Titlebook: A Mathematical Journey to Quantum Mechanics; Salvatore Capozziello,Wladimir-Georges Boskoff Textbook 2021 The Editor(s) (if applicable) an

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Salvatore Capozziello,Wladimir-Georges BoskoffFacilitates learning presenting each topic from elementary–intermediate level to advanced.Shows that parallelism is continuously made between classical mechanics and quantum mechanics formalism.Gives

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UNITEXT for Physicshttp://image.papertrans.cn/a/image/141402.jpg

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https://doi.org/10.1057/9780230390683) in vacuum. Can light be treated in terms of Classical Mechanics or we need another theory to incorporate it? A quick answer is no. The reason for this statement starts from the Michelson–Morley experiment.

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https://doi.org/10.1057/9780230390683can perfectly cut it in two equal pieces without loosing material. One of its dimensions, say the height L becomes ./2. One of the two smaller equal rectangular parallelepipeds is also cut in two equal pieces. Its height becomes now .. We continue this process and, at each step, the power of 2 from

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Leadership Development and Practices,um Mechanics due to the practical and conceptual consequences of their formulation. The starting point for our considerations is asking how Erwin Schrödinger conceived these equations. According to the results of previous Chapter, he took into account the fact that objects of Quantum Mechanics are b

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Santiago Rodríguez Guerrero-Strachanhe de Broglie hypothesis. The photoelectric effect proved that the electromagnetic radiation is made of particles called photons having an energy . described by the formula .where . is the frequency of the wave and the momentum . is described by .where . is the wave number. In both formulas, we have

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Santiago Rodríguez Guerrero-Strachanisenberg Uncertainty Principle for position and momentum .i.e. the position and the momentum of a particle cannot be determined with the same degree of precision. There exists a limit in the accuracy of the prediction for both variables involved in the previous equality and it is easy to understand

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Ángel Mateos-Aparicio Martín-Alboperator derived from the equation. Let us reload the idea because we want to formalize the role of operators related to Quantum Mechanics. To advance in this subject, we start from the wave function .where . and . are determined by the formulas . and .. Since .it results .We can define a ., denoted

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https://doi.org/10.1007/978-3-031-30179-7 Mechanics to Quantum Mechanics. To give an image, the evolution of a particle is understood through the evolution of its expectation value. If you read the George Gamow book “.”, you can image the character trying to kill the quantum fly using a quantum splash and hitting the dense part of the shad