His research is mainly concerned with non-commutative geometry and with the mathematical foundations of quantum theory.

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The purpose of this book is to present the foundations of quantum theory in connection with classical physics, from the point of view of classical-quantum duality. Dediu, Mathematical Reviews, Decemeber, JavaScript is currently disabled, this site works much better if you enable JavaScript in your browser.

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Physics Quantum Physics. Fundamental Theories of Physics Free Preview. Open Access This content is freely available online to anyone, anywhere at any time. Buy Hardcover.

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Buy Softcover. FAQ Policy. About this book This book studies the foundations of quantum theory through its relationship to classical physics.

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Show all. Table of contents 12 chapters Table of contents 12 chapters Classical physics on a finite phase space Landsman, Klaas Pages Quantum mechanics on a finite-dimensional Hilbert space Landsman, Klaas Pages Classical physics on a general phase space Landsman, Klaas Pages Quantum physics on a general Hilbert space Landsman, Klaas Pages One natural conclusion arises from the answers, there is still room for different opinions regarding the implications and applications of quantum mechanical predictions and experiments.

In this post we will explain and discuss some of the most interesting questions, and we will summarize some of the conclusions. On the other hand, we really encourage the reader to check Ref [1] in order to see the rest of the questions and the complete statistical analysis. Question 1: What is your opinion about the randomness of individual quantum events such as the decay of a radioactive atom? Randomness is a key ingredient of quantum mechanics.

The main difference between this theory and all the other ones, such as Relativity and Classical Mechanics, is that quantum mechanics can not predict what is going to happen, but only the probabilities of different outcomes. The example from the question is clear, quantum mechanics can predict the probability of a radioactive atom of decaying in the next hour, but it can not predict if it will really decay or not.

From the answers to the question one conclusion is clear: Most of the specialists think that randomness is a fundamental part of nature, and not just a problem with the current theory. Question 2: Do you think that physical objects have their properties well defined prior to and independent of measurement? Equally important to randomness is the concept of measurement. Imagine that you put a cat in a box, together with him there is a radioactive atom, connected to a detector. But, what happens just before you open the box?

Is the cat half alive-half dead or in a definite state?

## Foundations of quantum mechanics

From the answers to the question it is clear that there is not agreement on this point. The measurement problem is directly related with the previous question.

If the cat is really in a superposition of being dead and alive, how can it happen that when we open the box the state colapse to being alive or dead? This is, basically, the measurement problem.

## Foundations of quantum physics | physics4me

One of the most popular solutions to this problem is decoherence 3. Also interesting is the disparity in evaluating the importance of the problem itself. Quantum information is one of the most active fields in physics nowadays.

- Foundations of quantum mechanics | Nature Physics.
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- Introduction to quantum mechanics;

It tries to use quantum properties of systems in order to compute and transmit information. It is clear that it is also considered an important topic for quantum mechanics foundations. Quantum computers use the rules of quantum mechanics, in order to compute mathematical and physical problems much faster than normal, classical, computers. The actual prototypes have only a few quantum-bits, or qubits, that is quite far from being useful. On the other hand it looks like the experts are optimistic about having a really useful quantum computer in the future.

As quantum mechanics has many counterintuitive results, different interpretations of its results have been developed. Explaining them is beyond the scope of this post, but it is clear from the responses to the question that there is absolutely no consensus about what is the best interpretation. Why that happens is strongly related with the next question.