Discover a world full of books!
Add this book to bookshelf
Grey
Write a new comment Default profile 50px
Grey
Read online the first chapters of this book!
All characters reduced
Hawking Radiation 2 - cover

Hawking Radiation 2

Roman Andie

Publisher: Lighthouse Books for Translation and Publishing

  • 0
  • 0
  • 0

Summary

One must bring in some basic notions of quantum theory if one wants to reduce de- and reconstruction to quantum physics. The key mathematical fact is that in quantum theory each particle in many-particle state corresponds to a tensor factor of state space of the entire system. This notion is very difficult to explain without actually having a lecture series about quantum theory and I prove in the following that this is indeed the case.
 
1.	The space of quantum states of system is the basic notion: technically it is known as Hilbert space, which can have finite or even infinite dimension and also infinite dimension (and this in many senses!).
 
The basic idea is that one can build bigger Hilbert spaces as their tensor products. If you have Hilbert spaces of dimensions n1 and n2, the tensor product has dimension n1× n2. This is algebraically like multiplying numbers and one can indeed identify prime Hilbert spaces as those with prime dimension. Also direct sums of Hilbert spaces are possible.
 
Hilbert spaces represent physical systems: say electron and proton. To describe a world consisting of proton and electron one forms the tensor product of electron and proton Hilbert spaces. This is somewhat like playing with legos.
 
I was cheating a little bit. Life is not quite so simple. One can also form bound states of two systems - say hydrogen atom from proton and electron, and the bound states of hydrogen atom represent only a sub-space of the tensor product. Connes tensor product is more exotic example: only certain kind of entangled states in tensor product for which the composites are strongly correlated are allowed. As a matter of fact, also the gluing the legos together creates strong correlations between them so that it serves as a good analogy for Connes tensor product and tensor product assignable to bound states.

Other books that might interest you

  • Manifestation Code - Solved -How to manifest your desires using the law of attraction - cover

    Manifestation Code - Solved -How...

    Oyintari Micheal

    • 0
    • 1
    • 0
    The law of attraction is the law of belief, which I call the manifestation Code.
     
    This brand and company is dedicated to helping you reach your full potential in life, through our effort to make you understand that the power which created the world is within you, and without you.
     
    Every possibility exists now in this present moment, and whatever you want, you can have right now.
     
    Read the manifestation code series, learn and master the secrets of the universe, and how manifesting your desires works.
    Show book
  • Shark Attack - Maneaters and Men - cover

    Shark Attack - Maneaters and Men

    Richard Ellis

    • 0
    • 1
    • 0
    Renowned marine conservationist and artist Richard Ellis addresses the popular myths, misconceptions, and exploits of great white sharks, tiger sharks, bull sharks, and the many other species that roam the waters of our planetDo sharks deserve their universally bad reputation? Sharks are clearly not harmless—Shark Attack includes many true stories of seemingly unwarranted attacks on humans. Yet if sharks truly were vengeful carnivores, no beach on earth would be safe for fishing, surfing, or swimming. Ellis argues that Jaws, the popular 1975 film that misrepresented sharks in almost every detail, has damaged our perception of sharks. Today, museums and aquariums endeavor to rehabilitate the shark’s image, and environmentalists and animal rights activists struggle to slow relentless overfishing. Yet their efforts may be too late to save hundreds of shark species from near or total extinction.
    Show book
  • The Virility Paradox - The Vast Influence of Testosterone on Our Bodies Minds and the World We Live In - cover

    The Virility Paradox - The Vast...

    MD Ryan

    • 0
    • 1
    • 0
    Dr. Ryan is internationally known for clinical research in castration resistant prostate cancer (CRPC), with over 100 scientific publicationsDr. Ryan has lectured at top universities (including Harvard and Stanford) and internationallyHudson Perigo has collaborated with physicians, educators, scientists, and business leaders on more than 30 booksAuthor connections to many promotional outlets, including "Doctor Radio" on Sirius XM, Men's Health Magazine, The Guardian, The Strand Bookstore, Movember, KQED (San Francisco NPR station), and more.Dr. Ryan has created online continuing education videos through UroToday.com that have been viewed over 68K times and the CEO of Urotoday has offered free advertisement of the bookPlans to hire outside publicist
    Show book
  • Autism Survival Handbook: (For People Without Autism) - cover

    Autism Survival Handbook: (For...

    Created by People with Autism...

    • 0
    • 1
    • 0
    The Autism Survival Handbook (For People without Autism) is a book written by people with autism to explain what autism is, how to successfully interact with autistic individual in many situations, and helps explain why autism isn’t a ‘disease’ in need of cure—but rather a difference in brain wiring. This book is written from the perspective of being autistic, so that those who are neurotypical can better understand what life really is through our eyes. So they can understand what we need, why we need it, and why accepting us for who we are is better for everyone around. Whether you’re a parent of an autistic child, supervisor of someone with autistic, friend of an autistic, co-worker of an autistic, or any person that isn’t autistic—you will find this book has extremely helpful information that will help you better interact with and understand the autistic people around you.
    Show book
  • SAP SD Routines - cover

    SAP SD Routines

    Jordan Daniel May

    • 0
    • 5
    • 0
    This Book focuses on SAP SD routines which will be helpful for SD consultants to decide when to use User-Exits and when to use Routines.
    Show book
  • Dowsing for Higher Consciousness - cover

    Dowsing for Higher Consciousness

    James Nathan Post

    • 0
    • 1
    • 0
    This book calls on research and experience to take a new look at the practices of dowsing, such as "water-witching" and other such mechanical techniques to obtain information not available to the physical senses, and to examine the astonishing  psychological and psychic consequences.
    Show book