Home | Amazing | Today | Tags | Publishers | Years | Account | Search 
Probability and Schrodinger's Mechanics

Buy

The presentation and interpretation of (non-relativistic) quantum mechanics is a very well-worked area of study; there have to be very good reasons for adding to the literature on this subject.

My reasons are (obviously) that I am far from satisfied with much of the published work and find difficulties with some points, in particular:

• Any abstract formalism is much less rich than the structure from which it has been abstracted; a fact that even Wittgenstein had to come to terms with in the latter part his adult life. Language is richer than (cannot be reduced to) a representation of logic, Schrodinger's mechanics is richer than (cannot be reduced to) a representation of Hilbert space. Just as language contains more structures than logic so Schrodinger's mechanics contains more structures than those of Hilbert space.

• The use of probability in quantum theory is arbitrary, eccentric, out of step with modern probability theory and is the source of the majority of "paradoxes" in the interpretation of quantum theory. While these paradoxes are the bread and butter of some of the more popular expositions of quantum theory, I cannot say that I am fond of paradoxes in physical theories.

• Although positivism is discredited as a philosophy of science it has left a huge clutter of verbal and conceptual debris strewn across the field of quantum theory. Positivism in its most aggressive form (instrumentalism) makes the mistake of confusing the meaning of a concept with the way in which numerical values of the variables involved in that concept may be determined. This attitude has, of course, added to the confusion about probabilities; "defining" them in terms of the ways in which they might be measured thus reinforcing the view that probabilities are frequency ratios and the everyday opinion that probabilities are applicable to individual events.

• More mundanely, the prescriptions for generating Schrodinger's mechanics from classical mechanics in the vast majority of texts are wrong; they simply do not work. We are saved from total chaos by the fact that the form of the Schr6dinger equation is known and used independently of these formal prescriptions by working scientists. I am at a loss to explain why this central point is ignored in text after text, both on the applications of quantum theory and on its interpretation.

(HTML tags aren't allowed.)

France (Rough Guides)
France (Rough Guides)

The Rough Guide to France is your definitive handbook to one of Europe''s most beautiful countries. From Bastille Day celebrations and the spectacular Amiens cathedral to wintersports in the Alps and the famous Tour de France, this guide captures all of France''s highlights in a full colour introduction. The top hotels, bars...

Enterprise SOA : Designing IT for Business Innovation
Enterprise SOA : Designing IT for Business Innovation

Information Technology professionals can use this book to move beyond the excitement of web services and service oriented architecture (SOA) and begin the process of finding actionable ideas to innovate and create business value. In Enterprise SOA: Designing IT for Business Innovation, SAP's...

Formal Methods for Software Architectures: Third International School on Formal Methods for the Design of Computer
Formal Methods for Software Architectures: Third International School on Formal Methods for the Design of Computer

In the past ten years or so, software architecture has emerged as a central notion in the development of complex software systems. Software architecture is now accepted in the software engineering research and development community as a manageable and meaningful abstraction of the system under development and is applied throughout the...


Principles of Partial Differential Equations (Problem Books in Mathematics)
Principles of Partial Differential Equations (Problem Books in Mathematics)

This concise book covers the classical tools of PDE theory used in today's science and engineering: characteristics, the wave propagation, the Fourier method, distributions, Sobolev spaces, fundamental solutions, and Green's functions. The approach is problem-oriented, giving the reader an opportunity to master solution techniques. The...

Advanced CISSP Prep Guide: Exam Q & A
Advanced CISSP Prep Guide: Exam Q & A

Get ready to pass the CISSP exam and earn your certification with this advanced test guide

Used alone or as an in-depth supplement to the bestselling The CISSP Prep Guide, this book provides you with an even more intensive preparation for the CISSP exam. With the help of more than 300 advanced questions and detailed answers,...

DotNetNuke Skinning Tutorial
DotNetNuke Skinning Tutorial
DotNetNuke is an open-source web application framework written in VB.NET for the ASP.NET framework. The application's content management system is extensible and customizable through the use of skins and modules, and it can be used to create, deploy, and manage intranet, extranet, and websites.

DotNetNuke has a skinning architecture
...
©2020 LearnIT (support@pdfchm.net) - Privacy Policy