Titlebook: Mathematical Physical Chemistry; Practical and Intuit Shu Hotta Book 20202nd edition Springer Nature Singapore Pte Ltd. 2020 Hydrogen-like

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Theory of Analytic Functionsous features of the analytic functions accordingly. From a practical point of view, the theory of analytic functions is very frequently utilized for the calculation of real definite integrals. For this reason, we describe the related topics together with tangible examples.

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Vectors and Their Transformationspace ... Here, the endomorphism is defined as a linear transformation: ..?→?... The endomorphism is represented by a (., .) square matrix. This is most often the case with physical and chemical applications, when we deal with matrix algebra. In this book we focus on this type of transformation.

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Book 20202nd editiong the theory of analytic functions and continuous groups. This easy accessibility helps to create a deeper and clearer insight into mathematical physics, with emphasis on quantum mechanics and electromagnetism along with the theory of linear vector spaces and group theory.?.The basic nature of the b

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Quantum-Mechanical Harmonic Oscillator is a standard subject in classical mechanics as well. In this chapter, first we briefly survey characteristics of a classical harmonic oscillator. From a quantum-mechanical point of view, we deal with features of a harmonic oscillator through matrix representation. We define creation and annihilati

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Hydrogen-Like Atoms Unlike the case of a one-dimensional harmonic oscillator we dealt with in Chap. ., however, with a hydrogen atom we have to consider three-dimensional motion of an electron. Accordingly, it takes somewhat elaborate calculations to constitute the Hamiltonian. The calculation procedures themselves, h

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Theory of Analytic Functionsfunction .(.), or a function that takes a complex number . as a variable, has various properties that often differ from those of functions that take a real number . as a variable. In particular, the analytic functions hold a paramount position in the complex analysis. In this chapter we explore vari

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Maxwell’s Equationsow how equations of electromagnetic wave motion are derived from Maxwell’s equations along vector analysis. It is important to realize that the generation of the electromagnetic wave is a direct consequence of the interplay between the electric field and magnetic field that both change with time. We