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Introduction to Quantum Tunnelling

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Credit - JohnsonMartin: https://pixabay.com/illustrations/wormhole-space-time-light-tunnel-739872/ Wave-particle duality is a key aspect of quantum mechanics. The wave characteristics of a particle are mathematically described by a quantity called the wave function. The square of the modulus (absolute value) of the wave function at a given position represents the probability of finding the particle at that point. 1 Quantum mechanics is inherently probabilistic. It is only when an observation is made that the wave function collapses. This feature is most apparent in the double-slit experiment which was talked about in the previous post ( https://phys-talk.blogspot.com/2020/09/the-problem-with-quantum-mechanics.html ). The wave-like nature of particles paves the way for an interesting phenomenon known as quantum tunnelling. Going through walls Quantum tunnelling is the phenomenon of particles passing through ‘seemingly impassable force barriers.’ 2 Consider a ball rolling up a ...

The Problem with Quantum Mechanics

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  Credit - geralt: https://pixabay.com/illustrations/physics-quantum-physics-particles-3871216/ Quantum mechanics is currently seen as ‘the best description we have of the nature of the particles that make up matter and the forces with which they interact.’ [1] The key ideas of quantum physics include wave-particle duality and quantised properties. Wave-particle duality is the concept that all physical entities behave as both waves and particles simultaneously. For instance, electrons undergo diffraction which is a wave effect. Meanwhile, radiation is emitted in small discrete packets or quanta called photons. These photons can be considered as particles. Each photon contains an amount of energy. Therefore, light energy is quantised. Quantum mechanics has been incredibly successful since its development in the early 20 th century. Most notably, they underpin the science behind transistors, fundamental to modern electronics, which are composed of semiconductors: the energy ba...

Semiconductors Part 2: Doping & Types of Semiconductor

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Guillom assumed (based on copyright claims): https://commons.wikimedia.org/wiki/File:N-doped_Si.svg In Part 1 ( https://phys-talk.blogspot.com/2020/07/semiconductors-part-1-introduction-band.html ), we looked at the basics of semiconductors, using band theory to visualise how they differ from insulators and conductors. From Part 1, we learned that silicon is classed as a semiconductor due to the small energy gap between the valence and conduction bands. However, the conductivity of pure silicon is low and therefore it is not very useful in electronics. Doping is a method implemented to alter the properties of a semiconductor and modify its conductivity. It involves adding impurities to an intrinsic semiconductor (like silicon) to ‘generate either a surplus or a deficiency in valence electrons.’ [1] This imbalance allows for the movement of electrons through the material and therefore current can flow. N-type semiconductors This diagram shows the structure of doped Silic...