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Waves and Oscillations - A Prelude to Quantum Mechanics (Hardcover)
Loot Price: R2,775
Discovery Miles 27 750
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Waves and Oscillations - A Prelude to Quantum Mechanics (Hardcover)
Expected to ship within 12 - 19 working days
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Waves and oscillations permeate virtually every field of current
physics research, are central to chemistry, and are essential to
much of engineering. Furthermore, the concepts and mathematical
techniques used for serious study of waves and oscillations form
the foundation for quantum mechanics. Once they have mastered these
ideas in a classical context, students will be ready to focus on
the challenging concepts of quantum mechanics when they encounter
them, rather than struggling with techniques.
This lively textbook gives a thorough grounding in complex
exponentials and the key aspects of differential equations and
matrix math; no prior experience is assumed. The parallels between
normal mode analysis, orthogonal function analysis (especially
Fourier analysis), and superpositions of quantum states are clearly
drawn, without actually getting into the quantum mechanics. An
in-depth, accessible introduction to Hilbert space and bra-ket
notation begins in Chapter 5 (on symmetrical coupled oscillators),
emphasizing the analogy with conventional dot products, and
continues in subsequent chapters.
Connections to current physics research (atomic force microscopy,
chaos, supersolids, micro electro-mechanical systems (MEMS),
magnetic resonance imaging, carbon nanotubes, and more) are
highlighted in the text and in end-of-chapter problems, and are
frequently updated in the associated website.
The book actively engages readers with a refreshing writing style
and a set of carefully applied learning tools, such as in-text
concept tests, "your turn" boxes (in which the student fills in one
or two steps of a derivation), concept and skill inventories for
each chapter, and "wrong way" problems in which the student
explains the flaw in a line of reasoning. These tools promote
self-awareness of the learning process.
The associated website features custom-developed applets, video and
audio recordings, additional problems, and links to related current
research. The instructor-only part includes difficulty ratings for
problems, optional hints, full solutions, and additional support
materials.
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