Quantum Mechanics (Book): Difference between revisions
No edit summary |
(added applications texts) |
||
| Line 15: | Line 15: | ||
=== Applications === | === Applications === | ||
<div class="flex-container" style="clear: both;"> | |||
{{BookListing | |||
| cover = Ahlfors Complex Analysis Cover.jpg | |||
| link = Complex Analysis (Book) | |||
| title = === Complex Analysis === | |||
| desc = Complex Analysis by Lars Ahlfors. | |||
}} | |||
{{BookListing | |||
| cover = Fulton-Harris Representation Theory cover.jpg | |||
| link = Representation Theory (Book) | |||
| title = === Representation Theory === | |||
| desc = Representation Theory by William Fulton and Joe Harris. | |||
}} | |||
{{BookListing | |||
| cover = Mackey the theory of unitary group representations cover.png | |||
| link = The Theory of Unitary Group Representations (Book) | |||
| title = === The Theory of Unitary Group Representations === | |||
| desc = The Theory of Unitary Group Representations by George Mackey. | |||
}} | |||
{{BookListing | |||
| cover = Gelfand Generalized Functions vol 1 cover.png | |||
| link = Generalized Functions (Book Series) | |||
| title = === Generalized Functions: Properties and Operations === | |||
| desc = Generalized Functions: Properties and Operations by Israel Gel'fand and Georgi Shilov. | |||
}} | |||
{{BookListing | |||
| cover = Gelfand Generalized Functions vol 2 cover.png | |||
| link = Generalized Functions (Book Series) | |||
| title = === Generalized Functions: Spaces of Fundamental and Generalized Functions === | |||
| desc = Generalized Functions: Spaces of Fundamental and Generalized Functions by Israel Gel'fand and Georgi Shilov. | |||
}} | |||
{{BookListing | |||
| cover = Gelfand Generalized Functions vol 4 cover.png | |||
| link = Generalized Functions (Book Series) | |||
| title = === Generalized Functions: Applications of Harmonic Analysis === | |||
| desc = Generalized Functions: Applications of Harmonic Analysis by Israel Gelfand and Naum Vilenkin. | |||
}} | |||
{{BookListing | |||
| cover = Lawson Spin Geometry cover.jpg | |||
| link = Spin Geometry (Book) | |||
| title = === Spin Geometry === | |||
| desc = Spin Geometry by H. Blaine Lawson jr. and Marie-Louise Michelsohn. | |||
}} | |||
{{BookListing | |||
| cover = Woodhouse Geometric Quantization cover.jpg | |||
| link = Geometric Quantization (Book) | |||
| title = === Geometric Quantization === | |||
| desc = Geometric Quantization by Nicholas Woodhouse. | |||
}} | |||
{{BookListing | |||
| cover = Connes Noncommutative Geometry cover.jpg | |||
| link = Noncommutative Geometry (Book) | |||
| title = === Noncommutative Geometry === | |||
| desc = Noncommutative Geometry by Alain Connes. | |||
}} | |||
</div> | |||
Revision as of 22:04, 9 March 2023
| Quantum Mechanics | |
| |
| Information | |
|---|---|
| Author | Lev Landau |
| Language | English |
| Series | Course of Theoretical Physics |
| Publisher | Butterworth Heinemann |
| Publication Date | 1977 |
| Pages | 677 |
| ISBN-13 | 978-0-7506-3539-8 |
Quantum Mechanics is mathematically simple compared to the previous two foundations of physics - classical mechanics and fields. It is linear, so no complicated manifolds like in mechanics or relativity. This is deceptive, but is a helpful crutch when first learning the subject. The true nature of quantum mechanics is geometric: the projective geometry of Hilbert space, geometric quantization from classical/symplectic geometry to quantum phase spaces, the moment map in symplectic geometry gives the map to the convex space of probability distributions, the bundles and connections appearing in the quantum Hall effect, and finally it is also a task to precisely interpret generalized functions, spectra of self-adjoint operators on function spaces, (projective) unitary group representations, and kernels/matrices of these general operators.
Applications
Complex Analysis
Complex Analysis by Lars Ahlfors.
Representation Theory
Representation Theory by William Fulton and Joe Harris.
The Theory of Unitary Group Representations
The Theory of Unitary Group Representations by George Mackey.
Generalized Functions: Properties and Operations
Generalized Functions: Properties and Operations by Israel Gel'fand and Georgi Shilov.
Generalized Functions: Spaces of Fundamental and Generalized Functions
Generalized Functions: Spaces of Fundamental and Generalized Functions by Israel Gel'fand and Georgi Shilov.
Generalized Functions: Applications of Harmonic Analysis
Generalized Functions: Applications of Harmonic Analysis by Israel Gelfand and Naum Vilenkin.
Spin Geometry
Spin Geometry by H. Blaine Lawson jr. and Marie-Louise Michelsohn.
Geometric Quantization
Geometric Quantization by Nicholas Woodhouse.
Noncommutative Geometry
Noncommutative Geometry by Alain Connes.