请教practice book上的题

sweetyummyUID: 2244936

109.The function F(x)=c sin(ax) is an eigenfunction of d2/dx2. the eigenvalue is
-a2

怎么算的呢?

sweetyummyUID: 2244936

还有一道
108. according to the second law of thermodynamics, which of the follwoing quantities represents the change in a state function?
选q/T

谢谢~~~

seolforUID: 2238537

109.
d2[csin(ax)]/dx2=-a2[csin(ax)]
即-a2是本征函数d2/dx2的本征值

seolforUID: 2238537

108
In thermodynamics, a state function, or state quantity, is a property of a system that depends only on the current state of the system, not on the way in which the system got to that state. A state function describes the equilibrium state of a system. For example, internal energy, enthalpy and entropy are state quantities because they describe quantitatively an equilibrium state of thermodynamic systems. At the same time, mechanical work and heat are process quantities because they describe quantitatively the transition between equilibrium states of thermodynamic systems.

so qrev/T represents the change of entropy, and other ones represent the process quantities or some other things rather than state quantities.

sweetyummyUID: 2244936

谢谢高人~~~

itswayUID: 183291

108,109考的都是概念的定义.
什么是算符 什么是熵