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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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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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Relational Quantum Mechanics [PDF]
I suggest that the common unease with taking quantum mechanics as a fundamental description of nature (the "measurement problem") could derive from the use of an incorrect notion, as the unease with the Lorentz transformations before Einstein derived from the notion of observer-independent time.
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On the categoricity of quantum mechanics [PDF]
AbstractThe paper offers an argument against an intuitive reading of the Stone-von Neumann theorem as a categoricity result, thereby pointing out that, against what is usually taken to be the case, this theorem does not entail any model-theoretical difference between the theories that validate it and those that don’t.
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Renormalization in quantum mechanics [PDF]
We implement the concept of Wilson renormalization in the context of simple quantum mechanical systems. The attractive inverse square potential leads to a $\b$ function with a nontrivial ultraviolet stable fixed point and the Hulthen potential exhibits the crossover phenomenon.
S. G. Rajeev, Kumar S. Gupta
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Student ability to distinguish between superposition states and mixed states in quantum mechanics
Superposition gives rise to the probabilistic nature of quantum mechanics and is therefore one of the concepts at the heart of quantum mechanics. Although we have found that many students can successfully use the idea of superposition to calculate the ...
Gina Passante+2 more
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Renormalisation in quantum mechanics [PDF]
replaced version with new figs. Text (LaTeX), 3 Figs. (ps)
H. Jirari+4 more
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Review of student difficulties in upper-level quantum mechanics
[This paper is part of the Focused Collection on Upper Division Physics Courses.] Learning advanced physics, in general, is challenging not only due to the increased mathematical sophistication but also because one must continue to build on all of the ...
Chandralekha Singh, Emily Marshman
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Demystifying Quantum Mechanics
Why does such a successful theory like Quantum Mechanics have so many mysteries? The history of this theory is replete with dubious interpretations and controversies, and yet a knowledge of its predictions, however, contributed to the amazing ...
Ana Elisa D. Barioni+4 more
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The Possibility of Reconciling Quantum Mechanics with Classical Probability Theory
We describe a scheme for constructing quantum mechanics in which a quantum system is considered as a collection of open classical subsystems. This allows using the formal classical logic and classical probability theory in quantum mechanics. Our approach
A. N. Kolmogorov+14 more
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