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ID 117470
Title Alternative
The Fundamental Principles of New Quantum Theory
Author
Keywords
new quantum theory
quantum probability
axiom of new quantum theory
Schrödinger equation
Content Type
Departmental Bulletin Paper
Description
In this article, we established the fundamental principles of new quantum theory.
At first, we mention the notion of quantum probability and its basic properties.
Next, we propose the axiom of new quantum theory, using the notion of quantum probability. The characteristic property of the quantum state is that the quantum state is determined by the L2-density of the quantum probability distribution of the position variables and the momentum variables of the quantum system.
At last, we derive the Schrödinger equations by the reasonable method based on the axiom of new quantum theory. Here we use the variational principle that the real L2-density determining the quantum state of the quantum system, which is, in practice, realized physically, should be determined among the admissible L2-densities so that the energy expectation value takes its stationary value.
Journal Title
Natural Science Research
ISSN
09146385
NCID
AN10065859
Publisher
徳島大学総合科学部
Volume
19
Start Page
1
End Page
18
Sort Key
1
Published Date
2005-12-24
EDB ID
FullText File
nsr_19_1.pdf 2.24 MB
language
jpn
TextVersion
Publisher
departments
Science and Technology