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Quantum Mechanics: A Modern Development
Abstract
Although there are many textbooks that deal with the formal apparatus of quantum mechanics (QM) and its application to standard problems, none take into account the developments in the foundations of the subject which have taken place in the last few decades. There are specialized treatises on various aspects of the foundations of QM, but none that integrate those topics with the standard material. This book aims to remove that unfortunate dichotomy, which has divorced the practical aspects of the subject from the interpretation and broader implications of the theory.The book is intended primarily as a graduate level textbook, but it will also be of interest to physicists and philosophers who study the foundations of QM. Parts of it could be used by senior undergraduates too.
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“To ensure the compatibility of non-relativistic quantum mechanics with EP, one generally invokes a superselection rule [15], originally proposed by Bargmann [16], which prevents a quantum particle from being found in superposition states of different masses.”
From Equivalence principle and quantum mechanics: quantum simulation with entangled photons (2018) · cites this paper as [15]
In the citing paper
“Bargmann's superselection rule ∆ m = m 2 -m 1 = 0 is thus viewed as a necessary requirement to avoid EP violation [15, 16].”
From Equivalence principle and quantum mechanics: quantum simulation with entangled photons (2018) · cites this paper as [15]
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“• Ballentine (1998)…the habit of considering an individual particle to have its own wave function is hard to break.... though it has been demonstrated strictly incorrect .. Marian Kupczynski Marian Kupczynski EPR – example Consider two systems I+II such that for t=T : 1) p1+p2 = p and x2 – x1 = q…”
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Metadata
- Authors
- Ballentine, L. E.
- Affiliations
- Simon Fraser University (CA)
- Corresponding author
- Ballentine, Leslie E
- Venue
- WORLD SCIENTIFIC eBooks
- Publisher
- WORLD SCIENTIFIC
- Published
- 1998-03
- DOI
- 10.1142/3142
- OpenAlex
- W1479923323
- Cited by
- 984
- References
- 0
- Citations by year
- 2026: 31 · 2025: 19 · 2024: 15 · 2023: 15 · 2022: 32 · 2021: 35 · 2020: 38 · 2019: 50 · 2018: 39 · 2017: 45 · 2016: 63 · 2015: 35 · 2014: 58 · 2013: 66 · 2012: 58
- FWCI
- 1.50
- Type
- book
- Language
- en
- Open access
- closed
- Locations
- WORLD SCIENTIFIC eBooks (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Noncommutative and Quantum Gravity Theories
- Social Sciences › Arts and Humanities › History and Philosophy of Science › Philosophy of Biology and Scientific Explanation
- Keywords
- quantum foundations, interpretation of quantum mechanics, quantum mechanics textbook, philosophy of physics, quantum mechanics
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Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
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