While studying Schrödinger's equations of wave, I had this question:
This equation deals with waves, right then, can we apply it in the case of electromagnetic wave, but the equation deals with one particle system. What does this mean?
-Matter wave is represented by de-Broglie relation(particle-wave duality),
-EM wave is represented by Maxwell's equations(electromagnetic form of energy),
-Schrodinger's equation wave is interpreted by Born as its absolute square represents probability of finding the system in some region of space
Thus you have THREE different kinds of waves...
Particle is not wave and wave is not particle, but they both have some common characteristics like wave behavior of particle(diffraction of electrons) and particle behavior of of photon(Compton effect)
Schrodinger equation solution gives probability of finding particle of atomic system in some space with specific energy(the well-known four quantum numbers;principal,orbital,magnetic,spin)
-Matter wave is represented by de-Broglie relation(particle-wave duality),
-EM wave is represented by Maxwell's equations(electromagnetic form of energy),
-Schrodinger's equation wave is interpreted by Born as its absolute square represents probability of finding the system in some region of space
Thus you have THREE different kinds of waves...
Particle is not wave and wave is not particle, but they both have some common characteristics like wave behavior of particle(diffraction of electrons) and particle behavior of of photon(Compton effect)
Schrodinger equation solution gives probability of finding particle of atomic system in some space with specific energy(the well-known four quantum numbers;principal,orbital,magnetic,spin)
I am confused by the term 'photo-electron'. photo-electrons are the electrons emitted from matter as a consequence of absorbtion of of energy from electromagnetic radiation of very short wavelength, such as visible or ultraviolet radiation.
There is nothing like saying "electromagnetic wave of a photo-electron";
You can say electromagnetic wave of vibrated or accelerated electron,
You can say ejected photo-electron of light-excited atom,
You can say also Auger-electron of internal x-ray of atom...
@"photo-electrons are the electrons emitted from matter..."
There is a lot of elaboration here, depending on ionization energy of electron or work function and energy of incident photon, provided dealing with matter(soft or solid) is not like dealing with atoms or molecules...
Thus,Interaction b/w electron and photon has many forms...
Thank you for replying Sir,,,And Sir, Is there "Photo-electron", if yes then is it in the form of light, if yes light is an electro-magnetic radiation right??? Am I in the correct track...If I am wrong for all,,, Then What is the difference between matter wave and electromagnetic wave???
Wave function is a complex function...you cannot plot it on a real number graph, but its absolute square represents probability of finding electron in some specific region of space, this you can plot...
If you first google a little bit for these basic terms, you can then post clearer and deeper questions...
the wave associated with a particle in a motion is called matter wave
in the case of electromagnetic waves, the electro-magnetic field varies in space and time.
similarly in case of matter waves, wave function is a quantity which varies in space and time.
A wave function or wavefunction is a probability amplitude in quantum mechanics describing the quantum state of a particle and how it behaves.
in simple words, a wave function represents the state of a particle.
it is not only a simple function to plot a wave-form in a graph.
moreover, we are more interested in the square of wave-function. simple wave-function is Ψ is a complex number. (Ψ)^2 is real. it corresponds to probability density of finding the particle in a given place at a given time.
to get more proper info about wave function and matter waves please refer following books.
Hi Apoorva Bhatt,, What is the physical meaning of a complex number... (x+iy) is what, and the imaginary term denotes which quantity...
And Niz NI Sir, I was just interested in knowing a little bit about the basic terms... If google gave me a clear cut details about all these basic terms, there is no need for me to ask in this RG...And thank you for replying...
Studying Schrodinger equation solution for particle in a box can give good "starting" point for understanding wave function with its two parts real and imaginary...
Then solutions with harmonic oscillator and rigid rotor will show clearly exact solutions...
To appreciate mathematical concept for physics its better start doing some solved simple examples
An old quotation"asking meanings from words leads to astray!"
..."Then What is the difference between matter wave and electromagnetic wave???"...
The answer simply is: matter wave is the wave function of a material particle (such as electron, proton, ...)
Electromagnetic wave is the wave function of the photon (a particle with zero rest mass).
From reading basic quantum mechanis texts one would come to think that things must be not so simple since
one may read 'there is no such thing as a wave function of a single photon'. Actually the elctromagnetic fields we know from everyday live consist of a huge number of photons wheras material particles, when described by the textbook version of Schroedinger's equation are single particles. Single particles are natural for fermions (other important category you should look up in Wikipedia) wheras huge herds are natural for bosons (twin notion to fermions ).
Notice: I have not tried to tell you what a wave function is, after all. The Wikipedia citation of Niz NI is OK for
a physicist, and in part certainly also for a layman.
Different topic: I understand people who try to get the essence of physics without going through the conventional process of learning these things. The internet offers possibilities which I could only have dreamed of in my youth.
However, it is difficult not to become loaded with a 50/50 mix of understanding and misunderstanding (perhaps 20/80 is more realistic) that way.
Ulrich Mutze@"However, it is difficult not to become loaded with a 50/50 mix of understanding and misunderstanding (perhaps 20/80 is more realistic) that way"
This is why I use the term "practical understanding" in a sense can manage available problems, but when it comes to understanding "essence" of a concept NO boundaries there...the deeper one looks the more questions he gets...
Inigo, matter wave of an electron is lambda = (h-bar)/(mv), while a photon is absorbed totally by an electron. The electron obtained in this manner is called photo-electron. The first electron has a wave-length = (h-bar)/p, where p it is its momentum, if at rest p=0, but (Ee)^2 = (p^2)c^2 + (m0)^2(c^4), if p=0 =>E=m0c^2, but the photo-electron energy (Eph-e)^2=(p^2)c^2 + (m0)^2(c^4) + (Eph)^2, where Eph is the energy of the photon absorbed => (Eph-e)^2 = (m0)^2(c^4) + (Eph)^2
Therefore, they difference is Eph-e > Ee and lambda(e) ->infinite, lambda(ph-e) = finite