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Superposed_Cat
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Hi, material on learning the calculus way are plentiful but I can't find anywhere to teach me the matrix way, any links? I can't even find out how to represent the Hamiltonian as a matrix. Thanks in advance
The matrix formulation of quantum mechanics, also known as the matrix mechanics, is a mathematical formulation of quantum mechanics that uses matrices to represent quantum states and operators. It was developed by Werner Heisenberg and Max Born in the 1920s and was one of the two major formulations of quantum mechanics, along with the wave mechanics.
The matrix formulation of quantum mechanics is important because it provides a mathematical framework for understanding and predicting the behavior of quantum systems. It allows for the calculation of observables, such as energy and position, and provides a way to describe the evolution of quantum states over time.
The matrix formulation of quantum mechanics is taught in many undergraduate and graduate level physics courses, particularly in courses on quantum mechanics or mathematical methods in physics. It can also be learned through textbooks, online courses, and lectures from experts in the field.
While a strong background in mathematics is helpful, it is not necessary to understand the basics of the matrix formulation of quantum mechanics. Some knowledge of linear algebra and complex numbers is useful, but many resources are available that break down the concepts into more accessible terms for those with less mathematical background.
The matrix formulation of quantum mechanics has many practical applications, particularly in fields such as quantum computing, quantum chemistry, and quantum information science. It can also be applied in theoretical research, such as studying the behavior of particles in quantum systems or predicting the outcomes of quantum experiments.