physical significance of Schrodinger wave function?

The wave function ψ associated with a moving particle is not an observable quantity and does not have any direct physical meaning. It is a complex quantity. However, this can represent the probability density of locating the particle at a place in a given instant of time.

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What is the physical significance of square of e Schrödinger wave equation?

The square of the wave function, Ψ2, however, does have physical significance: the probability of finding the particle described by a specific wave function Ψ at a given point and time is proportional to the value of Ψ2.

What is the difference between time-dependent and time independent Schrödinger equation?

The time-dependent Schrödinger equation describes how a wave function, in general, changes over time and space. The time-independent Schrödinger equation describes wave functions that are changing in time in only a trivial way—as a change of phase, which is not itself measurable.

What is the physical significance of wave equation?

Wave function equation is used to establish probability distribution in 3D space. If there is a particle, then the probability of finding it becomes 1. Properties which can be measured for a particle should be known.

What does physical significance of a slope mean?

time graph reveals pertinent information about an object’s velocity. For example, a small slope means a small velocity; a negative slope means a negative velocity; a constant slope (straight line) means a constant velocity; a changing slope (curved line) means a changing velocity.

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What is physical significance of wave equation?

What is the physical significance of 2 ψ up?

ψ2 represent probability of finding an electron.