Helping students apply superposition principle in problems involving spherical, cylindrical and planar charge distributions [PDF]
We describe student difficulties in applying the superposition principle in combination with Gauss's law. We addressed these difficulties by developing a tutorial that uses guided inquiry. Students who used this tutorial following lecture-based instruction performed significantly better on these topics than those who did not. Instructors can assign the
arxiv +1 more source
Limitations on the superposition principle: superselection rules in non-relativistic quantum mechanics [PDF]
The superposition principle is a very basic ingredient of quantum theory. What may come as a surprise to many students, and even to many practitioners of the quantum craft, is tha superposition has limitations imposed by certain requirements of the ...
A L Salas-Brito+22 more
core +2 more sources
Role of the superposition principle for enhancing the efficiency of the quantum-mechanical Carnot engine [PDF]
A role of the superposition principle is discussed for the quantum-mechanical Carnot engine introduced by Bender, Brody, and Meister [J. Phys. A 33, 4427 (2000)]. It is shown that the efficiency of the engine can be enhanced by superposition of quantum states.
arxiv +1 more source
A Class of PDEs with Nonlinear Superposition Principles [PDF]
Through assuming that nonlinear superposition principles (NLSPs) are embedded in a Lie group, a class of 3rd‐order PDEs is derived from a general determining equation that determine the invariant group. The corresponding NLSPs and transformation to linearize the nonlinear PDE are found, hence the governing PDE is proved C‐integrable.
Peng, Li+3 more
openaire +3 more sources
FUNDAMENTAL ERROR OF THE THEORY OF DURABLE RESISTENCE AND STANDARDS FOR REINFORCED CONCRETE
This article identifies and investigates the errors in the foundations of the modern theory of creep of reinforced concrete caused by the use of the principle of superposition, which is an extensive interpretation of the principle (scheme) of the linear ...
Rudolf S. Sanzharovsky+2 more
doaj +1 more source
Linear Superposition as a Core Theorem of Quantum Empiricism
Clarifying the nature of the quantum state |Ψ⟩ is at the root of the problems with insight into counter-intuitive quantum postulates. We provide a direct—and math-axiom free—empirical derivation of this object as an element of a vector space ...
Yurii V. Brezhnev
doaj +1 more source
God Plays Coins or Superposition Principle for Classical Probabilities in Quantum Suprematism Representation of Qubit States [PDF]
We construct the quantum density matrix of a spin-1/2 state for three given probability distributions describing positions of three classical coins and associate its matrix elements with the Triada of Malevich’s squares.
V. Chernega, O. Man'ko, V. Man'ko
semanticscholar +1 more source
Stress relaxation of constructions elements
A relaxation of stress in the elements of constructions is considered and an approach is proposed for solution of corresponding problems. It is notable that this approach is based on a modification Boltzmann’s principle superposition of fraction creep ...
Larionov Evgeniy, Zveryaev Evgeniy
doaj +1 more source
This article combines a new method based on signal decomposition and reconstruction with a fifth-order numerical algorithm and proposes an efficient hybrid method for solving forward kinematics problem of parallel manipulators. In this hybrid method, new
Qiming Wang+5 more
doaj +1 more source
Quantum conformal symmetries for spacetimes in superposition [PDF]
Without a complete theory of quantum gravity, the question of how quantum fields and quantum particles behave in a superposition of spacetimes seems beyond the reach of theoretical and experimental investigations.
Viktoria Kabel+3 more
doaj +1 more source