The Formalisms of Quantum Mechanics: An Introduction
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 Hilbe...
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Springer
2016
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oai:scholar.dlu.edu.vn:DLU123456789-597042023-11-11T06:49:19Z The Formalisms of Quantum Mechanics: An Introduction David, Francois Quantum Physics Mathematical physics Quantum theory 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. 2016-02-29T01:23:44Z 2016-02-29T01:23:44Z 2015 Book 978-3-319-10539-0 978-3-319-10538-3 https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/59704 en application/pdf Springer |
| institution |
Thư viện Trường Đại học Đà Lạt |
| collection |
Thư viện số |
| language |
English |
| topic |
Quantum Physics Mathematical physics Quantum theory |
| spellingShingle |
Quantum Physics Mathematical physics Quantum theory David, Francois The Formalisms of Quantum Mechanics: An Introduction |
| description |
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. |
| format |
Book |
| author |
David, Francois |
| author_facet |
David, Francois |
| author_sort |
David, Francois |
| title |
The Formalisms of Quantum Mechanics:
An Introduction |
| title_short |
The Formalisms of Quantum Mechanics:
An Introduction |
| title_full |
The Formalisms of Quantum Mechanics:
An Introduction |
| title_fullStr |
The Formalisms of Quantum Mechanics:
An Introduction |
| title_full_unstemmed |
The Formalisms of Quantum Mechanics:
An Introduction |
| title_sort |
formalisms of quantum mechanics:
an introduction |
| publisher |
Springer |
| publishDate |
2016 |
| url |
https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/59704 |
| _version_ |
1782535053958447104 |