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The world according to quantum mechanics : why the laws of physics make perfect sense after all /
An invaluable supplement to standard textbooks on quantum mechanics, this unique introduction to the general theoretical framework of contemporary physics focuses on conceptual, epistemological, and ontological issues. The theory is developed by pursuing the question : what does it take to have mate...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Singapore ; Hackensack, NJ :
World Scientific,
©2011.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 1. Probability : Basic concepts and theorems. 1.1. The principle of indifference. 1.2. Subjective probabilities versus objective probabilities. 1.3. Relative frequencies. 1.4. Adding and multiplying probabilities. 1.5. Conditional probabilities and correlations. 1.6. Expectation value and standard deviation
- 2. A (very) brief history of the "old" theory. 2.1. Planck. 2.2. Rutherford. 2.3. Bohr. 2.4. de Broglie
- 3. Mathematical interlude. 3.1. Vectors. 3.2. Definite integrals. 3.3. Derivatives. 3.4. Taylor series. 3.5. Exponential function. 3.6. Sine and cosine. 3.7. Integrals. 3.8. Complex numbers
- 4. A (very) brief history of the "new" theory. 4.1. Schrodinger. 4.2. Born. 4.3. Heisenberg and "uncertainty". 4.4. Why energy is quantized
- 5. The Feynman route to Schrodinger (stage 1). 5.1. The rules of the game. 5.2. Two slits. 5.3. Interference. 5.4. The propagator as a path integral. 5.5. The time-dependent propagator. 5.6. A free particle. 5.7. A free and stable particle
- 6. Special relativity in a nutshell. 6.1. The principle of relativity. 6.2. Lorentz transformations : General form. 6.3. Composition of velocities. 6.4. The case against positive K. 6.5. An invariant speed. 6.6. Proper time. 6.7. The meaning of mass. 6.8. The case against K = 0. 6.9. Lorentz transformations : Some implications. 6.10. 4-vectors
- 7. The Feynman route to Schrodinger (stage 2). 7.1. Action. 7.2. How to influence a stable particle? 7.3. Enter the wave function. 7.4. The Schrodinger equation
- 8. Why quantum mechanics? 8.1. The classical probability calculus. 8.2. Why nontrivial probabilities? 8.3. Upgrading from classical to quantum. 8.4. Vector spaces. 8.5. Compatible and incompatible elementary tests. 8.6. Noncontextuality. 8.7. The core postulates. 8.8. The trace rule. 8.9. Self-adjoint operators and the spectral theorem. 8.10. Pure states and mixed states. 8.11. How probabilities depend on measurement outcomes. 8.12. How probabilities depend on the times of measurements. 8.13. The rules of the game derived at last
- 9. The classical forces : Effects. 9.1. The principle of "least" action. 9.2. Geodesic equations for flat spacetime. 9.3. Energy and momentum. 9.4. Vector analysis: Some basic concepts. 9.5. The Lorentz force.