razif
Feb2-10, 03:45 AM
1. The problem statement, all variables and given/known data
\left\langle0_{x}|0_{y}\right\rangle is this orthogonal or not?
2. Relevant equations
for \left\langle1_{x}|1_{y}\right\rangle we already know that this state is orthogonal to each others because 1 state at x-axis while the others in y-axis
for \left\langle1_{x}|1_{x}\right\rangle we know that this state is not orthogonal to each others because they were in same axis
for \left\langle0_{x}|0_{x}\right\rangle we can say that this state not orthogonal to each other because both vacum state in same x-axis
3. The attempt at a solution
but for \left\langle0_{x}|0_{y}\right\rangle can we say that this state is not orthogonal to each others?because both of them are vacum state although it written that the vacum state at x-axis and vacum state at y-axis, if yes this is not orthogonal, can someone point me the reason. I just assumed that because both state are in vacum state and they can be at any axis without changing any state at that axis.
\left\langle0_{x}|0_{y}\right\rangle is this orthogonal or not?
2. Relevant equations
for \left\langle1_{x}|1_{y}\right\rangle we already know that this state is orthogonal to each others because 1 state at x-axis while the others in y-axis
for \left\langle1_{x}|1_{x}\right\rangle we know that this state is not orthogonal to each others because they were in same axis
for \left\langle0_{x}|0_{x}\right\rangle we can say that this state not orthogonal to each other because both vacum state in same x-axis
3. The attempt at a solution
but for \left\langle0_{x}|0_{y}\right\rangle can we say that this state is not orthogonal to each others?because both of them are vacum state although it written that the vacum state at x-axis and vacum state at y-axis, if yes this is not orthogonal, can someone point me the reason. I just assumed that because both state are in vacum state and they can be at any axis without changing any state at that axis.