- #1
aliz_khanz
- 26
- 0
I Have a brief idea about the equation and i have searched the web for its application to one dimensional harmonic oscillator but no use. Any Help Would Be Welcomed Especially about the latter
Equation Appln to 1D Harmonic Oscillator: Help Needed
- Thread starter aliz_khanz
- Start date
In summary, the conversation was about finding information on the application of the one-dimensional harmonic oscillator equation. The person had searched the web but was not successful until they were provided with relevant links and assistance from others. They were grateful for the help and expressed their appreciation.
- #2
Doc Al
Mentor
- 45,569
- 2,219
Hard to believe you couldn't find anything on the web.
http://hyperphysics.phy-astr.gsu.edu/hbase/quantum/hosc2.html#c1"
http://en.wikipedia.org/wiki/Quantum_harmonic_oscillator"
Last edited by a moderator:
- #3
SpectraCat
Science Advisor
- 1,402
- 3
aliz_khanz said:I Have a brief idea about the equation and i have searched the web for its application to one dimensional harmonic oscillator but no use. Any Help Would Be Welcomed Especially about the latter
Well, I am happy to help you with your web search. Here are some relevant links ...
http://en.wikipedia.org/wiki/Introduction_to_quantum_mechanics
http://en.wikipedia.org/wiki/Schrödinger_equation
http://en.wikipedia.org/wiki/Quantum_harmonic_oscillator
I will also be happy to answer any specific questions you might have about their content, after you have read them. Good luck!
- #4
aliz_khanz
- 26
- 0
I am very grateful to both of you. Actually I was expecting the application to one dimension harmonic oscillator to be theoratical only. You guys set me straight , thanks again for the help ! :) God Bless u guys always ! :)
1. What is a 1D harmonic oscillator?
A 1D harmonic oscillator is a physical system that exhibits simple harmonic motion, meaning it oscillates back and forth around a central equilibrium point with a constant period and amplitude. It can be described by a mathematical equation known as the harmonic oscillator equation.
2. How is the equation applied to a 1D harmonic oscillator?
The equation for a 1D harmonic oscillator is typically written as F = -kx, where F is the force acting on the oscillator, k is the spring constant, and x is the displacement from the equilibrium point. This equation can be used to calculate the position, velocity, and acceleration of the oscillator at any given time.
3. What are the key factors that affect a 1D harmonic oscillator?
The key factors that affect a 1D harmonic oscillator are the mass of the oscillator, the spring constant, and the amplitude of the oscillation. These factors determine the frequency and period of the oscillation, as well as the maximum displacement and velocity of the oscillator.
4. How is the equation for a 1D harmonic oscillator solved?
The equation for a 1D harmonic oscillator can be solved using techniques from differential equations. The resulting solution will be a sinusoidal function that describes the motion of the oscillator over time. The specific method of solving the equation will depend on the initial conditions of the oscillator.
5. What are some real-world applications of the 1D harmonic oscillator?
The 1D harmonic oscillator has many real-world applications, including modeling the motion of pendulums, musical instruments, and molecular vibrations. It is also used in engineering and physics to study systems with simple harmonic motion, such as springs and oscillating circuits.
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