The twentieth century has witnessed a striking transformation in
the understanding of the theories of mathematical physics. There
has emerged clearly the idea that physical theories are
significantly characterized by their abstract mathematical
structure. This is in opposition to the tradi tional opinion that
one should look to the specific applications of a theory in orrter
to understand it. One might with reason now espouse the view that
to understand the deeper character of a theory one must know its
abstract structure and understand the significance of that
structure, while to understand how a theory might be modified in
light of its experimental inadequacies one must be intimately
acquainted with how it is applied. Quantum theory itself has gone
through a development this century which illustrates strikingly the
shifting perspective. From a collection of intuitive physical
manoeuvers under Bohr, through a formative stage in which the
mathematical framework was bifurcated (between Schrodinger and
Heisenberg) to an elegant culmination in von Neumann's Hilbert
space formulation, the elementary theory moved, flanked even at
this later stage by the ill-understood formalisms for the
relativistic version and for the field-theoretic alternative; after
that we have a gradual, but constant, elaboration of all these
quantal theories as abstract mathematical structures (their point
of departure being von Neumann's formalism) until at the present
time theoretical work is heavily preoccupied with the manipulation
of purely abstract structures."
General
Imprint: |
Kluwer Academic Publishers
|
Country of origin: |
Netherlands |
Series: |
The Western Ontario Series in Philosophy of Science, 5b |
Release date: |
May 1979 |
First published: |
1979 |
Editors: |
C.A. Hooker
|
Dimensions: |
235 x 155 x 25mm (L x W x T) |
Format: |
Paperback
|
Pages: |
466 |
Edition: |
Softcover reprint of the original 1st ed. 1979 |
ISBN-13: |
978-90-277-0709-3 |
Categories: |
Books >
Science & Mathematics >
Physics >
Quantum physics (quantum mechanics) >
General
|
LSN: |
90-277-0709-X |
Barcode: |
9789027707093 |
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