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Pharmakotherapie der Kreislaufinsuffizienz,So far, we have only considered spinless single-particle systems. However, to study electrons, we need to account for their spin and its impact on the symmetry group.
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Groups: Definitions and Properties,In this chapter, we explore the fundamental properties of groups. We begin by defining groups in Sect. . and exploring some of their simple properties.
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Matrix Elements of Tensor Operators: The Wigner-Eckart Theorem,In this chapter, we focus on the Wigner-Eckart theorem, which allows us to calculate matrix elements of irreducible tensor components. In Sect. ., we first recall a common variant of this theorem that is usually covered in quantum mechanics courses. In this context, we also introduce the concept of Clebsch-Gordan coefficients.
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Space Groups,This chapter focuses on space groups which result from combining rotational symmetries in solids with the translational symmetry. These are obviously the maximum symmetry groups of crystals.
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