Lectures by Prof. Anirudh Pradan -Introductory Lectures on Tools for General Relativity .

 Ok, Ini adalah nota yang Cik Quantumna tulis di dalam seminar PrEQuaLS 4. Jika ada salah, sila lah komen....:)

PrEQuaLS4 SERIES 3 - Prof. Anirudh Pradan

Prof. Anirudh Pradan currently visiting INSPEM will begin some introductory lectures on tools for general relativity today, Monday June 14, 2010 at Bilik Seminar Al-Khawarizmi, Maths Bldg, The programme should start at 9am. For details of his lectures (and subsequent one), please see below.

 

Lecture I: Some preliminaries, Transformation of coordinates, Determinant and its differentiations, Four vectors (World vectors), Tensor Algebra-transformations of contravariant and covariant vectors, Some examples/problems with their solutions.

Lecture II: Tensor Algebra-Addition & Subtraction of Tensors, Multiplication of Tensors, Outer & Inner Product, Contraction. Some examples and problems with their solutions.

Lecture III: Symmetric & antisymmetric tensors Quotient law, Reciprocal symmetric tensor, Invariant, Relative scalars, Transformation, group property - Problems/examples and their solutions.

Lecture IV: Riemmanian Metric, Fundamental tensors, Length of curve, Associated vectors, Scalar product of two vectors, Hypersurface, Homogeneous space, Euclidean space and their properties, Examples/problems on these topics with their solutions.

Lecture V: Spherical coordinates, cylindrical coordinates & determination of line-elements, Problems/Examples and their solutions.

Lecture VI: Tensor Calculus - Christoffel symbols, Some theorems, Laws of transformations, Covariant Derivative of covariant and contravariant vectors, Covariant derivative of scalars, Geodesic, Null Geodesic, Some problems based on these topics with their solution.

All aremost welcomed.

wOW...I am really Surprised Today

Matrices Inducing Similarity Transforamations

 Full paper

Bell State for 2-Qubit

Source

Err..Er..Entanglement...Oppss...wrong :)

It 's Charging My Mood Today :)

Source : email

How to Convert Mathematica Programming to Pdf...

1. We need PDF 955, Click here to download

2.Follow the steps according the pictures below :

This is the result :)

 Second page :

Our file in pdf at deskop

PDF 955 can be used in other application  [ convert power points, word, pictures [maybe] to pdf ]....just follow the steps above :)


p/s- need to put in this blog, why?...i always forget the steps above when i need it , huhuhu

Cik Quantum's Birthday.....:)

Multi-particle entanglement in solid is a first

Jun 5, 2008

An international team of physicists has entangled three diamond nuclei for the first time. The development promotes solid-state systems to a rank of quantum systems including ions and photons that have achieved entanglement for more than two particles.

Entanglement lies at the heart of fields such as quantum computation and quantum teleportation. At its most basic level, if two particles are entangled a measurement of the state of one reveals something about the state of the other, regardless of the distance separating them.

Quantum Entangled Images

In this photo montage of actual quantum images, two laser beams coming from the bright glare in the distance transmit images of a cat-like face at two slightly different frequencies (represented by the orange and the purple colors). The twisted lines indicate that the seemingly random changes or fluctuations that occur over time in any part of the orange image are strongly interconnected or “entangled” with the fluctuations of the corresponding part in the purple image. Though false color has been added to the cats’ faces, they are otherwise actual images obtained in the experiment.

Credit: NIST
View hi-resolution image

Source : I got email (25 June 2008) from my supervisor about this, tq dr hz....here the link.

Announcement Na:) PrEQuaLS4

Trivial Subalgebra

 Source

Mathematical Description of Entanglement

Source

What is Entanglement witnesses?

From: Relations between entanglement witnesses and Bell inequalities (PHYSICAL REVIEW A 72, 012321 (2005))

1. Entanglement witnesses are operators that are designed directly for distinguishing between separable and entangled states.

[M. Horodecki, P. Horodecki, and R. Horodecki, Phys. Lett. A 223, 1 (1996),B. M. Terhal, Phys. Lett. A 271, 319 (2000),M. Lewenstein, B. Kraus, J. I. Cirac, and P. Horodecki, Phys.Rev. A 62, 052310 (2000)]

Cik Quantum's Mood For Today...Alhamdulillah.....

Announcement Na : EQuaLS4 ( 28 June- 1 July 2010 )

http://einspem.upm.edu.my/equals4/

Theme : "Cosmology, Gravitation and High Energy Physics 2010"

Date     : 28 JUNE - 1 JULY 2010

Venue : Seminar Room Al -Khawarizmi. Mathematics Building, UPM


The speakers and the title of their talks are listed below:

1. Sigbjorn Hervik (Universitetet Stavanger, Norway), "Cosmological Models for Our Universe"

2. Jiro Soda (Kyoto University, Japan), "Fine Structures of Inflationary Scenario"

3. Anirudh Pradhan (Hindu Postgraduate College, India), "Recent Developments in Gravity and Cosmology"

4. Rajesh Parwani (National University of Singapore), "Information Theory, Particle Physics and Cosmology"

5. Teo Lee Peng (University of Nottingham, Malaysia Branch), "Finite Temperature Casimir Effect"


WHO SHOULD ATTEND
All researchers and students interested in cosmology, relativity, high energy physics and related areas of mathematics and theoretical sciences.

Malay Version : Teori relativiti Albert Einstein

"APABILA lelaki duduk bersama gadis cantik selama satu jam ia bagaikan satu minit. Tetapi apabila duduk di atas dapur panas selama seminit ia seperti satu jam. Itu relativiti," demikian kata Albert Einstein mengenai teori relativiti.


Tahun 1905, merupakan annus mirabilis (tahun keajaiban) buat Einstein apabila beliau membangunkan teori relativiti - satu penerangan bahawa hubungan antara masa dengan ruang mencabar pandangan umum seperti yang diterima sejak zaman Sir Isaac Newton, 200 tahun sebelum itu. Siri penemuan saintifik beliau turut menggegarkan dunia fizik pada tahun tersebut termasuk kesan cahaya elektrik (fotoelektrik), gerakan Brown dan persamaan jisim dan tenaga. Lebih membanggakan, penemuan fotoelektrik tersebut melonjakkan nama Einstein apabila memenangi hadiah Nobel Fizik pada tahun 1921 yang merupakan anugerah teragung dalam bidang sains.Penemuan itu memberi kesan terhadap perkembangan tamadun manusia apabila ia diaplikasikan untuk membuat televisyen dan pelbagai peralatan elektrik serta elektronik hari ini.Begitupun, teori relatif khas menggabungkan tenaga dan jisim dengan formula E=mc2 iaitu persamaan jisim tenaga lebih dikenali masyarakat dunia serta sering digunakan untuk pelbagai tujuan.

Menghidap asperger

Anak lelaki pasangan Hermann dan Pauline Einstein berbangsa Yahudi itu dilahirkan pada 14 Mac 1879 di Ulm, Baden Württemberg selatan Jerman dengan masalah sukar bertutur sehingga berusia tiga tahun. Keadaan itu mungkin menyebabkan beliau banyak berimaginasi ketika kecil.

Beliau yang menghidap sindrom asperger, sejenis penyakit berkaitan autisme sama sekali tidak menghalangnya berkelakuan seperti kanak-kanak biasa.
Sewaktu mencecah usia lima tahun kanak-kanak istimewa itu jatuh sakit dan terlantar di atas katil sebelum bapanya menunjukkan kompas poket magnetik yang berjaya membuatkannya terpukau dengan jarum kompas itu.Beliau sangat teruja dengan jarum kompas yang sentiasa menunjuk ke arah utara walaupun ia diterbalikkan dan yakin bahawa terdapat sesuatu yang menarik di sebalik keajaiban tersebut.

Sejak itu, pelbagai persoalan timbul dalam fikiran Einstein mengenai keajaiban jarum kompas berkenaan dan ingin mencari jawapan mengenainya.

Kejadian itu dipercayai detik permulaan kecenderungan Einstein dalam menguasai bidang sains fizik sehingga berjaya mengukir nama menjadi 10 daripada 100 Tokoh Berpengaruh Dalam Sejarah Dunia.


Ibunya, Pauline merupakan pemain piano terkenal dan ingin anaknya menyukai muzik. Dia mengajar Einstein meminati instrumen biola ketika berumur enam tahun tetapi beliau tidak menggemarinya. Bagaimanapun, apabila mendengar hasil karya Mozart ketika berumur 13 tahun, beliau kembali bermain biola sehingga akhir hayatnya.Beliau yang mendapat pendidikan awal di Sekolah Luitpold, Munich, Jerman pada 1888 sebelum berpindah ke Sekolah Katolik Aarau, Switzerland merupakan pelajar cemerlang dalam matapelajaran sains dan matematik tetapi tidak berjaya dalam sastera.Einstein menerima diploma perguruan dari Institut Politeknik Persekutuan Zurich, Switzerland pada tahun 1900 dan berjaya mendapat ijazah doktor falsafah (Ph.D) dari Universiti Zurich pada tahun 1905.

Sebelum beliau mengecapi kegemilangan dalam bidang sains fizik dan matematik, anak pertama daripada dua adik-beradik itu hanya seorang penolong teknikal di pejabat paten di Bern, Switzerland serta banyak menghasilkan kajian berhubung sains fizik.

Ikon dunia fizik yang memiliki rambut kusut masai berwarna putih itu mendirikan rumah tangga bersama Mileva Maric kelahiran Titel, Novi Sad, Serbia pada tahun 1903 dan dikurniakan dua orang anak lelaki iaitu Hans dan Eduard Albert.

Bagaimanapun, sebelum berkahwin pasangan tersebut mempunyai seorang anak luar nikah perempuan, Lieserl Albert yang dilahirkan pada tahun 1902. Einstein tidak pernah bertemu dengan bayi tersebut dan sehingga hari ini ia menjadi misteri serta tiada catatan terperinci tentang keadaan Lieserl.
Hans pula menjadi seorang profesor dalam kejuruteraan hidraulik di Universiti California, Berkeley, Amerika Syarikat (AS) manakala Eduard menghidap skizofrenia dan meninggal dunia pada tahun 1965.

Einstein begitu mengagumi keperibadian Mileva yang mampu berdikari dan tinggi intelektual.
"Makhluk yang sama taraf dengan saya dan kuat serta berdikari seperti saya," kata Einstein mengenai isterinya. Namun, mahligai indah bersama Mileva hanya mampu bertahan selama 16 tahun sebelum beliau mengahwini sepupu terdekatnya, Elsa Einstein Löwenthal pada tahun 1919. Kemasyhuran Einstein mengakibatkan beliau sering didampingi wanita.

EINSTEIN (dua dari kiri) pernah ditawarkan menjadi presiden Israel kerana kepintarannya.

Tukar kerakyatan AS

Pada tahun 1933, beliau dituduh Rejim Parti Pekerja-Pekerja Jerman Sosialis Nasional kerana dikatakan berniat mencipta fizik Yahudi yang berbeza dengan fizik Jerman iaitu fizik Arya.

 Disebabkan perbezaan pendapat tersebut, Einstein melepaskan kerakyatan Jerman dan berhijrah ke AS untuk menjadi profesor di Princeton, New Jersey serta menerima kewarganegaraan AS pada tahun 1940.
Dalam pada itu, atas nasihat seorang ahli fizik, Leo Szilard, beliau mengirim surat kepada Presiden AS ke-32, Franklin Delano Roosevelt pada tahun 1938 agar menyelidik mengenai nuklear bagi kegunaan tentera kerana bimbang kerajaan Nazi di bawah pimpinan Adolf Hitler membangunkan senjata atom.

Kehidupan penuh liku dan masyhur Einstein menemui penghujung tepat pukul 1.15 pagi, 18 April 1955 di Hospital Princeton di New Jersey. Meninggal dunia pada usia 76 tahun, mayat beliau dibakar pada hari yang sama tanpa sebarang adat istiadat di Trenton, New Jersey mengikut hasratnya.

Ahli patologi yang melakukan autopsi terhadap mayat Einstein, Dr. Thomas Stoltz Harvey bagaimanapun menyimpan dan mengawet otaknya. Dalam masa empat dekad, otak saintis tersohor dunia itu dipotong kepada 200 keping oleh beliau untuk diberi kepada para pengkaji membuat kajian.

Pada tahun 1998, Harvey memulangkan semula otak berkenaan kepada ahli patologi Princeton sebelum beliau meninggal dunia.Legasi dan teori-teori Einstein terus diingati serta dipraktikkan sehingga hari ini.

Bagi memperingati Einstein sempena ulang tahun kelahirannya pada tanggal 14 Mac, Akademi Sains dan Kemanusiaan di Jerusalem, Israel akan memaparkan manuskrip asal ahli fizik tersohor itu.

Sumber dan akhbar KOSMO sabtu 13 Mac 2010 Rencana Utama

Surviving the PhD Viva-an External Examiner's Perspective

Click here

Preparing for the Research Viva

This page contains information of value to research students, no matter what their specific discipline. The documents were originally prepared for a doctoral student course at Warwick Business School, in 1997. It has since been modified as a self-contained document, with accompanying Powerpoint presentation, for individual reflection and preparation.
The presentation is based on my own experience of preparing for my PhD viva in 1996. Advice comes in the form of my own reflections and those from of others at Warwick . The presentations provide some thoughts on how to prepare yourself.

DOWNLOAD ...

■Acrobat phdviva.pdf (40K) for the document, and

■Powerpoint phdviva.ppt (150K) for the slideshow.

see this link : An PhD Viva- An Oral Examination
p/s- the other link....click here

Workshop on Modern Methods of Mathematical Physics

Assalamualaikum dan Salam Sejahtera,


We are pleased to inform that the Laboratory of Computational Sciences & Informatics, Institute for Mathematical Research, Universiti Putra Malaysia will be organizing Workshop on Modern Methods of Mathematical Physics, 29-31 March 2010. The workshop will cover topics from basic introduction of problems of mathematical physics until to research-level topic of spectral expansion of distributions. Fifteen lectures will be delivered by Prof. Abdumalik Rakhimov in this workshop. For details, please go to http://einspem.upm.edu.my/M3P/

Due to limited places, please register early for the workshop. Kindly extend the publicity of this event to your interested colleagues, friends and students.

Thanking you in advance for your attention and support.

Sincerely

------------------------------------------------------------

Assoc. Prof. Dr. Hishamuddin Zainuddin

Head, Laboratory of Computational Sciences & Informatics

Institute for Mathematical Research

and

Coordinator, Theoretical Physics Group

Physics Department, Faculty of Science

Universiti Putra Malaysia

Tel: +603-8946 6655

Fax: +603-8942 3789

Wow..I get Something From Facebook

eRR...from another my account Facebook :). See this.....

 XMind is the world's coolest brainstorming and mind mapping software and the best way to share your ideas.

See this link : http://www.xmind.net/

Announcement : Join Me in Kuala Lumpur, March 13th!

From my email :)

Hi!
I'm excited because soon I will come to Kuala Lumpur to do a big Effortless English Workshop!
I hope you will come to the Workshop and meet me! The Workshop is March 13th.
The Workshop is a powerful event that will increase your English speaking speed and confidence. You'll learn powerful techniques to improve your English speaking fast!
And you will have a lot of fun-- NO boring English classes :)
To get tickets for the Workshop now, contact Joanna at: jc@infinitevents.com.my

or call +6016 2524777

Hurry and get your tickets now!
See you in Malaysia soon!!
AJ Hoge

Effortless English

http://EffortlessEnglishClub.com

Google Docs :Qutrits and Tensor Product of SU(3)

i am posting my documents using google docs...this is results, but errr, i need to change my template! otherwise, my equations cannot be review.huh!
and, after i log out,all equation cannot be review..ermmm

Qutrits and Tensor Product of

By

SITI NURUL ‘AIN BINTI ZAITON

December 2009

Chair              : Associate Professor Hishamuddin Zainuddin, PhD

Institute          : Institute for Matematical Research

The simplest extension from qubit is qutrit. One qutrit can be represented as density matrices using generators of   i.e. the eight Gell Mann matrices and the unit   matrix. Two qutrits give rise to nine-level systems whose complete description involves 81 operators including the identity operator. The aim of this work is to obtain the Lie algebraic structure for two qutrits involving  .

By applying tensor product of Gell-Mann matrices, we construct explicit matrix representations of the generators for  . These results will be used to compute commutator Lie algebra of . The complete table of the commutator Lie algebra of   is constructed by simplifying their expressions in terms of the tensor product basis operators of   . We verify not all commutators can be simplified directly to single individual operators, i.e. they involve linear combination of tensor product basis operators of  .

In this work, the complete table of commutator algebra of   can serve the purpose of identifying Lie subalgebras. The trivial  algebra is easily identifiable but the nontrivial  and other subalgebras will require further work. We have also included the case for two qubit studied by Rao et al. in which the trivial and nontrivial subalgebras  are identified. We made small corrections to their results.

Google Docs : Complete about Google Docs

http://www.google.com/google-d-s/whatsnew.html

Google Docs: Posting to your blog

Continue from this post,

Google Docs supports posting documents to most of the popular blog sites, as well as to any blog that supports the Blogger, metaWeblog or MovableType APIs.

To specify your blog settings, and instruct Google Docs to publish to the blog of your choice, follow these instructions:

1.Click Settings in the upper right corner of your Docs list page.

2.Select edit info in the Blog settings section.

3.Enter the requested information (blog provider, username/password, blog ID and title), and click .

How to Download and Save Videos Directly from Youtube, Google, Metacafe..etc?

1. Copy the URL video that you want download it

Example:

2. Then go to this link : http://keepvid.com/

3. then click to download.

p/s- the other way to download the video besides using YouTube Downloader...hehe

Steve Jobs

See the video : http://www.youtube.com/watch?v=UF8uR6Z6KLc


Full text of the Commencement address by Steve Jobs, CEO of Apple Computer and of Pixar Animation Studios, delivered on June 12, 2005.

If Interested to have eBook : The Lie Algebra su(N), An Introduction

Please fill this form, then ebook  will be sent automatically to you for free by e-mail attachment.

Click Here

How to Overcome Fear of Public Speaking: Be a Confident Speaker

Public Speaking

Killer Presentation Skills