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MonographDOI

Lectures on Quantum Mechanics

TLDR
Weinberg as discussed by the authors provides a concise introduction to modern quantum mechanics, in this fully updated second edition of his successful textbook, including six brand new sections covering key topics such as the rigid rotator and quantum key distribution, as well as major additions to existing topics throughout.
Abstract
Nobel Laureate Steven Weinberg combines exceptional physical insight with his gift for clear exposition, to provide a concise introduction to modern quantum mechanics, in this fully updated second edition of his successful textbook. Now including six brand new sections covering key topics such as the rigid rotator and quantum key distribution, as well as major additions to existing topics throughout, this revised edition is ideally suited to a one-year graduate course or as a reference for researchers. Beginning with a review of the history of quantum mechanics and an account of classic solutions of the Schrodinger equation, before quantum mechanics is developed in a modern Hilbert space approach, Weinberg uses his remarkable expertise to elucidate topics such as Bloch waves and band structure, the Wigner–Eckart theorem, magic numbers, isospin symmetry, and general scattering theory. Problems are included at the ends of chapters, with solutions available for instructors at www.cambridge.org/9781107111660.

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Journal ArticleDOI

Monotonicity of the Quantum Relative Entropy Under Positive Maps

TL;DR: In this paper, it was shown that the quantum relative entropy decreases monotonically under the application of any trace-preserving linear map, for underlying separable Hilbert spaces, which is a natural question that has been open for a long time, as monotonicity had previously only been shown to hold under additional assumptions, such as complete positivity of the adjoint map.
Journal ArticleDOI

Perspective: Quantum Hamiltonians for optical interactions

TL;DR: Claims of non-physicality are refuted: the PZW transformation and ensuing Hamiltonian are shown to rest on solid physical principles and secure theoretical ground.
Journal ArticleDOI

The theory of local mass dimension one fermions of spin one half

TL;DR: Ahluwalia-Khalilova and Grumiller as mentioned in this paper proposed a quantum theory of spin one-half fermions that is free from all the mentioned issues, including non-locality and a subtle violation of Lorentz symmetry.
Posted Content

Notwithstanding Bohr, the Reasons for QBism

TL;DR: The Born Rule of QBism as discussed by the authors is a normative statement about the decision-making behavior any individual agent should strive for; it is not a descriptive "law of nature" in the usual sense, and all probabilities including all quantum probabilities are so subjective they never tell nature what to do.
Journal ArticleDOI

Continuous Phase Transition without Gap Closing in Non-Hermitian Quantum Many-Body Systems

TL;DR: This work presents an exactly solvable model by generalizing Kitaev's toric-code model to a non-Hermitian regime and shows a singularity due to nonorthogonality of eigenstates in the susceptibility to a change in the system parameter.
References
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Book

Quantum Theory at the Crossroads: Reconsidering the 1927 Solvay Conference

TL;DR: The 1927 Solvay Conference on Quantum Foundations as discussed by the authors discussed the relationship between experiment and the electromagnetic theory of radiation, and discussed the effects of interference, superposition, and wave packet collapse.