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Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics)
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The Formalisms of Quantum Mechanics - An Introduction (Paperback, 2015 ed.)
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The Formalisms of Quantum Mechanics - An Introduction (Paperback, 2015 ed.)
Series: Lecture Notes in Physics, 893
Expected to ship within 10 - 15 working days
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These lecture notes present a concise and introductory, yet as far
as possible coherent, view of the main formalizations of quantum
mechanics and of quantum field theories, their interrelations and
their theoretical foundations. The "standard" formulation of
quantum mechanics (involving the Hilbert space of pure states,
self-adjoint operators as physical observables, and the
probabilistic interpretation given by the Born rule) on one hand,
and the path integral and functional integral representations of
probabilities amplitudes on the other, are the standard tools used
in most applications of quantum theory in physics and chemistry.
Yet, other mathematical representations of quantum mechanics
sometimes allow better comprehension and justification of quantum
theory. This text focuses on two of such representations: the
algebraic formulation of quantum mechanics and the "quantum logic"
approach. Last but not least, some emphasis will also be put on
understanding the relation between quantum physics and special
relativity through their common roots - causality, locality and
reversibility, as well as on the relation between quantum theory,
information theory, correlations and measurements, and quantum
gravity. Quantum mechanics is probably the most successful physical
theory ever proposed and despite huge experimental and technical
progresses in over almost a century, it has never been seriously
challenged by experiments. In addition, quantum information science
ha s become an important and very active field in recent decades,
further enriching the many facets of quantum physics. Yet, there is
a strong revival of the discussions about the principles of quantum
mechanics and its seemingly paradoxical aspects: sometimes the
theory is portrayed as the unchallenged and dominant paradigm of
modern physical sciences and technologies while sometimes it is
considered a still mysterious and poorly understood theory, waiting
for a revolution. This volume, addressing graduate students and
seasoned researchers alike, aims to contribute to the
reconciliation of these two facets of quantum mechanics.
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