## Double derivative [ENDORSED]

$H_{\psi }=E_{\psi }$

1-D: $E_{TOTAL}\psi (x)=E_{k}\psi (x)+V(x)\psi(x)=-\frac{h^{2}}{8\pi ^{2}m}\frac{d^{2}\psi(x)}{dx^{2}}+V(x)\psi(x)$

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Ruohan Sun 3I
Posts: 19
Joined: Fri Sep 29, 2017 7:07 am

### Double derivative

What does double derivative mean?

Dylan Davisson 2B
Posts: 50
Joined: Thu Jul 27, 2017 3:00 am
Been upvoted: 2 times

### Re: Double derivative  [ENDORSED]

A double derivative would be the derivative of the derivative of a function. So, it's basically telling you the rate of change that something is changing.

For example, for a function of displacement, velocity would be its derivative (change of displacement over time), and acceleration would be its double derivative (change of velocity over time).

I don't know the context for this question, but I hope this helps a little.

Hellen Truong 2J
Posts: 50
Joined: Sat Jul 22, 2017 3:00 am
Been upvoted: 1 time

### Re: Double derivative

For the wave function, the double derivative helps you understand how either side is related to each other. Because psi is returned on the right side after the equation is performed, you can relate this concept to the way (for example) sinx would return -sinx after you derive it twice. Though the original sinx and the new -sinx are opposite in sign, the original function still comes back, similar to how it does in Schrodinger's equation.

Minie 1G
Posts: 63
Joined: Fri Sep 29, 2017 7:04 am

### Re: Double derivative

A double derivative is the same as a second derivative. Find the derivative of your function. Then, take another derivative -> you now have a double derivative.

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The text passage is a series of forum posts discussing the concept of a double derivative in the context of the Schrödinger equation. One user asks what a double derivative means, and another user provides an explanation.
no_question

the passage does not contain a specific mathematical question that requires a numerical or symbolic answer. instead, it contains a request for an explanation, which is provided in the subsequent posts.
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
## Double derivative [ENDORSED]

$H_{\psi }=E_{\psi }$

1-D: $E_{TOTAL}\psi (x)=E_{k}\psi (x)+V(x)\psi(x)=-\frac{h^{2}}{8\pi ^{2}m}\frac{d^{2}\psi(x)}{dx^{2}}+V(x)\psi(x)$

Moderators: Chem_Mod, Chem_Admin

Ruohan Sun 3I
Posts: 19
Joined: Fri Sep 29, 2017 7:07 am

### Double derivative

What does double derivative mean?

Dylan Davisson 2B
Posts: 50
Joined: Thu Jul 27, 2017 3:00 am
Been upvoted: 2 times

### Re: Double derivative  [ENDORSED]

A double derivative would be the derivative of the derivative of a function. So, it's basically telling you the rate of change that something is changing.

For example, for a function of displacement, velocity would be its derivative (change of displacement over time), and acceleration would be its double derivative (change of velocity over time).

I don't know the context for this question, but I hope this helps a little.

Hellen Truong 2J
Posts: 50
Joined: Sat Jul 22, 2017 3:00 am
Been upvoted: 1 time

### Re: Double derivative

For the wave function, the double derivative helps you understand how either side is related to each other. Because psi is returned on the right side after the equation is performed, you can relate this concept to the way (for example) sinx would return -sinx after you derive it twice. Though the original sinx and the new -sinx are opposite in sign, the original function still comes back, similar to how it does in Schrodinger's equation.

Minie 1G
Posts: 63
Joined: Fri Sep 29, 2017 7:04 am

### Re: Double derivative

A double derivative is the same as a second derivative. Find the derivative of your function. Then, take another derivative -> you now have a double derivative.

Return to “*Shrodinger Equation”

### Who is online

Users browsing this forum: No registered users and 0 guests
user
The text passage is a series of forum posts discussing the concept of a double derivative in the context of the Schrödinger equation. One user asks what a double derivative means, and another user provides an explanation.

TYPE: NO_QUESTION

The passage does not contain a specific mathematical question that requires a numerical or symbolic answer. Instead, it contains a request for an explanation, which is provided in the subsequent posts.