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The important changes quantum mechanics has undergone in recent years are reflected in this approach for students. A strong narrative and over 300 worked problems lead the student from experiment, through general principles of the theory, to modern applications. Stepping through results allows students to gain a thorough understanding.
AULETTA, Gennaro+2 more
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Classical statistical average values are generally generalized to average values of quantum mechanics, it is discovered that quantum mechanics is direct generalization of classical statistical mechanics, and we generally deduce both a new general ...
Anandan J.+18 more
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Quantum mechanics of a photon [PDF]
A first-quantized free photon is a complex massless vector field A=(Aμ) whose field strength satisfies Maxwell’s equations in vacuum. We construct the Hilbert space H of the photon by endowing the vector space of the fields A in the temporal-Coulomb gauge with a positive-definite and relativistically invariant inner product.
Hassan Babaei, Ali Mostafazadeh
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The memory space: Exploring future uses of Web 2.0 and mobile internet through design interventions. [PDF]
The QuVis Quantum Mechanics Visualization project aims to address challenges of quantum mechanics instruction through the development of interactive simulations for the learning and teaching of quantum mechanics.
Adams W. K.+10 more
core +2 more sources
Chaos and Quantum Mechanics [PDF]
Abstract:The relationship between chaos and quantum mechanics has been somewhat uneasy—even stormy, in the minds of some people. However, much of the confusion may stem from inappropriate comparisons using formal analyses. In contrast, our starting point here is that a complete dynamical description requires a full understanding of the evolution ...
Bala Sundaram+6 more
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Probability Density in the Complex Plane
The correspondence principle asserts that quantum mechanics resembles classical mechanics in the high-quantum-number limit. In the past few years many papers have been published on the extension of both quantum mechanics and classical mechanics into the ...
Bender, Carl M.+3 more
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Depicting qudit quantum mechanics and mutually unbiased qudit theories
We generalize the ZX calculus to quantum systems of dimension higher than two. The resulting calculus is sound and universal for quantum mechanics. We define the notion of a mutually unbiased qudit theory and study two particular instances of these ...
Ranchin, André
core +2 more sources
A Reconstruction of Quantum Mechanics [PDF]
We formulate a general principle that supplants a Boolean -algebra of intrinsic properties of a classical system by a -complex (a union of -algebras) of extrinsic properties of a quantum system that are elicited by interactions with other systems.
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In this study, the mechanical response of Y‐shaped core sandwich beams under compressive loading is investigated, using deep feed‐forward neural networks (DFNNs) for predictive modeling. The DFNN model accurately captures stress–strain behavior, influenced by design parameters and loading rates.
Ali Khalvandi+4 more
wiley +1 more source
The Pure State Space of Quantum Mechanics as Hermitian Symmetric Space [PDF]
The pure state space of Quantum Mechanics is investigated as Hermitian Symmetric Kaehler manifold. The classical principles of Quantum Mechanics (Quantum Superposition Principle, Heisenberg Uncertainty Principle, Quantum Probability Principle) and ...
A. Manià+16 more
core +2 more sources