- #1
fahd
- 40
- 0
hi there..i am stuck wid these 2 problems from the subject mathematical methods for physicists and the topic is "linear vector spaces"
Q1) If S={|1>,|2>,...|n>} is a basis for a vector space V, show that every set with more than n vectors is linearly dependent? (where |> is a dirac bracket)
Q2)Show that the differential operator
p=h/i (d/dx)
is linear and hermitian in the space of all deifferentiable wave functions
[phi(x)] that, say, vanish at both ends of an interval (a,b)?
i am totally confused with these two questions..we were not taught this topic that well and they expect us to know these questions because similar ones like these wud be in the test tomrrow..please help me ..i dun want to loose marks.I ALSO KNOW THAT according to the rules..i need to show u what iv dun so far..but please understand..what do i show you..im totally confused! please revert!
Q1) If S={|1>,|2>,...|n>} is a basis for a vector space V, show that every set with more than n vectors is linearly dependent? (where |> is a dirac bracket)
Q2)Show that the differential operator
p=h/i (d/dx)
is linear and hermitian in the space of all deifferentiable wave functions
[phi(x)] that, say, vanish at both ends of an interval (a,b)?
i am totally confused with these two questions..we were not taught this topic that well and they expect us to know these questions because similar ones like these wud be in the test tomrrow..please help me ..i dun want to loose marks.I ALSO KNOW THAT according to the rules..i need to show u what iv dun so far..but please understand..what do i show you..im totally confused! please revert!