Writing Energy Change in Calculus Notation

In summary, the given equation can be expressed in calculus notation by using the Greek letter delta to represent change, the derivative with respect to time, and the derivative with respect to energy level. The equation also includes the use of the Rydberg constant, Joules as the unit for work, and the energy levels of an atom at different times.
  • #1
GreenPrint
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How do I write this in calculus notation?

[delta]E = (-2.178 x 10^(-18) J) / (n^2 - n_0^2)

were [delta] is the Greek letter delta used to represent change of
E = Energy
-2.178 x 10^(-18) J = Different form of Rydberg's constant
J is the unit for work Joules
n = energy level of an atom
n_0 = n naught, energy level at time T = 0

Thank you for the help!
 
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  • #2


GreenPrint said:
How do I write this in calculus notation?

[delta]E = (-2.178 x 10^(-18) J) / (n^2 - n_0^2)

were [delta] is the Greek letter delta used to represent change of
E = Energy
-2.178 x 10^(-18) J = Different form of Rydberg's constant
J is the unit for work Joules
n = energy level of an atom
n_0 = n naught, energy level at time T = 0

Thank you for the help!

Click on the expression below to see how to render it in TeX, if that's what you are asking:

[tex]\Delta E =\frac{-2.718\cdot 10^{-18}}{n^2 - n_0^2}[/tex]
 
  • #3


I was actually just asking how to write in calculus notation with derivatives and such if they apply here as this equation just seems to simple if you know what I mean.
 
  • #4


I just thought that the equation can be simplified by expressing it in calculus notation as it just seems way to simple and I'm seeing two changes, a change in energy and a change in energy levels within the equation so my initial thoughts were that it could rewritten...
 

1. What is energy change in calculus notation?

Energy change in calculus notation is the mathematical representation of how energy changes over time. It involves using derivatives and integrals to calculate the rate of change of energy.

2. Why is it important to write energy change in calculus notation?

Writing energy change in calculus notation allows for a more precise and accurate understanding of how energy is changing and can help in predicting future energy trends. It also allows for easier calculations and analysis of energy systems.

3. How do you write energy change in calculus notation?

To write energy change in calculus notation, you would use the derivative symbol (d/dt) to represent the rate of change of energy with respect to time. This would be followed by the energy function, such as E(t), and then the integration symbol (∫) to represent the total change in energy over a specific time interval.

4. What are some common units used for energy change in calculus notation?

Some common units used for energy change in calculus notation include joules (J) for energy and seconds (s) for time. Other units may be used depending on the specific energy system being analyzed.

5. How can energy change in calculus notation be applied in real-world situations?

Energy change in calculus notation can be applied in various real-world situations, such as analyzing the efficiency of energy production and consumption, predicting the behavior of energy systems, and understanding the impact of energy usage on the environment. It can also be used in fields such as physics, engineering, and economics to model and optimize energy systems.

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