Quantum Theory: Concepts and Methods
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Peres has given us a clear and fully elaborated statement of the epistemology of quantum mechanics, and a rich source of examples of how ordinary questions can be posed in the theory,
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Earlier results gave a bound on orthogonality time only in terms of ∆E.
“This result is somewhat surprising, since earlier results gave a bound only in terms of ∆ E”
From The maximum speed of dynamical evolution (1998) · cites this paper as [16]
The available passages include a table-of-contents entry for “Time and energy complementarity” (References, p. 413), but not that section’s text. Searches for orthogonality time, ΔE, and energy-uncertainty bounds found no passage stating what earlier results bounded, so the claim cannot be verified from our copy. (LLM, conf=0.72)
Experimental — accuracy not yet measuredThe minimum time needed for a quantum system to pass from one orthogonal state to another has previously been characterized in terms of the standard deviation of the energy ∆E.
“The minimum time needed for a quantum system to pass from one orthogonal state to another has also previously been characterized, in terms of the standard deviation of the energy ∆ E [10,16,20,17,5].”
From The maximum speed of dynamical evolution (1998) · cites this paper as [16]
The table of contents lists “Time and energy complementarity” (Chapter 12, p. 413), but the passages available from our copy do not state a minimum time for evolution to an orthogonal state or relate it to the energy standard deviation. Searches for orthogonalization time, energy uncertainty, and the variance of the Hamiltonian found no passage establishing the claim. (LLM, conf=0.72)
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- PART III: QUANTUM DYNAMICS AND INFORMATION Chapter 8: Spacetime Symmetries 8-1. What is a symmetry? 8-2. Wigner's theorem 8-3. Continuous transformations 8-4. The momentum operator 8-5. The Euclidean group 8-6. Quantum dynamics 8-7. Heisenberg and Dirac pictures 8-8. Galilean invariance 8-9. Relativistic invariance 8-10. Forms of relativistic dynamics 8-11. Space reflection and time reversal 8-12. Bibliography Chapter 9: Information and Thermodynamics 9-1. Entropy 9-2. Thermodynamic equilibrium 9-3. Ideal quantum gas 9-4. Some impossible processes 9-5. Generalized quantum tests 9-6. Neumark's theorem 9-7. The limits of objectivity 9-8. Quantum cryptography and teleportation 9-9. Bibliography Chapter 10: Semiclassical Methods 10-1. The correspondence principle 10-2. Motion and distortion of wave packets 10-3. Classical action 10-4. Quantum mechanics in phase space 10-5. Koopman's theorem 10-6. Compact spaces 10-7. Coherent states 10-8. Bibliography Chapter 11: Chaos and Irreversibility 11-1. Discrete maps 11-2. Irreversibility in classical physics 11-3. Quantum aspects of classical chaos 11-4. Quantum maps 11-5. Chaotic quantum motion i x 2 1 5 215 217 220 225 229 237 242 245 249 254 257 259 2 6 0 260 266 270 275 279 285 289 293 296 2 9 8 298 302 307 312 317 319 323 330 3 3 2 332 341 347 351 353 x Table of Contents 11-6. Evolution of pure states into mixtures 369 11-7. Appendix: P OST SCRIPT code for a map 370 11-8. Bibliography 371 Chapter 12: The Measuring Process 3 7 3 12-1. The ambivalent observer 373 12-2. Classical measurement theory 378 12-3. Estimation of a static parameter 385 12-4. Time-dependent signals 387 12-5. Quantum Zeno effect 392 12-6. Measurements of finite duration 400 12-7. The measurement of time 405 12-8. Time and energy complementarity 413 12-9. Incompatible observables 417 12-10. Approximate reality 423 12-11. Bibliography 428 Author Index 430 Subject Index
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- Authors
- Peres, A., & Ballentine, L. E.
- Venue
- American Journal of Physics
- Published
- 1995-03-01
- Volume
- 63
- Issue
- 3
- Pages
- 285-286
- ISSN
- 0002-9505 (ISSN-L)
- 1943-2909
- OpenAlex
- W3003414507
- Cited by
- 2,561
- References
- 0
- Citations by year
- 2026: 13 · 2025: 29 · 2024: 21 · 2023: 58 · 2022: 36 · 2021: 56 · 2020: 52 · 2019: 61 · 2018: 51 · 2017: 63 · 2016: 107 · 2015: 72 · 2014: 103 · 2013: 93 · 2012: 116
- Type
- book review
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- American Journal of Physics (publishedVersion)
- Thammasat University Digital Collections (submittedVersion)
- TU Digital Collections (Thammasat University) (submittedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Social Sciences › Arts and Humanities › History and Philosophy of Science › Philosophy, Science, and History
- Social Sciences › Arts and Humanities › History and Philosophy of Science › Philosophy and History of Science
- Keywords
- quantum mechanics, epistemology of quantum mechanics, Peres, quantum measurement, interpretation of quantum mechanics
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