big_bounce said:
I have still problem with that ,
A apple is not only red or yellow it has other properties . so we can not say electron is only energy
Nobody does - we say that "mass" and "energy" are the same thing.
The mass-energy equivalence is something Einstein
did demonstrate and it is fundamental to modern physics.
(Though: in Grand Unified Theories, the apple and the electron and energy are all thought to be aspects of the same super-object.)
In physics energy has define and it's capacity to do work
... rest-energy is available to do work too.
Energy hasn't spin or charge and can not travel through spacetime .
A wave can travel through spacetime .
energy can and does travel through space in a number of forms - the concept of "travel" is tricky to apply to "space-time".
Photon carry energy and after absorption phenomena electron carry energy of photon after destroyed photon .
A photon can pair-produce to make an electron and a positron ... the total kinetic energy of the e-/e+ pair is less than the photon's energy: where did it go?
When a neutron joins a hydrogen atom to make deuterium, the mass of the duterium is less than the sum of the hydrogen and the neutron masses. Where did it go?
http://en.wikipedia.org/wiki/Binding_energy#Mass-energy_relation
So it's not easy say they are same things .
We have been converting energy to mass and back again for decades (deliberately since 1939 - re. Cockroft & Walton). So it is pretty easy actually. It is harder to accept though, since it flies in the face of daily experience.
electron and photon are wave-particle and have wave function in quantum field theory.
If you are referring to wave-particle duality - they are all particles. This is why the field is called "particle physics". There is a wave-formulation of the theory though. What we detect, though, is particles.
can we consider energy a wave and have wave function ?
It is possible to have a wave of energy - just like you can have a wave of position or pressure or probability.
A wave-function is a wave
of probability (amplitude). You will never find a probability amplitude in nature though they are very useful for predicting the distributions of particles - which you
can detect - as well as many properties such as position, momentum, and kinetic energy. The wave-function for an electron is, however, not the same as an "electron wave".
The energy-eigenvalue of a particle in a box (say) is it's kinetic energy. It also has energy stored as spin, and in it's EM field, and as mass which may be released in, for example, nuclear reactions.
See:
http://plato.stanford.edu/entries/equivME/#4
... mass-energy equivalence: experimental verification
http://vega.org.uk/video/subseries/8
... Feynman on wave-particle duality (in QED) ... to give you an idea how I can say that they are all particles even though there are wave formulations of the theory.