o****u
发帖数: 1299 | |
d****i
发帖数: 123 | 2 损耗或增益 eigenvalues are in general complex. they can be real in case of
PT symmetry |
S***p
发帖数: 19902 | 3 H 不应该是hermitian 的么？本征值是实数就行啊 |
N***m
发帖数: 4460 | 4 It is effective Hamiltonian.
【在 S***p 的大作中提到】
: H 不应该是hermitian 的么？本征值是实数就行啊
|
o****u
发帖数: 1299 | 5
~~~~~~~~~~~~~~能讲得详悉一点么？给个联接什么的
eigenvalues are in general complex. they can be real in case of
【在 d****i 的大作中提到】
: 损耗或增益 eigenvalues are in general complex. they can be real in case of
: PT symmetry
|
a***r
发帖数: 594 | 6 an intuitive way to see what he means is the following:
if we crudely write the time evolution as: f(t) = f(0)*exp(iHt)
when H is real, exp(iHt) only presents a phase change, the flux: |f(t)|is
the same as |f(0)|.
when H has an imaginary part H = R+i*I, exp(iHt) has a part that is exp(-It)
, which is a real number with size greater or less than 1, depending on the
sign of the imaginary part. As a result the module of the flux |f(t)| no
longer equal to |f(0)|. We all know that means the probability to find a
quantumn particle changed. A straight forward interpretation is that the
flux is attenuated or amplified. (i.e.损耗或增益)
nothing fancy, just a intuitive picture.
【在 o****u 的大作中提到】
:
: ~~~~~~~~~~~~~~能讲得详悉一点么？给个联接什么的
: eigenvalues are in general complex. they can be real in case of
|
o****u
发帖数: 1299 | 7 一句话点醒梦中人。谢谢谢谢。
It)
the
【在 a***r 的大作中提到】
: an intuitive way to see what he means is the following:
: if we crudely write the time evolution as: f(t) = f(0)*exp(iHt)
: when H is real, exp(iHt) only presents a phase change, the flux: |f(t)|is
: the same as |f(0)|.
: when H has an imaginary part H = R+i*I, exp(iHt) has a part that is exp(-It)
: , which is a real number with size greater or less than 1, depending on the
: sign of the imaginary part. As a result the module of the flux |f(t)| no
: longer equal to |f(0)|. We all know that means the probability to find a
: quantumn particle changed. A straight forward interpretation is that the
: flux is attenuated or amplified. (i.e.损耗或增益)
|
