Thursday, February 03, 2005

Habits ,Transformations and Relatedness

welcome again to my melange of thoughts.

Today was a day unlike the days gone before.As it happens sometimes i got late into class (robotics taken by Dr.G.C.Nandi ) and we learned about transformation operators in 3D (on matrices not literally) seriously the lecture emphasized the role of transformation in robotics..though a bit trivial ,i think we will handle advanced transformations in tommorow's class.

So why did i blog ,what's the special ocassion
I had my first class in quantum computing(##$$@#$@$)

even though i haven't taken it as a subject i have decided to attend the lectures as a hobby(what the #$%@ ).Well that will put me in a category of nerds(read quantum mechanics as hobby) but i think quantum mechanics is beautiful.The way some mathematical equations which have no physical significance end up making a theory so precise and yet abstract,explains the most unconvicing of nature's action so elegantly .
Reasons for attending quantum computing lectures
ever since i remember i always like to question before i believed,i learnt about life from experience and from logic.I had many questions about life and its existence some have been answered others not.The question of the fundamental building block of life is one of the questions.I believe someplaces traditional logic fails and here we require something else,i believe quantum logic is what we require .
Moreover i think quantum mechanics recognises human behavior which no other exact science can do,the idea of a consciousness is not recognised by any other branch of exact science.Some people think of quantum mechanics as a philosphy rather than a science,i believe quantum mechanics started as philosphy and so did all branches of science.
mathematics is philosphy but cause of the exactness given to it by our future generation ,it is referred to being embodied as an art and a science.I believe every endeavour in nature first studied has to be looked as an art.Our teacher for quantum computing are prof.C M Bhandari and he in his very first lecture talked of Galileo
famous quote

"to understand nature one has to understand the language it has been written,that language is mathematics"

he talked about the bane of habit which makes a man repetitious and stagnant ,he talked about Max Muller being the greatest sanskrit scholar in the 20th century,that the idea of quantum mechanics were derived from eastern thought.Heisenberg and Schrodinger are refered to as the fathers of quantum mechanics ,Heisenberg with metric mechanics and Schrodinger with wave mechanics.He talked about the importance of a fresh mind thinking from a outsider's perspective rather than a prejudiced mind.
Then the lectured transformed from pure philosphy to a pure mathematical continum.It started from vector algebra ,the relation with algebra which we define for quantum algebra (bra and ket algebra).
The ideas of the hilbert space(infinite dimensional space).let me explain
For an ant walking on a wire ,its view can be described by one dimension,for a object on a plane its position can be described by two dimension,for us humans it position can be described by three dimension.... so by hypothesis we talk of an object which can be described in n dimensions.
look at the equation

[u'] = [a][u]
where [u'] and [u] are column vectors
and a be a transformation matrix("jamais vu") but we can define it to be an operator.
we talk of a special case where
u' = u and then the equation is special or eigen in german
Gu =E u is an example of eigen equation and E is an constant and G is an opertor.
Sir talked of importance of a trace of a matrix and proved that trace of matrix A is same as A'
for y= Ax
wonderful beginnning and what's more he gave me a book to read.Those who are interested in quantum mechanics can go through feynman lectures in physics vol 3 (can email you the copy if you don't have)
as a parting note i leave you
"though that may not be necessay we study,though it might not be necessary we feel
though marks have no relation with knowledge we get them".
thanks for this course where i get no acknowledgement ,no recognition(from the dean) and most imporant no marks

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