Some Problems in Wave Mechanics

Zhiqiang Huang

This paper get a general survey of advances in Wave Mechanics.The development of Wave Mechanics goes back to ancient times.The principle of least action is the source of Wave Mechanics,so it is the mother of several principles.Erwin Schrdinger was the greatest contribution scientist of Wave Mechanics,secondary was Louis de Broglie.The Schrdinger equation not only can treat the movement of microscopic particles,but also can analysed some of the macroscopic scientific problems.There's no time for Schrdinger to study the non-linear Schrdinger equation(NLS),but de Broglie devoted oneself to the study of nonlinear Wave Mechanics,and established contact with the solitary waves.At present,the most research works involve the nonlinear differential equations in mathematics,but ignore the physical meaning.In the sciences of waves,the study of electro-magnetic waves are important field,many problems demand clarification.From the Wave Mechanics point of view,we must integrate the classic electro-magnetic wave equation with the Quantum Mechanics wave eqution,the isolated discussion age of classic fields and waves was extremely early ended.

Jeffrey Alan Barrett

Abstract Everett thought of the quantum measurement problem as one of providing a consistent description of nested measurement. He proposed solving the measurement problem by simply supposing that all physical systems whatsoever always obey the linear dynamics and hence never collapse. Dropping the collapse dynamics immediately solves the measurement problem, but it introduces two new problems: explaining determinate measurement records and explaining quantum probabilities. In addition to these, we also consider the problem of empirical coherence in the context of pure wave mechanics. We then discuss how Everett himself understood determinate records and probabilities in his relative-state formulation of pure wave mechanics. What he ultimately provided was an argument that his formulation of quantum mechanics was consistent and empirically faithful. We will see why this is a relative weak standard by which to judge the empirical adequacy of a physical theory.

N. F. Mott, Ian Naismith Sneddon

Paul Gombás, D. Kisdi

Erwin Schrödinger

Quantisation as a problem of proper values ; the continuous transition from micro- to macro-mechanics ; on the relation between the quantum mechanics of Heisenberg, Born, and Jordan, and that of Schrödinger ; the Compton effect ; the energy-momentum theorem for material waves ; the exchange of energy according to wave mechanics