Lecture 3 | Modern Physics: Classical
Mechanics (Stanford)
Stanford
The laws of physics all have a common theme to them and the
common form is the principle of least action.. metamora are that
whose underlying nature it is is that the laws of physics derive
from a principle.. The first theorem is the integrate the theorem
of integration by parts. Most of you probably know about
integration by. parts. the definite integral from T1 to t2 of a
derivative is just the difference of the function f at the two end
points of integration F 2 minus f at t 1 the easiest way to see this
is just to just to think about what the integral of a function is. It 's
the sum of little incremental values' whenever you write an
integral there always has to be a d something the fp t is just a
function. I wo n't comment on whether it 's a stupid. Question but
I will say please ask me questions like that you know when you
get the little confused about something like that just stop me and
slow me down..
No matter what function you put here? If you multiply it by a and
you integrate it you get zero. the easy way to see that is say if it
's true for any function. Let's check that a of T has to be 0 at
some specific point. the big one is the relationship between the
principal instax camera, which is a global statement. a trajectory
or a history of a system is a trajectory as a function of t of all of
the cubes the cubes being the coordinates. In other words, it 's a
set of functions Q1 of 61 of T2 of T3 of T.. The other way of
describing the laws of physics is through a global closed global
global formulation, which looks at the whole trajectory and says,
there 's some quantity called the action, which is dependent on
the trajectory, which is minimized. For the true trajectory. there
is a relationship between the global laws and the local laws in
particular. If I give you the law of physics. In the form of a least
action principle, we should be able to derive from it. A differential
equation which describes an analogous data equals ma that 's
what I want to do now All right. It 's a few steps involved..
shifted that 's what will happen it will be shifted at each point t.
shifted. the new trajectory depends on alpha and in general,
Mechanics (Stanford)
Stanford
The laws of physics all have a common theme to them and the
common form is the principle of least action.. metamora are that
whose underlying nature it is is that the laws of physics derive
from a principle.. The first theorem is the integrate the theorem
of integration by parts. Most of you probably know about
integration by. parts. the definite integral from T1 to t2 of a
derivative is just the difference of the function f at the two end
points of integration F 2 minus f at t 1 the easiest way to see this
is just to just to think about what the integral of a function is. It 's
the sum of little incremental values' whenever you write an
integral there always has to be a d something the fp t is just a
function. I wo n't comment on whether it 's a stupid. Question but
I will say please ask me questions like that you know when you
get the little confused about something like that just stop me and
slow me down..
No matter what function you put here? If you multiply it by a and
you integrate it you get zero. the easy way to see that is say if it
's true for any function. Let's check that a of T has to be 0 at
some specific point. the big one is the relationship between the
principal instax camera, which is a global statement. a trajectory
or a history of a system is a trajectory as a function of t of all of
the cubes the cubes being the coordinates. In other words, it 's a
set of functions Q1 of 61 of T2 of T3 of T.. The other way of
describing the laws of physics is through a global closed global
global formulation, which looks at the whole trajectory and says,
there 's some quantity called the action, which is dependent on
the trajectory, which is minimized. For the true trajectory. there
is a relationship between the global laws and the local laws in
particular. If I give you the law of physics. In the form of a least
action principle, we should be able to derive from it. A differential
equation which describes an analogous data equals ma that 's
what I want to do now All right. It 's a few steps involved..
shifted that 's what will happen it will be shifted at each point t.
shifted. the new trajectory depends on alpha and in general,
