Recent content by Small bugs
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Graduate Electromagnetic radiation pressure
I am confused with the fact of radiation pressure on Wiki and my homework solution. They are both arguing that the pressure produced by a ray of light to be reflected with incident angle θ and intensity I is: $$\frac{2I\cos^2(\theta)}{c}$$ My thinking We know that: $$Ft=\Delta p$$ We see the...- Small bugs
- Thread
- Electromagnatism Electromagnetic Electromagnetic radiation Pressure Radiation Radiation pressure
- Replies: 1
- Forum: Electromagnetism
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Graduate How Does the Wave Equation Derive and What Solutions Exist?
Im just wondering why the different initial conditions as i posted give both an unique solution?- Small bugs
- Post #4
- Forum: Beyond the Standard Models
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Graduate How Does the Wave Equation Derive and What Solutions Exist?
$$\frac{\partial^2}{\partial t^2}u(x,t)=c^2\Delta u(\vec{x},t)\qquad \vec{x}\in \mathbb{R}^n$$ is known as the wave equation. It seems not very trivial, so is there any derivations or inspirations of it? To solve this equation, we have to know the initial value and boundary conditions...- Small bugs
- Thread
- Wave Wave equation
- Replies: 5
- Forum: Beyond the Standard Models
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Graduate Spectrum Continuity: Quantum & Real-Life Perspectives
Thx. Still a problem with transition and life time. And with which equations can we calculate the life time and transition probability? Time-dependent Schrödinger equation? But for time-dependent S equation, it seems that the system will never transit and just be in superposition forever. How...- Small bugs
- Post #3
- Forum: Quantum Physics
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Graduate Spectrum Continuity: Quantum & Real-Life Perspectives
Now that, in bound state, the particles have quantized energy. So the system can only absorb certain kinds of photons. But why when I see the absorption graphic in books(x-axis is wavelength; y-axis is intensity, transmission percentage or sth), they are all continuous? They do have peaks...- Small bugs
- Thread
- Continuity Spectrum
- Replies: 4
- Forum: Quantum Physics
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Graduate Wave equation indicates the probability density
So if the wave function collapses after measurement, if I measure it again, will I still get the same eigenstate 100%? If we solve the time-dependent Schrödinger equation. After our measurement, will it be still time-dependent? But the "collapse" seems to make it into stationary state- Small bugs
- Post #16
- Forum: Quantum Physics
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Graduate Wave equation indicates the probability density
Thanks, I understand! And I also feeling "bad" about measurement. How can my "eyeball" influences the system? And if the wave function collapses after measurement, does the system stay the same state afterwards which means I measure it again, will I still get the same eigenstate 100%?- Small bugs
- Post #13
- Forum: Quantum Physics
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Graduate Wave equation indicates the probability density
Thanks for your answer. I understand it, but my mean problem is: why the this two events are not mutually exclusive? In my case, I wanted to calculate the event that electron appears in the interval e.g. (0,1). But the system is in superposition state which is superposed by to eigenstate A and...- Small bugs
- Post #9
- Forum: Quantum Physics
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Graduate Wave equation indicates the probability density
First, we know for every wave function $$p(x)=\psi(x)^*\psi(x)$$ indicates the probability density of a particle appearing at the point x. So if we calculate $$P=\int _M p \text{d}x$$ this gives the probability of the particle appearing in the range M. On the other side, I was thinking about...- Small bugs
- Thread
- Density Probability Probability density Wave Wave equation
- Replies: 17
- Forum: Quantum Physics