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The laughing smilies are after your (user)name... :tongue2:
Daniel.
P.S.I don't find "marlon" to be that funny...However,"de gustibus..."
Daniel.
P.S.I don't find "marlon" to be that funny...However,"de gustibus..."
gptejms said:I haven't read all the posts here,but answering the first post,Schrodinger equation can be justified very well if not derived.After all it didn't drop from the sky.Try a solution like cos(kx-wt),try satisfying E=p^2/2m--you can't.Try exp(i(kx-wt)--you can,you know the eqn.
Besides,any eqn. like \del^2 \psi/\del x^2 = (k^2/w^2) \del^2 \psi/\del t^2 is not a good candidate because it involves k,w in the equation--so does not admit superposing plane waves of different k(i.e. a wavepacket which De Broglie showed mimicked a particle).
I somehow disagree, but I think our disagreement is just a matter of vocabulary. To me, you "demostrate" something from a more fundamental set of axioms, if you can't you "postulate" it and then you "confirm" it's validity with experiments. In other words, "demostrations", to me, are purely theoretical, so experiments don't "demostrate", the "confirm".marlon said:I have read somewhere the argument that you cannot prove the second equation of Newtion F=ma. I disagree because this was not just postulated by Newton. He did experiments and then he realized that this connection between mass and acceleration and force existed empirically.
Then you have to postulate de Broglie relationsgptejms said:I haven't read all the posts here,but answering the first post,Schrodinger equation can be justified very well if not derived.After all it didn't drop from the sky.Try a solution like cos(kx-wt),try satisfying E=p^2/2m--you can't.Try exp(i(kx-wt)--you can,you know the eqn.
BlackBaron said:Anyway, that's just my opinion, please, don't start an argument if you only disagree with my definiton of "demostration".
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BlackBaron said:Then you have to postulate de Broglie relations
The Schrodinger equation is a fundamental equation in quantum mechanics and has been extensively tested and validated through experiments. However, it cannot be proven to be true in an absolute sense. It is a mathematical model that accurately describes the behavior of quantum systems, but it is ultimately based on assumptions and approximations.
The Schrodinger equation has been used to successfully predict the behavior of a wide range of quantum systems, from atoms to molecules to complex materials. Its predictions have been confirmed by countless experiments, providing strong evidence for its validity.
The Schrodinger equation is a non-relativistic equation, meaning it does not take into account the effects of special relativity. It also does not account for the interactions between particles, such as the strong and weak nuclear forces. Therefore, it is not applicable to all physical systems and must be used in conjunction with other equations and theories.
The Schrodinger equation is a postulate in quantum mechanics, meaning it is accepted as a fundamental principle without being derived from more basic principles. However, it can be derived from the more general wave equation in certain cases, such as for a free particle in a vacuum.
The Schrodinger equation revolutionized our understanding of the microscopic world by showing that particles can exhibit both wave-like and particle-like behavior. It also introduced the concept of probability in describing the behavior of particles. Its implications have led to many new technologies and advancements in fields such as chemistry, materials science, and quantum computing.