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In a purely classical world, the probability of a moving particle getting through an electro-static barrier was simple: if the kinetic energy of the particle was greater than the charge times the voltage, it was 100% likely to get through, if the KE was less, the probability was zero. In the latter case, the ball would simply bounce back, because the energy level of the voltage barrier ( 'E(vb)' ) was simply too large for that particle's KE to overcome
When you do the mathematics of the Schroendinger Equation with this situation -- a charged particle meeting a voltage barrier -- you can no longer talk about what WILL happen with 100% certainty. You can only discuss the PROBABILITY of something happening. For example, even if the electron has more KE than E(bv), then there is some chance that it will bounce back.
When a moving electron meets a voltage barrier, in which the initial KE is smaller than E(vb), then the probability of finding that electron in that barrier goes down fairly rapidly. If the barrier is thick, then the probability of finding the electron in that area of high voltage goes down to zero. On the other hand, it CAN happen that, for a thin barrier (or a fast electron or a voltage barrier not too large), that the probability of finding an electron beyond the barrier does NOT go down to zero. In that case, you have quantum tunnelling.
The mathematics are fairly complicated; but have been shown to agree with experiment.
What else can I help you with?
What is the formula for calculating the transmission coefficient of a particle through a finite square well potential barrier?
The formula for calculating the transmission coefficient of a particle through a finite square well potential barrier is given by T e(-2ak), where T is the transmission coefficient, a is the width of the potential barrier, and k is the wave number of the particle.
How come Quantum tunnelling occur?
Quantum tunnelling occurs when a particle passes through a potential barrier that it would not be able to overcome based on classical physics alone. This is possible due to the wave-particle duality of quantum mechanics, where particles can behave as waves and exhibit probability distributions for their position. This allows particles to exist on both sides of the barrier simultaneously and have a non-zero probability of tunnelling through the barrier.
What is potential barrier factor?
Potential barrier is the energy inserted in order to go against the passage of electron.
What Train tunnels?
the train tunnels are where the trains goes through under ground
How do engineers move between piers on the thames barrier?
There are tunnels under the water to get from one pier to the next.
What are the properties and effects of an infinite potential barrier in quantum mechanics?
In quantum mechanics, an infinite potential barrier is a theoretical concept that represents a boundary that particles cannot pass through. This barrier has the property of reflecting particles back, rather than allowing them to pass through. The effects of an infinite potential barrier include the confinement of particles within a certain region, leading to phenomena such as particle wave interference and the quantization of energy levels.
What is the 1 particle that separaes the substance from a mixture?
The particle that separates a substance from a mixture is called a filter. This can be a physical barrier, such as a sieve or filter paper, that allows smaller particles to pass through while trapping the larger substance particles to separate them from the mixture.
What does Quantum tunneling refer to?
Quantum tunneling is a physics phenomenon within the area of quantum mechanics. Basically it refers to when a particle can tunnel through a barrier that it could not surmount in classic physics.
What is a particle that cannot penetrate paper?
A beta particle with low energy or a gamma ray with low energy might not be able to penetrate paper as paper can act as a barrier to these types of particles.
What is a transfer of energy through matter from particle to particle?
Conduction
What is transfer of energy from particle to particle through matter?
Conduction
What did the central pacific workers have to dig through the mountains?
tunnels
