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1. Wave mechanics was a branch of quantum mechanics that was interpreted observations in terms of waves. This theory was formulated by Schrodinger based on visual observations of how matter at the atomic level behaved. He proposed his theory after comparing electrons to particles and described electrons as “wave packets”. The theory of matrix mechanics was formulated by Heisenberg. Matrix mechanics was a branch of quantum mechanics that used mathematical systems to understand and solve problems of quantum mechanics. This theory was formulated by Heisenberg The proponents did not agree because the two approaches differed simply because Heisenberg based his research on what he observed as the properties of the phenomena which were found to be discreet whereas Schrödinger based his research on the assumption of a micro physical phenomena which he believed to be a continuous field.
2. Niels Bohr formulated the theory of complementarity. This theory was created to understand the behaviour of electrons and how these electrons acted as continuous stream of waves or particles. The behaviour of light energy, which is studied in quantum mechanics, is such that it can be considered a continuous stream of either waves or particles. However, it is not possible to study both states at the same time in one experiment.
3. The Uncertainty Principle is a way in which physicists can get to formulate a very clear and concise way to interpret a mathematical equation into everyday life.
4. The Copenhagen interpretation was utilized as an approach to recognize whether an electron was viewed as a wave or a particle. It was later revised to include the idea that when formulating a research question. It is known that electron behave as both a wave and a particle; however, the experimenter chooses which state to watch while doing the experiment. Einstein assumed that the Copenhagen interpretation was not an adequate clarification for quantum mechanics because he was not pleased with using probability to account for the instances of quantum mechanics. Einstein rejected the Copenhagen interpretation because of the theory of quantum entanglement that he, Boris and Nathan developed. This theory simply stated that it was not possible to break down the function of the quantum wave that is used to define two particles some distance apart but travelling in the same wave into separate independent parts; with each part defining each particle. This theory meant that the two particles were related by a relationship that could not be broken, meaning that the two properties of velocity and position could be measured at the same time due to the constant relationship. So in simple English, the position could be measured from the first particle and velocity from the second particle, simultaneously, since they are defined by the same wave function.