Let's start with energy. Let's say we have uncertainties dm₁, dv₁, dm2, Sv2. Given that the partial derivatives are:ӘЕӘЕzvi =m1u1?mzдогДЕJmiWhat's the uncertainty in the energy SE?-ӘЕдv-- vaz=m2 12 Now let's try it with the momentum. The necessary partial derivatives are:ӘРарOvr= miWhat's the uncertainty in the momentum SP??m-V1ӘР?uz-m2aP?mz= 02

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Let's start with energy. Let's say we have uncertainties dm1, dvi, dm2, dv2. Given that the partial derivatives are: ӘЕ =m1u1 ӘЕ дм доз ӘЕ Jm What's the uncertainty in the energy SE? ӘЕ av = m2 v2

Let's start with energy. Let's say we have uncertainties dm1, dvi, dm2, dv2. Given that the partial derivatives are: ӘЕ =m1u1 ӘЕ дм доз ӘЕ Jm What's the uncertainty in the energy SE? ӘЕ av = m2 v2

Modern Physics

3rd Edition

ISBN:9781111794378

Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Chapter5: Matter Waves

Section: Chapter Questions

Problem 19P

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Question

Let's start with energy. Let's say we have uncertainties dm₁, dv₁, dm2, Sv2. Given that the partial derivatives are:
ӘЕ
ӘЕ
zvi =m1u1
?mz
дог
ДЕ
Jmi
What's the uncertainty in the energy SE?
-
ӘЕ
дv
-
- vaz
=
m2 12

Now let's try it with the momentum. The necessary partial derivatives are:
ӘР
ар
Ovr
= mi
What's the uncertainty in the momentum SP?
?m
-
V1
ӘР
?uz
-
m2
aP
?mz
= 02

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