Mathematics Quantum Mechanics from the Basics / Takeshi Matsuura

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Mathematics
The first thing to be divided into is classical mechanics. classical mechanics and quantum mechanics are not connected in a continuous way. Therefore, we aim at the Hamiltonian form which is connected to quantum mechanics. The Hamiltonian form is a form in which the essential structure of classical mechanics can be seen clearly while looking at the equation of motion. This structure is very compatible with quantum mechanics. Next, we prepare the tools necessary to express quanta. The tools are vectors and linear operators. We acquire the concept of the linear operator, which is a basic tool, and we finally enter the world of quanta. Heisenberg form quantum mechanics, also called matrix mechanics. We aim at the Heisenberg equation, which is the equation of motion of quanta. In Akatsuki, which has reached this point, we can understand how to predict physical phenomena with quantum mechanics, even though it is in principle. However, the Heisenberg form has a disadvantage that it is difficult to solve the Heisenberg equation, which is the fundamental equation of motion of quanta. However, the Heisenberg form has a drawback that it is difficult to solve the Heisenberg equation, which is the fundamental equation of motion of quanta. At this stage, we change the view of quanta a little bit and move from the Heisenberg form to the Schrodinger form quantum mechanics, also called wave mechanics. By doing this, we transform the Heisenberg equation, which was the equation of matrix, into an easy-to-handle differential equation. This is the famous Schrodinger equation. At this stage, we complete quantum mechanics as a system. From there, we move from the Heisenberg form to the Schrodinger form quantum mechanics, also called quantum mechanics. By doing this, we transform the Heisenberg equation, which was the equation of matrix, into an easy-to-handle differential equation. This is the famous Schrodinger equation. At this stage, we complete quantum mechanics as a system. At this stage, we narrow down the topics from "constructing quantum mechanics" to "explaining natural phenomena using completed quantum mechanics." From there, we focus on topics that can be explained by quantum mechanics. Although there are a wide range of natural phenomena that can be explained by quantum mechanics, this book focuses on topics that can be solved manually by solving the Schrodinger equation and can learn typical characteristics of classical mechanics. Concretely, in the following chapters, we will focus on topics that can be explained by quantum mechanics. From there, we will focus on topics that can be explained by quantum mechanics. From there, we will Nakanaka Akatsuki