Search Results for classical mechanics

... compared to classical mechanics Measurement process characterization Probability in QM vs in classical physics Uncertainty relations Trajectory and quantum objects Intrinsic quantum uncertainty and state concept Superposition principle Wave Function Spectrum of an observable...

... the classical and the quantum vision of phenomena. Even the issue of measurement in quantum mechanics and related indeterminism, although addressed by all, is treated in a differentiated way, e.g., focusing on the probabilistic nature; stressing the genuinely stochastic, i.e., non-epistemic nature of quantum...

.... ³ Hence, what students are exposed to are not the interpretive issues (and controversies) in the development of key terms (e.g., space, mass, force, energy, fields) and theories (e.g., classical mechanics to quantum theory) but a selective and sanitized version, though they graduate...

... of heuristics, in order of increasing extent, are drawing a free-body diagram, representations such as vectors, using Newton's second law, or classical mechanics. Larger classifications (e.g., classical mechanics) include heuristics embedded within heuristics. As students build increasingly extensive concepts...

... rate in pipes allow the students to visualize, conceptualize and quantify entropy generation in real processes. Understanding fluid dynamics at the microscale Medved et al. (2020) treat classical topics in fluid mechanics comprehensively and innovatively. They describe the relation between...

... storage on classical computers (bits) are often referred to as being able to be in a “0” or a “1” state. Similarly, qubits can be in states referred to as | 0 ⟩ or | 1 ⟩ . However, a unique feature of qubits as a consequence of the quantum mechanical phenomenon of “superposition...

... their analytical and problem-solving skills, to provide bridges between the content of different subdisciplines, and to offer a more varied and flexible learning experience. Specifically, in traditional curricula, courses focus on a particular subfield of physics (e.g., classical mechanics, electricity...

... , 2017a ). These tests are valuable because they enable standardized comparisons among institutions, instructions, instructors, or over time. Early in the 1990s, Hestenes and his co-workers developed the Mechanics Baseline Test with conceptual questions ( Hestenes and Wells, 1992 ). In the same year...

... and that these misconceptions generally persist after traditional instruction. This led to the assembly of a catalog of common mechanics misconceptions ( Halloun and Hestenes, 1985a ). This research motivated Hestenes et al. (1992) to develop the Force Concept Inventory (FCI) to measure a “Newtonian force concept...

... of the light-quantum hypothesis. These specific examples ignore relevant auxiliary hypotheses. Both effects can be accounted for in the semi-classical theory, i.e., by treating only the matter quantum mechanically while the electromagnetic field is described classically ( Passon and Grebe-Ellis, 2017 ). How...

... that is engaged in cognitive modeling. We use the phrase “cognitive modeling” broadly here to refer to any attempts to deconstruct learners' and scientists' conceptual knowledge and concept learning in terms of knowledge structures, processes of activation of these structures and mechanisms that account for how...

... of the Heavens ( Transworld , 2013 ). Forbes , N. and Mahon , B. , Faraday, Maxwell, and the Electromagnetic Field: How Two Men Revolutionized Physics ( Prometheus , 2014 ). Gangopadhyaya , A.   et al. , Supersymmetric Quantum Mechanics ( World Scientific , 2018 ). Garcia...

... as far as the current definition of the Force concept in classical mechanics, for an education level of 16–18 years old, tells us that Force is a quantity, having both magnitude and direction, that measures the interaction between two bodies. There is no force without the presence of at least two bodies...

... in achieving literacies pertaining to the future competencies. For example, randomized and standardized distributions of data are based on classical and quantum statistical mechanics. Essential concepts and theories for digital devices rely on physics. Mobile phones, tablet devices and wireless communication...

... and national curricula, introductory optics classes start with geometrical optics; wave optics is introduced to secondary students at a later phase of secondary education. Finally, modern optics and non-classical properties of light come into play in the upper secondary school in a quantum mechanical approach...

...Index Spectroscopy Theory in One Dimension is an in-depth introduction to quantum chemistry using classical analytical calculus and symmetry group theory. The book employs the one-dimensional particle in a box and particle on a ring systems to develop the theoretical underpinnings...

...Front Matter Spectroscopy Theory in One Dimension is an in-depth introduction to quantum chemistry using classical analytical calculus and symmetry group theory. The book employs the one-dimensional particle in a box and particle on a ring systems to develop the theoretical underpinnings...

... in ontology, that is, in the kinds of entities a model takes to exist. On a simple, classical view of phenomena, throughout the 19th century, methods of empirical research depended on reproducibility: The same initial conditions lead to the same outcomes, within measurement errors. Quantum mechanics...

... recently an emphasis on scientific argumentation and STEM education (for the grouping of the last two decades of research, see Wang et al., 2022 ). The section focuses on classics of the developmental tradition to show how an ever-finer grained approach took hold, increasing the dimensionality...