School Leadership Effects Revisited
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CiteScore
0.0
Years of issue
2024-2025
journal names
School Leadership Effects Revisited
Top-3 citing journals

Frontiers in Psychology
(15 citations)

Education and Information Technologies
(13 citations)
Top-3 organizations

Education University of Hong Kong
(67 publications)

Charles Sturt University
(41 publications)

Griffith University
(40 publications)

Education University of Hong Kong
(45 publications)

Queensland University of Technology
(20 publications)

University of Helsinki
(20 publications)
Most cited in 5 years
Found
Publications found: 699

Quantum Field Theory
Wetterich C.
Quantum field theory emerges in a very natural and straightforward way from our general probabilistic setting. We have already seen that very simple unique jump chains or probabilistic cellular automata, like the transport automata, describe twodimensional quantum field theories for free massless fermions. Actually, it is the quantum field theory which arises directly at the most basic level. Single-particle quantum mechanics is obtained as a special case or approximation, rather than being the starting point, as in the historical development of quantum field theory. The generic situation for interesting probabilistic systems describes states with many particles, with a continuum limit admitting an infinite number.

Fundamental Probabilities
Wetterich C.
The advent of quantum mechanics has opened a probabilistic view on fundamental physics. It has come, however, with new concepts and rules like wave functions, non-commuting operators, and the rules for associating these quantities with observations. The unusual probabilistic features have opened many debates on their interpretation, as well as on suggestions for extensions of quantum mechanics.

Qubit Automaton
Wetterich C.
In the present section, we concentrate on quantum mechanics for a single qubit. A simple local chain with three classical Ising spins already realizes many characteristic features of quantum mechanics, such as non-commuting operators for observables, the quantum rule for computing expectation values, discrete measurement values corresponding to the spectrum of operators, the uncertainty principle, unitary evolution, and complex structure.

Quantum Mechanics
Wetterich C.
In this chapter, we discuss probabilistic automata that realize all features of quantum mechanics.We start with quantum mechanics for a two-state system or a single qubit. The quantum spin in an arbitrary direction is associated with a corresponding classical Ising spin. For the quantum subsystem, the deterministic evolution for the automaton results in the unitary evolution according to the von Neumann equation for the quantum density matrix. Suitable updating rules can realize an arbitrary Hamiltonian for a single qubit. Quantum mechanics for a single qubit is the extension of the quantum clock system to rotations in three-dimensional space or on the two-dimensional sphere.

Discussion and Conclusions
Wetterich C.
This book proposes a probabilistic formulation of the fundamental laws of nature. On a fundamental level, the description of the universe is entirely based on the concepts of classical statistics: observables that take definite values in the states of the system, probabilities for these states, and expectation values of observables computed from these probabilities. The overall probability distribution covers everything in the world, including all times, all locations, and all possible events.

Fermions
Wetterich C.
In this section we present a first simple classical statistical model that is equivalent to a quantum field theory. It is a generalized Ising model which describes free massless fermions in one time and one space dimension. Even though this two-dimensional model remains extremely simple, all aspects of the formalism of quantum mechanics are already visible. This concerns both the Schr¨odinger or von Neumann equation for a unitary evolution and the appearance of non-commuting operators for observables like position or momentum.

Fundamental Probabilism
Wetterich C.
The starting point of the present work is the assumption that the fundamental description of our world is probabilistic [25,52–54]. The basic objects for this description are probability distributions and observables. Deterministic physics arises as an approximation for particular cases. Our description of probabilities remains within the standard setting of classical statistics. No separate laws for quantum mechanics will be introduced. They follow from the classical statistical setting for particular classes of subsystems.

Probabilistic and Deterministic Evolution
Wetterich C.
Different types of evolution are distinguished by the way the probabilistic information propagates. This is reflected by the question of how boundary properties influence behavior in the bulk.

Entanglement in Classical and Quantum Statistics
Wetterich C.
Entanglement describes situations where two parts of a system are connected and cannot be separated. The properties in one part depend on the properties of the other part. The quantitative description of such situations is given by correlation functions. There is no conceptual difference between entanglement in classical statistics and entanglement in quantum mechanics [185]. In this chapter, we will explicitly construct probabilistic automata that realize the maximally entangled state of a twoqubit quantum system.

Embedding Quantum Mechanics in Classical Statistics
Wetterich C.
It has often been asserted that an embedding of quantum mechanics in classical statistics is not possible. The present work demonstrates by explicit examples that this claim is not justified.

Continuous Classical Variables
Wetterich C.
The use of continuous classical variables brings us closer to the quantum particle, for which we have argued that it involves an infinite number of degrees of freedom. If we allow for an arbitrary orthogonal evolution of the classical wave function, we can find a bit-quantum map which maps this to the evolution of a quantum particle in a potential according to the usual Schrödinger equation.

Subsystems
Wetterich C.
Subsystems are a central ingredient for a probabilistic description of the world. For most practical purposes, one does not want to deal with the overall probability distribution for all events in the universe from the past to the future. One rather concentrates on subsystems.

Probabilistic Time
Wetterich C.
Time is a fundamental concept in physics. It is the first structure among observables that we will discuss. Rather than being postulated as an “a priori concept” with physics formulated in a pregiven time and space, probabilistic time is a powerful concept to order and organize observables. There is no time outside the correlations for the observables of the statistical system.

Correlated Computing
Wetterich C.
As already emphasized, the crucial feature of quantum computing is the large number of correlations between the associated classical bits. These correlations result from the quantum constraint of positivity of the density matrix for the quantum subsystem.

Introduction
Wetterich C.
Since the discovery of quantum mechanics, probabilities have play a central role in fundamental physics. The mathematical formalism of quantum mechanics makes statements about expectation values of observables. The expectation value describes the mean value of an observable for an ensemble of many identical measurements. It is a genuinely probabilistic concept since every possible measurement value of the observable is weighted by the probability of finding it. The quantum laws for the computation of these probabilities are often felt to be mysterious.
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Education University of Hong Kong
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University of Manchester
7 publications, 0.87%
|
|
University of Waikato
7 publications, 0.87%
|
|
University of Queensland
7 publications, 0.87%
|
|
Southern Cross University
7 publications, 0.87%
|
|
Lingnan University
7 publications, 0.87%
|
|
Vanderbilt University
7 publications, 0.87%
|
|
Fairfield University
7 publications, 0.87%
|
|
Higher Colleges of Technology
6 publications, 0.74%
|
|
Hanoi University of Industry
6 publications, 0.74%
|
|
Ghent University
6 publications, 0.74%
|
|
Sapienza University of Rome
6 publications, 0.74%
|
|
University of Milan
6 publications, 0.74%
|
|
National University of Singapore
6 publications, 0.74%
|
|
University of Southampton
6 publications, 0.74%
|
|
IUAV University of Venice
6 publications, 0.74%
|
|
Charles Sturt University
6 publications, 0.74%
|
|
Indonesia University of Education
6 publications, 0.74%
|
|
Hong Kong Polytechnic University
6 publications, 0.74%
|
|
Leibniz University Hannover
6 publications, 0.74%
|
|
University of Cincinnati
6 publications, 0.74%
|
|
Maynooth University
6 publications, 0.74%
|
|
Pontificia Universidad Javeriana
6 publications, 0.74%
|
|
Universidad Industrial de Santander
6 publications, 0.74%
|
|
Universidad Distrital Francisco José de Caldas
6 publications, 0.74%
|
|
Tsinghua University
5 publications, 0.62%
|
|
University of Lisbon
5 publications, 0.62%
|
|
Malmö University
5 publications, 0.62%
|
|
University of Oulu
5 publications, 0.62%
|
|
Massachusetts Institute of Technology
5 publications, 0.62%
|
|
University of Melbourne
5 publications, 0.62%
|
|
University of Wollongong
5 publications, 0.62%
|
|
University of Cape Town
5 publications, 0.62%
|
|
University of South Africa
5 publications, 0.62%
|
|
University of Dodoma
5 publications, 0.62%
|
|
Queen's University Belfast
5 publications, 0.62%
|
|
Graz University of Technology
5 publications, 0.62%
|
|
Open University of the Netherlands
5 publications, 0.62%
|
|
Valencia Catholic University Saint Vincent Martyr
5 publications, 0.62%
|
|
Pontifícia Universidade Católica do Paraná
5 publications, 0.62%
|
|
Delft University of Technology
4 publications, 0.5%
|
|
Macquarie University
4 publications, 0.5%
|
|
Leipzig University
4 publications, 0.5%
|
|
Johannes Gutenberg University Mainz
4 publications, 0.5%
|
|
University of Winnipeg
4 publications, 0.5%
|
|
University of Bergen
3 publications, 0.37%
|
|
Minzu University of China
3 publications, 0.37%
|
|
Chinese University of Hong Kong
3 publications, 0.37%
|
|
University of York
3 publications, 0.37%
|
|
University of Portsmouth
3 publications, 0.37%
|
|
Universidad de Colima
3 publications, 0.37%
|
|
Beijing Foreign Studies University
2 publications, 0.25%
|
|
Hainan Normal University
2 publications, 0.25%
|
|
University of Western Australia
2 publications, 0.25%
|
|
Indiana University of Pennsylvania
2 publications, 0.25%
|
|
Villanova University
2 publications, 0.25%
|
|
Herzen State Pedagogical University of Russia
1 publication, 0.12%
|
|
University of Delhi
1 publication, 0.12%
|
|
Gazi University
1 publication, 0.12%
|
|
Istanbul University Cerrahpasa
1 publication, 0.12%
|
|
Indian Institute of Technology Bhubaneswar
1 publication, 0.12%
|
|
Islamic Azad University South Tehran Branch
1 publication, 0.12%
|
|
Atilim University
1 publication, 0.12%
|
|
Burdur Mehmet Akif Ersoy University
1 publication, 0.12%
|
|
Indira Gandhi National Open University
1 publication, 0.12%
|
|
Inonu University
1 publication, 0.12%
|
|
Aksaray University
1 publication, 0.12%
|
|
Namik Kemal University
1 publication, 0.12%
|
|
Show all (70 more) | |
5
10
15
20
25
30
35
40
45
|
Publishing countries
50
100
150
200
250
300
350
400
|
|
Australia
|
Australia, 393, 22.32%
Australia
393 publications, 22.32%
|
USA
|
USA, 301, 17.09%
USA
301 publications, 17.09%
|
China
|
China, 219, 12.44%
China
219 publications, 12.44%
|
United Kingdom
|
United Kingdom, 177, 10.05%
United Kingdom
177 publications, 10.05%
|
New Zealand
|
New Zealand, 80, 4.54%
New Zealand
80 publications, 4.54%
|
Singapore
|
Singapore, 74, 4.2%
Singapore
74 publications, 4.2%
|
Germany
|
Germany, 69, 3.92%
Germany
69 publications, 3.92%
|
Canada
|
Canada, 63, 3.58%
Canada
63 publications, 3.58%
|
South Africa
|
South Africa, 55, 3.12%
South Africa
55 publications, 3.12%
|
Sweden
|
Sweden, 43, 2.44%
Sweden
43 publications, 2.44%
|
Finland
|
Finland, 42, 2.39%
Finland
42 publications, 2.39%
|
Japan
|
Japan, 40, 2.27%
Japan
40 publications, 2.27%
|
Italy
|
Italy, 39, 2.21%
Italy
39 publications, 2.21%
|
Netherlands
|
Netherlands, 39, 2.21%
Netherlands
39 publications, 2.21%
|
India
|
India, 33, 1.87%
India
33 publications, 1.87%
|
Israel
|
Israel, 29, 1.65%
Israel
29 publications, 1.65%
|
France
|
France, 27, 1.53%
France
27 publications, 1.53%
|
Portugal
|
Portugal, 26, 1.48%
Portugal
26 publications, 1.48%
|
Thailand
|
Thailand, 25, 1.42%
Thailand
25 publications, 1.42%
|
Malaysia
|
Malaysia, 18, 1.02%
Malaysia
18 publications, 1.02%
|
Tanzania
|
Tanzania, 16, 0.91%
Tanzania
16 publications, 0.91%
|
Indonesia
|
Indonesia, 14, 0.8%
Indonesia
14 publications, 0.8%
|
Spain
|
Spain, 14, 0.8%
Spain
14 publications, 0.8%
|
Ireland
|
Ireland, 13, 0.74%
Ireland
13 publications, 0.74%
|
Colombia
|
Colombia, 13, 0.74%
Colombia
13 publications, 0.74%
|
Republic of Korea
|
Republic of Korea, 13, 0.74%
Republic of Korea
13 publications, 0.74%
|
Brazil
|
Brazil, 12, 0.68%
Brazil
12 publications, 0.68%
|
Azerbaijan
|
Azerbaijan, 11, 0.62%
Azerbaijan
11 publications, 0.62%
|
Norway
|
Norway, 11, 0.62%
Norway
11 publications, 0.62%
|
Turkey
|
Turkey, 11, 0.62%
Turkey
11 publications, 0.62%
|
Belgium
|
Belgium, 10, 0.57%
Belgium
10 publications, 0.57%
|
Bosnia and Herzegovina
|
Bosnia and Herzegovina, 10, 0.57%
Bosnia and Herzegovina
10 publications, 0.57%
|
Hungary
|
Hungary, 8, 0.45%
Hungary
8 publications, 0.45%
|
Venezuela
|
Venezuela, 8, 0.45%
Venezuela
8 publications, 0.45%
|
Denmark
|
Denmark, 8, 0.45%
Denmark
8 publications, 0.45%
|
Austria
|
Austria, 7, 0.4%
Austria
7 publications, 0.4%
|
Bangladesh
|
Bangladesh, 7, 0.4%
Bangladesh
7 publications, 0.4%
|
Mexico
|
Mexico, 7, 0.4%
Mexico
7 publications, 0.4%
|
UAE
|
UAE, 7, 0.4%
UAE
7 publications, 0.4%
|
Vietnam
|
Vietnam, 6, 0.34%
Vietnam
6 publications, 0.34%
|
Romania
|
Romania, 6, 0.34%
Romania
6 publications, 0.34%
|
Philippines
|
Philippines, 5, 0.28%
Philippines
5 publications, 0.28%
|
Saudi Arabia
|
Saudi Arabia, 4, 0.23%
Saudi Arabia
4 publications, 0.23%
|
Switzerland
|
Switzerland, 4, 0.23%
Switzerland
4 publications, 0.23%
|
Russia
|
Russia, 3, 0.17%
Russia
3 publications, 0.17%
|
Kenya
|
Kenya, 3, 0.17%
Kenya
3 publications, 0.17%
|
Costa Rica
|
Costa Rica, 3, 0.17%
Costa Rica
3 publications, 0.17%
|
Peru
|
Peru, 3, 0.17%
Peru
3 publications, 0.17%
|
Estonia
|
Estonia, 1, 0.06%
Estonia
1 publication, 0.06%
|
Argentina
|
Argentina, 1, 0.06%
Argentina
1 publication, 0.06%
|
Bolivia
|
Bolivia, 1, 0.06%
Bolivia
1 publication, 0.06%
|
Greece
|
Greece, 1, 0.06%
Greece
1 publication, 0.06%
|
Dominican Republic
|
Dominican Republic, 1, 0.06%
Dominican Republic
1 publication, 0.06%
|
Iran
|
Iran, 1, 0.06%
Iran
1 publication, 0.06%
|
Latvia
|
Latvia, 1, 0.06%
Latvia
1 publication, 0.06%
|
Paraguay
|
Paraguay, 1, 0.06%
Paraguay
1 publication, 0.06%
|
Poland
|
Poland, 1, 0.06%
Poland
1 publication, 0.06%
|
Rwanda
|
Rwanda, 1, 0.06%
Rwanda
1 publication, 0.06%
|
Uganda
|
Uganda, 1, 0.06%
Uganda
1 publication, 0.06%
|
Fiji
|
Fiji, 1, 0.06%
Fiji
1 publication, 0.06%
|
Ecuador
|
Ecuador, 1, 0.06%
Ecuador
1 publication, 0.06%
|
Show all (31 more) | |
50
100
150
200
250
300
350
400
|
Publishing countries in 5 years
20
40
60
80
100
120
140
160
|
|
Australia
|
Australia, 151, 18.73%
Australia
151 publications, 18.73%
|
China
|
China, 130, 16.13%
China
130 publications, 16.13%
|
USA
|
USA, 126, 15.63%
USA
126 publications, 15.63%
|
United Kingdom
|
United Kingdom, 72, 8.93%
United Kingdom
72 publications, 8.93%
|
New Zealand
|
New Zealand, 38, 4.71%
New Zealand
38 publications, 4.71%
|
Finland
|
Finland, 32, 3.97%
Finland
32 publications, 3.97%
|
South Africa
|
South Africa, 29, 3.6%
South Africa
29 publications, 3.6%
|
Germany
|
Germany, 24, 2.98%
Germany
24 publications, 2.98%
|
Singapore
|
Singapore, 19, 2.36%
Singapore
19 publications, 2.36%
|
Sweden
|
Sweden, 19, 2.36%
Sweden
19 publications, 2.36%
|
Israel
|
Israel, 15, 1.86%
Israel
15 publications, 1.86%
|
Thailand
|
Thailand, 15, 1.86%
Thailand
15 publications, 1.86%
|
India
|
India, 13, 1.61%
India
13 publications, 1.61%
|
Italy
|
Italy, 12, 1.49%
Italy
12 publications, 1.49%
|
Bosnia and Herzegovina
|
Bosnia and Herzegovina, 10, 1.24%
Bosnia and Herzegovina
10 publications, 1.24%
|
Netherlands
|
Netherlands, 10, 1.24%
Netherlands
10 publications, 1.24%
|
Tanzania
|
Tanzania, 10, 1.24%
Tanzania
10 publications, 1.24%
|
France
|
France, 9, 1.12%
France
9 publications, 1.12%
|
Turkey
|
Turkey, 9, 1.12%
Turkey
9 publications, 1.12%
|
Hungary
|
Hungary, 8, 0.99%
Hungary
8 publications, 0.99%
|
Indonesia
|
Indonesia, 8, 0.99%
Indonesia
8 publications, 0.99%
|
Canada
|
Canada, 8, 0.99%
Canada
8 publications, 0.99%
|
Bangladesh
|
Bangladesh, 7, 0.87%
Bangladesh
7 publications, 0.87%
|
Mexico
|
Mexico, 7, 0.87%
Mexico
7 publications, 0.87%
|
Belgium
|
Belgium, 6, 0.74%
Belgium
6 publications, 0.74%
|
Brazil
|
Brazil, 6, 0.74%
Brazil
6 publications, 0.74%
|
Vietnam
|
Vietnam, 6, 0.74%
Vietnam
6 publications, 0.74%
|
Ireland
|
Ireland, 6, 0.74%
Ireland
6 publications, 0.74%
|
Colombia
|
Colombia, 6, 0.74%
Colombia
6 publications, 0.74%
|
UAE
|
UAE, 6, 0.74%
UAE
6 publications, 0.74%
|
Romania
|
Romania, 6, 0.74%
Romania
6 publications, 0.74%
|
Austria
|
Austria, 5, 0.62%
Austria
5 publications, 0.62%
|
Spain
|
Spain, 5, 0.62%
Spain
5 publications, 0.62%
|
Philippines
|
Philippines, 5, 0.62%
Philippines
5 publications, 0.62%
|
Norway
|
Norway, 4, 0.5%
Norway
4 publications, 0.5%
|
Saudi Arabia
|
Saudi Arabia, 4, 0.5%
Saudi Arabia
4 publications, 0.5%
|
Japan
|
Japan, 3, 0.37%
Japan
3 publications, 0.37%
|
Russia
|
Russia, 1, 0.12%
Russia
1 publication, 0.12%
|
Denmark
|
Denmark, 1, 0.12%
Denmark
1 publication, 0.12%
|
Iran
|
Iran, 1, 0.12%
Iran
1 publication, 0.12%
|
Kenya
|
Kenya, 1, 0.12%
Kenya
1 publication, 0.12%
|
Latvia
|
Latvia, 1, 0.12%
Latvia
1 publication, 0.12%
|
Malaysia
|
Malaysia, 1, 0.12%
Malaysia
1 publication, 0.12%
|
Poland
|
Poland, 1, 0.12%
Poland
1 publication, 0.12%
|
Republic of Korea
|
Republic of Korea, 1, 0.12%
Republic of Korea
1 publication, 0.12%
|
Uganda
|
Uganda, 1, 0.12%
Uganda
1 publication, 0.12%
|
Show all (16 more) | |
20
40
60
80
100
120
140
160
|