Quantum mechanics

[navid]

چرا در مکانیک کوانتمی عملگر زمان وجود ندارد؟
این سوالیه که ذهن منو یه مدت به خودش مشغول کرده بود.بد نیست شما هم روش
فکر کنید.

[aristotle.de.bagdad]

salam
man fekr mikonam shoma baysti bedonid operatorha dar vage
moshahedepazirha(observable)va baraye observable ha operator tarif
mikonim. time mamoolan yek parameter be hesab miad be jaye inke yek
observable be hesab byad. ba inhal mishe time ro be soorate operator
tarif kard va yek chize digari ro parameter gereft. Bazi vaghtha
majboorand in kar ro bokonand:
It is possible to formulate mechanics in such a way that time becomes
itself an observable associated to a self-adjoint operator. At the
classical level, it is possible to arbitrarily parameterize the
trajectories of particles in terms of an unphysical parameter s, and
in that case the time t becomes an additional generalized coordinate
of the physical system. At the quantum level, translations in s would
be generated by a "Hamiltonian" H − E, where E is the energy operator
and H is the "ordinary" Hamiltonian. However, since s is an unphysical
parameter, physical states must be left invariant by "s-evolution",
and so the physical state space is the kernel of H − E. This is
related to quantization of constrained systems and quantization of
gauge theories. It is also possible to formulate a quantum theory of
"events" where time becomes an observable.
mitonim dar ein mord bahs konim