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Agreement and disagreement about the statements of principle of superposition

Hanping Liu, Yang Fu-min, Bingquan Chen

Several different statements of the principle of superposition in quantum mechanics are presented.The agreement and disagreement among these statements are compared and analyzed,and discussions are given.

College PhysicsJan 1, 20050 citations

Further discussions on the superposition principle

Guan Hong

The physical meaning of the superposition principle in quantum mechanics is discussed.Various statements of this principle in a few textbooks are commented.

College PhysicsJan 1, 20000 citations

Opinions on the State Superposition Principle of Quantum Mechanics and Its Teaching

Qinzhuang Liu

In this paper,some mistakable statements and explanations for the state superposition principle of quantum mechanics are analyzed and compared.The status of the state superposition principle in quantum mechanics is discussed,and some opinions about the teaching methods of the state superposition principle are given.

Jilin Normal University JournalJan 1, 20100 citations

Discussions on the superposition principle of states in quantum mechanics

Guan Hong

The meaning of superposition principle of states in quantum mechanics is discussed.Comments on some expressions and explanations of it,and some statements of it using simple and plain words are given.

College PhysicsJan 1, 20070 citations

On the Principle of Superposition in Quantum Mechanics

G. F. D. Duff

The principle of superposition of states requires that the states of a dynamical system form a linear vector space. This hypothesis of linearity has usually been regarded as a fundamental postulate in quantum mechanics, of a kind that cannot be explained by classical concepts. Indeed, Dirac [2, p. 14] comments that "the superposition that occurs in quantum mechanics is of an essentially different nature from any occurring in the classical theory, as is shown by the fact that the quantum superposition principle demands indeterminacy in the results of observations in order to be capable of a sensible physical interpretation."The principle of superposition of states requires that the states of a dynamical system form a linear vector space. This hypothesis of linearity has usually been regarded as a fundamental postulate in quantum mechanics, of a kind that cannot be explained by classical concepts. Indeed, Dirac [2, p. 14] comments that "the superposition that occurs in quantum mechanics is of an essentially different nature from any occurring in the classical theory, as is shown by the fact that the quantum superposition principle demands indeterminacy in the results of observations in order to be capable of a sensible physical interpretation."

Canadian Mathematical BulletinMar 1, 19640 citations

Limitations on the superposition principle: superselection rules in non-relativistic quantum mechanics

C. Cisneros, R. P. Martı́nez-y-Romero, H. N. Núñez‐Yépez +1 more

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 theory. The discussion of such limitations arising from the so-called superselection rules is the main purpose of this paper. Some of their principal consequences are also discussed. The univalence, mass and particle number superselection rules of non-relativistic quantum mechanics are also derived using rather simple methods.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 theory. The discussion of such limitations arising from the so-called superselection rules is the main purpose of this paper. Some of their principal consequences are also discussed. The univalence, mass and particle number superselection rules of non-relativistic quantum mechanics are also derived using rather simple methods.

arXiv:quant-ph/9809059European Journal of PhysicsMay 1, 199825 citations

Discussions on principle of superposition in quantum mechanics

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Discussions on principle of superposition in quantum mechanics

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