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In Science

The wave function is used to describe the electronic state of a molecule. You then use operators (such as the hamiltonian) to get physical relevance such as momentum or energy…. For proofs and such just consult any physical chemistry text book. When the wave function is squared (that is multiplied by its complex conjugate) it gives the probability of finding the object that is described at any given location. (MORE)

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List of the characteristics a well-behaved wave function are ..The function must be single-valued; i.e. at any point in space, the function must have only one numerical value.…The function must be finite and continuous at all points in space. The first and second derivatives of the function must be finite and continuous.The function must have a finite integral over all space. (MORE)

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The question itself is controversial, as we're not sure if the observer has anything to do with the wave collapse. However, once the ability to observe (or interact) with a gi…ven particle is enabled, the wave-function or probability wave of that particle peaks, or collapses into a finite quantity. As said, we're not sure if a conscious observer has anything to do with it, or if it has to do with physical interactions in and of themselves. Another opinion: The observer has nothing to do with the collapse of the wave function. It is the measurement acting on the the wave function that does the collapsing. The part about which we are uncertain (we, as in physicists) is whether nature performs the measurement before we do and we get the result, or if nature leaves the wave function as a superposition until we measure it. This is the fundamental question of Schrodinger's cat in a box paradox. (MORE)

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In Science

Type your answer here... the wave function associated with the particle , and it is must be single valued of position and time , when two values are found that means the parti…cle exists in two different places , which is impossible yet (MORE)

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In Science

The requirement on a wave function is not that it has to be finite but that it has to be finite when integrated over all of space, although the first usually follows from the …second (there are exceptions). This is because integrating a wave function over a region of space gives a measure of finding the particle (or whatever the wave function describes) in that region of space. Now, one would reasonably expect that if one would integrate over all of space one would find a finite answer. This is because the chance to find the particle somewhere should be 100%. If the integral is infinite this means the chances of finding the particle are also infinite, which is not a sensible concept in chance theory. (MORE)

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In Technology

due to the charging of capaitor with the rise in voltage and discharging of capacitor with the fall, the change voltage across it (which is also the ouput voltage of the recti…fier) is gradual and not abrupt. So, if you put a capacitor with sufficient time constant (RC), the output of the rectifier will more or less be a steady DC voltage. (MORE)

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In Science

A simple wave function can be expressed as a trigonometric function of either sine or cosine. lamba = A sine(a+bt) or lamba = A cosine(a+bt) where lamba = the y value of the …wave A= magnitude of the wave a= phase angle b= frequency. the derivative of sine is cosine and the derivative of cosine is -sine so the derivative of a sine wave function would be y'=Ab cosine(a+bt) """"""""""""""""""" cosine wave function would be y' =-Ab sine(a+bt) (MORE)

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psi is a complex numbers so its square will be negative(i^2=-i).. we take modulus of psi^2..as probability cannot be negative..

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20c + 5 = 5c + 65 Divide through by 5: 4c + 1 = c + 13 Subtract c from both sides: 3c + 1 = 13 Subtract 1 from both sides: 3c = 12 Divide both sides by 3: c = 4 20c + 5 = 5c …+65 20c - 5c= 65 - 5.
15c = 60.
15c/15 = 60/15.
c = 4 (alternative method). (MORE)

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In Science

Pretty much the same thing as when ANY type wave activity overlaps. If a fluid wave from one source meets up with wave in the same fluid, but from a different sour…ce, you have overlapping waves. The result can be interference, both destructive and constructive. The same thing happens when you have EM waves (ie, light) coming from two different sources. This can happen if the EM radiation has a wavelength of one meter (ie, radio waves) or one angstrom (x-rays), or anything in between. Erwin Schroendinger hypothesized the usefulness (existence?) of a wave function, which can be used to accurately predict the behavior of sub-atomic particles. It has been found that, when predicting such behavior, one can assume that this wave function also acts like a fluid wave or a EM wave. You can accurately predict maxima and minima of the probability of an electron, over time, reaching a specific point in space given two possible paths for that electron. Simply assume that the two possible paths of the electron are like sources of this wave function, then assume the two wave functions overlap (just like other waves), and then do the math -- and, at the end, you have an accurate prediction of the probability that an electron will reach somewhere. Scientists still debate just what this MEANS -- is this wave function something REAL, or just a mathematical trick that just happens to work? No matter what the case, assuming an overlapping wave function is like other overlapping waves, allows us to predict what will happen. (MORE)