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Quantum Mechanics

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The article was published on 1961-01-01 and is currently open access. It has received 20079 citations till now. The article focuses on the topics: Adiabatic quantum computation.

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Pseudo-Hermitian Representation of Quantum Mechanics

TL;DR: A diagonalizable non-Hermitian Hamiltonian having a real spectrum may be used to define a unitary quantum system, if one modifies the inner product of the Hilbert space properly as mentioned in this paper.
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Quantum Equilibrium and the Origin of Absolute Uncertainty

TL;DR: In this paper, the relationship between randomness, probability, certainty, knowledge, and knowledge is investigated. But the authors focus on the relation between the concepts of randomness and probability, and do not focus on their relationship to knowledge.
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Linear Canonical Transformations and Their Unitary Representations

TL;DR: In this article, it was shown that the group of linear canonical transformations in a 2N-dimensional phase space is the real symplectic group Sp(2N) and discussed its unitary representation in quantum mechanics when the N coordinates are diagonal.
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Spinor Bose–Einstein condensates

TL;DR: An overview of spinor and dipolar Bose-Einstein condensates is given in this paper, where the symmetry of the order parameter is classified using group theory, and various topological excitations are investigated based on homotopy theory.
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Probing surface and interface morphology with Grazing Incidence Small Angle X-Ray Scattering

TL;DR: A review of the GISAXS technique, from experimental issues to the theories underlying the data analysis, with a wealth of examples, can be found in this paper, where the authors introduce the notions of particle form factor and interference function, together with the different cases encountered according to the size/shape dispersion.