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  1. M

    Possibly a very stupid question.

    \forall x\in \mathbb{R}, x \times 0 = 0 Then Let be a, b \in \mathbb{R}, a \neq b We said before that a \times 0 = 0[/tex] and also b \times 0 = 0. So, [itex]a \times 0 = b \times 0[/tex]. If we were able to divide by 0, we will have that [itex]a = b which is a contradition with...
  2. M

    Why a stationary state decay?

    What EM field? Electrostatic interaction between nucleus and electrons? MiGUi
  3. M

    Why a stationary state decay?

    I've been searching the answer for the called spontaneous de-excitation or free decay. We solve Time Independent Scrödinger's Equation for particles cause we know that stationary states evolves with a well defined frequency determined by de Broglie-Einstein's relations, etc. And when we...
  4. M

    Intensity of stokes and anti-stokes lines?

    If I remember well, the anti-stokes line is near absorption bands. Its gain is too low there, so it is less intense than stokes line.
  5. M

    Pauli Exclusion Priciple

    Cause fermions are 'defined' with the antisymmetry condition for its wavefunction and the bosons with the symmetric one. After, the spin-statistics theorem proofs that particles with an integer spin have to obey Bose-Einstein's statistic and particles with semi-integer spin have to obey...
  6. M

    Pauli Exclusion Priciple

    It can exists, but if you want to 'fill' the energy levels you need at least two.
  7. M

    What is Bose Eintein Condensate?

    One of the possible clasification of the particles is according to its spins. If its spin is an integer, then we call it a 'boson' and the wavefunction that describes its behavior is symmetric. If its spin is a semi integer, then we call it a 'fermion' and its wavefunction is antisymmetric...
  8. M

    Pauli Exclusion Priciple

    The Pauli Exclusion Principle says that two fermions can't be in the same individual state. If we only consider the external degrees of freedom (orbiting and so) then, for one level of energy you have only one state. This stands, at least, for hydrogenoid atoms. If you consider spin...
  9. M

    Mirrors facing eachother

    If put two mirrors parallel (at about .5 meter) you have a Fabry-Perot optical resonator. If the distance is less (about .5 cm) you may have a filter. This device has its own proper frequencies so if one of them is not all reflecting (such as 99% of reflecting) the radiation only emerges from...
  10. M

    Unit of work in mechanics and thermo dynamics

    Work is a kind of energy. I think that the reason to call it work is historically in the context of vapor machines. We use energy to move something that can replace men's labour such as moving a piston or something else. The first law of thermodynamics says that the balance of energy is the...
  11. M

    Superposition of two electrons

    If system's hamiltonian only contains spatial coordinates (such as {x,y,z} or else) you only need one wavefunction to describe the system. But, if you consider spin, since the total state space is built as \mathcal E = \mathcal{E}_{spatial} \otimes \mathcal{E}_{spin} then, a base may be the...
  12. M

    Superposition of two electrons

    Superposition principle can occur when there is not interaction between particles. I mean, if in the hamiltonian there are not mixed variables, so you can make the state space as the tensor product of the spaces of individual particles, then you can apply the superposition principle. But if you...
  13. M

    Mathematica Physics and the 'i' (mathematical term)

    Complex functions are sometimes useful, but physics quantities must be real. In QM, observables are hermitian operators, so its eigenvalues are real. We use, for example, imaginary exponentials to make it easier cause it is hard to work with trigonometric functions.
  14. M

    Wave collapse. Fact or fiction?

    Wave packet collapse its a theorethical result. When our system is a Hamiltonian stationary state and we measure an observable which eigenvectors are the same as the Hamiltonian. E.g. a particle in a harmonic oscillator potential, \hat H = \frac{\hat p^2}{2m} + \frac{1}{2}m \omega^2 \hat x^2...
  15. M

    Irrational digits countably infinite?

    rationals are countable, but irrationals are not. Between any two numbers there are infinite irrationals, and you can't know its exact value.
  16. M

    How old are you people ?

    I'm 21 ......
  17. M

    Time as an observable

    I don't think so. Because operators are dynamic magnitudes, like in mechanics. So time can't be into this description. Mathematically, observables are hermitian operators which eigenvectors can perform a complete base of the state space... ¿Can time have eigenvectors or eigenvalues? No...
  18. M

    News Will North Korea win a war?

    Wars are not won by nobody. Appart from that, I don't want to know if their nukes are real or not.
  19. M

    Mathematica Is the earth in absolute mathematical order?

    The fact is that a really small change in the weather conditions, can make a totally different evolution of the system. The equations that modelize the weather have this caothic behavior... When you study the distribution of temperature in a disc, the temperature don't varies a lot if you...
  20. M

    News I came here to vote for my friend.

    Yes. That's the right way.
  21. M

    Gauss's law proof

    I think that using the electromagnetic tensor is a more beautiful way to proof the 4 maxwell equations... That is, varying the action. Nevertheless.. the theorem of Gauss is the math's theorem of divergence, applied to electromagnetism. \int\int\int_V \vec{\nabla} \cdot \vec{P} dV= \int...
  22. M

    The Holocaust

    I can't believe this thread...
  23. M

    If E=MC2

    E = mc^2 its a general equation. E = hf its not... Its valid for a photon. It says that the energy of a photon is equivalent to its frecuency.
  24. M

    Can you translate this for me ?

    If you say a girl "mamacita", you will get "burned" instantly.
  25. M

    Electric Flux dimensions

    In one dimension? How you can talk about flux in one dimension?
  26. M

    Electric Flux dimensions

    The flux of a vector, is defined by Gauss's Theorem, that says: \int_{V} \vec{\nabla} \cdot \vec{v} dV = \int_{S} \vec{v} \cdot \hat{n} dS The first law of Maxwell says that \vec{\nabla} \cdot \vec{E} = \frac{\rho}{\epsilon_0}, then: \int_{V} \frac{\rho}{\epsilon_0} dV = \int_{S}...
  27. M

    Help in Spanish

    Negative form? I suppose that you mean to change the phase from positive meaning to negative, in that case: 1) Él siempre trae algo a la fiesta -> Él nunca trae nada a la fiesta. He never brings nothing to the party. I changed "siempre" (always) for "nunca" (never), and "algo"...
  28. M

    Can you translate this for me ?

    If you don't know about our political situation, you should read this Editorial: WSJ don't says that, the plan was aproved with 3 votes of Batasuna, an illegal party which has been proved to be ETA. This is the situation nowadays. With a stupid prime minister, our future is very dark.
  29. M

    Can you translate this for me ?

    Clausius2 no les desanimes, que vengan hombre, que no hay ZP que 100 años dure xDDDDDD. Ya sabes, en ningún sitio como en España ;)
  30. M

    Can you translate this for me ?

    NOTE: I'm going to reply the message written by fisipavia in spanish, but this is an exception ! The language for this forum is not spanish, so I will respect now and in the future... No has entendido bien lo que he dicho o no me he explicado correctamente. El español de España es el...
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