Key: An electron is a wave as well as a matter. The wave nature of it is described by de Broglie's matter wave. The mathematical representation of this wave is called wavefunction. Its time evolution is described by Schrodinger eqn.

Ans: Assume that you are going to do an experiment wherein you will find the position of an electron. Before doing your experiment you have calculated the probability of finding the electron at x as 0.9. Until you do your experiment the electron is in a linear combination of all possible position eigenstates (x, x', x'',...). And the probability of each eigenstate is different (For x it is 0.9).

Since the electron can be represented as its matter wave (wavefunction), which is nothing but a linear combination of these position eigenstates, you may understand that wavefunction (electron) is extended everywhere.

Now when you do your measurement, this wavefunction collapses to one of its eigenstates (this is a postulate of QM) and you 'see' the electron. When you finish your experiment again the electron goes back to its linear combination state.

Key: An electron possesses properties of both wave and matter. The wave nature of it is described by de Broglie's matter wave. The mathematical representation of this wave is called wavefunction. Its time evolution is described by Schrodinger eqn.

Ans: Assume that you are going to do an experiment wherein you will find the position of an electron. Before doing your experiment you have calculated the probability of finding the electron at x as 0.9. Until you do your experiment the electron is in a linear combination of all possible position eigenstates (x, x', x'',...). And the probability of each eigenstate is different (For x it is 0.9).

Since the electron can be represented as its matter wave (wavefunction), which is nothing but a linear combination of these position eigenstates, you may understand that wavefunction (electron) is extended everywhere.

Now when you do your measurement, this wavefunction collapses to one of its eigenstates (this is a postulate of QM) and you 'see' the electron. When you finish your experiment again the electron goes back to its linear combination state.

Key: An electron is a wave and this wave is called de Broglie's matter wave. The mathematical representation of this wave is called wavefunction. Its time evolution is described by Schrodinger eqn.

Ans: Assume that you are going to do an experiment wherein you will find the position of an electron. Before doing your experiment you have calculated the probability of finding the electron at x as 0.9. Until you do your experiment the electron is in a linear combination of all possible position eigenstates (x, x', x'',...). And the probability of each eigenstate is different (For x it is 0.9).

Since the electron can be represented as its matter wave (wavefunction), which is nothing but a linear combination of these position eigenstates, you may understand that wavefunction (electron) is extended everywhere.

Now when you do your measurement, this wavefunction collapses to one of its eigenstates (this is a postulate of QM) and you 'see' the electron. When you finish your experiment again the electron goes back to its linear combination state.

Key: An electron is a wave as well as a matter. The wave nature of it is described by de Broglie's matter wave. The mathematical representation of this wave is called wavefunction. Its time evolution is described by Schrodinger eqn.

Ans: Assume that you are going to do an experiment wherein you will find the position of an electron. Before doing your experiment you have calculated the probability of finding the electron at x as 0.9. Until you do your experiment the electron is in a linear combination of all possible position eigenstates (x, x', x'',...). And the probability of each eigenstate is different (For x it is 0.9).

Since the electron can be represented as its matter wave (wavefunction), which is nothing but a linear combination of these position eigenstates, you may understand that wavefunction (electron) is extended everywhere.

Now when you do your measurement, this wavefunction collapses to one of its eigenstates (this is a postulate of QM) and you 'see' the electron. When you finish your experiment again the electron goes back to its linear combination state.