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1.In fact, the Schrodinger equation is a differential equation. That is, the equation is a relation between its solution Y(x,t) and certain derivatives of Y (x,t) with respect to the independent space and time variables x and t. As there is more than one independent variable, these must be partial derivatives, such as aY(x,t) aY(x,t) azY(x,t) or or or Given Y(x,t) = sin 2n vt Evaluate the partial derivatives listed above of the sinusoidal function.

1.In fact, the Schrodinger equation is a differential equation. That is, the equation is a relation between its solution Y(x,t) and certain derivatives of Y (x,t) with respect to the independent space and time variables x and t. As there is more than one independent variable, these must be partial derivatives, such as aY(x,t) aY(x,t) azY(x,t) or or or Given Y(x,t) = sin 2n vt Evaluate the partial derivatives listed above of the sinusoidal function.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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1.In fact, the Schrodinger equation is a differential equation. That is, the equation is a relation between its solution Y(x,t) and certain derivatives of Y (x,t) with respect to the independent space and time variables x and t. As there is more than one independent variable, these must be partial derivatives, such as aY(x,t) ôx aY(x,t) or az¥(x,t) or az¥(x,t) or Given Y(x,4) = sin 2r- vt Evaluate the partial derivatives listed above of the sinusoidal function.
Transcribed Image Text:1.In fact, the Schrodinger equation is a differential equation. That is, the equation is a relation between its solution Y(x,t) and certain derivatives of Y (x,t) with respect to the independent space and time variables x and t. As there is more than one independent variable, these must be partial derivatives, such as aY(x,t) ôx aY(x,t) or az¥(x,t) or az¥(x,t) or Given Y(x,4) = sin 2r- vt Evaluate the partial derivatives listed above of the sinusoidal function.
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