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Hiroshi Enatsu
Hiroshi Enatsu (12 September 1922 – 4 August 2019) was a Japanese theoretical physicist who contributed to a relativistic Hamiltonian formalism in quantum field theory. Academic works Enatsu has found that the commutation relation psi (x, \tau), \psi ^*(x', \tau)= \delta ( x - x' ) in a relativistic Hamiltonian formalism is equivalent to that in the conventional non-relativistic Hamiltonian formalism of quantum field theory, where psi, \phi= \psi \phi - \phi \psi is the commutator, x is space-time coordinates, \tau is proper time, \psi ^* is Hermitian adjoint of \psi, and \delta (x) is the Dirac delta function, with the aid of the relation \epsilon ( x - x' ) \epsilon ( \tau - \tau' )=1. Here, a step function \epsilon ( x ) follows \epsilon ( x )=1 for 0 < x , and \epsilon ( x )=-1 for x < 0.


Biography


Early stage

Enatsu was born on 12 September 1922 in
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Theoretical Physics
Theoretical physics is a branch of physics that employs mathematical models and abstractions of physical objects and systems to rationalize, explain and predict natural phenomena. This is in contrast to experimental physics, which uses experimental tools to probe these phenomena. The advancement of science generally depends on the interplay between experimental studies and theory. In some cases, theoretical physics adheres to standards of mathematical rigour while giving little weight to experiments and observations.There is some debate as to whether or not theoretical physics uses mathematics to build intuition and illustrativeness to extract physical insight (especially when normal experience fails), rather than as a tool in formalizing theories. This links to the question of it using mathematics in a less formally rigorous, and more intuitive or heuristic way than, say, mathematical physics. For example, while developing special relativity, Albert Einstein was concerned wit ...
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Step Function
In mathematics, a function on the real numbers is called a step function if it can be written as a finite linear combination of indicator functions of intervals. Informally speaking, a step function is a piecewise constant function having only finitely many pieces. Definition and first consequences A function f\colon \mathbb \rightarrow \mathbb is called a step function if it can be written as :f(x) = \sum\limits_^n \alpha_i \chi_(x), for all real numbers x where n\ge 0, \alpha_i are real numbers, A_i are intervals, and \chi_A is the indicator function of A: :\chi_A(x) = \begin 1 & \text x \in A \\ 0 & \text x \notin A \\ \end In this definition, the intervals A_i can be assumed to have the following two properties: # The intervals are pairwise disjoint: A_i \cap A_j = \emptyset for i \neq j # The union of the intervals is the entire real line: \bigcup_^n A_i = \mathbb R. Indeed, if that is not the case to start with, a different set of intervals can be picked for whi ...
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People From Miyakonojō
A person ( : people) is a being that has certain capacities or attributes such as reason, morality, consciousness or self-consciousness, and being a part of a culturally established form of social relations such as kinship, ownership of property, or legal responsibility. The defining features of personhood and, consequently, what makes a person count as a person, differ widely among cultures and contexts. In addition to the question of personhood, of what makes a being count as a person to begin with, there are further questions about personal identity and self: both about what makes any particular person that particular person instead of another, and about what makes a person at one time the same person as they were or will be at another time despite any intervening changes. The plural form "people" is often used to refer to an entire nation or ethnic group (as in "a people"), and this was the original meaning of the word; it subsequently acquired its use as a plural form of ...
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Kagoshima University Alumni
, abbreviated to , is the capital city of Kagoshima Prefecture, Japan. Located at the southwestern tip of the island of Kyushu, Kagoshima is the largest city in the prefecture by some margin. It has been nicknamed the "Naples of the Eastern world" for its bay location (Aira Caldera), hot climate, and emblematic stratovolcano, Sakurajima. The city was officially founded on April 1, 1889. It merged with Taniyama City on April 29, 1967 and with Yoshida Town, Sakurajima Town, Kiire Town, Matsumoto Town and Kōriyama Town on November 1, 2004. Etymology The name "Kagoshima" (鹿児島) literally means "deer child island" or "young-deer island". In the Kagoshima dialect, local names for the city include “かごっま (Kagomma)”, “かごんま (Kagonma)”, “かごいま (Kagoima)” and “かごひま (Kagohima)”. While the kanji for Kagoshima ( 鹿 児 島) literally mean "deer child island", or "island of the fawn" for certain, the source etymology is not clear and may ...
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Kyoto University Alumni
Kyoto (; Japanese: , ''Kyōto'' ), officially , is the capital city of Kyoto Prefecture in Japan. Located in the Kansai region on the island of Honshu, Kyoto forms a part of the Keihanshin metropolitan area along with Osaka and Kobe. , the city had a population of 1.46 million. The city is the cultural anchor of a substantially larger metropolitan area known as Greater Kyoto, a metropolitan statistical area (MSA) home to a census-estimated 3.8 million people. Kyoto is one of the oldest municipalities in Japan, having been chosen in 794 as the new seat of Japan's imperial court by Emperor Kanmu. The original city, named Heian-kyō, was arranged in accordance with traditional Chinese feng shui following the model of the ancient Chinese capital of Chang'an/Luoyang. The emperors of Japan ruled from Kyoto in the following eleven centuries until 1869. It was the scene of several key events of the Muromachi period, Sengoku period, and the Boshin War, such as the Ōnin War, the Ho ...
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Japanese Expatriates In The United States
Japanese may refer to: * Something from or related to Japan, an island country in East Asia * Japanese language, spoken mainly in Japan * Japanese people, the ethnic group that identifies with Japan through ancestry or culture ** Japanese diaspora, Japanese emigrants and their descendants around the world * Japanese citizens, nationals of Japan under Japanese nationality law ** Foreign-born Japanese, naturalized citizens of Japan * Japanese writing system, consisting of kanji and kana * Japanese cuisine, the food and food culture of Japan See also * List of Japanese people * * Japonica (other) * Japonicum * Japonicus * Japanese studies Japanese studies (Japanese: ) or Japan studies (sometimes Japanology in Europe), is a sub-field of area studies or East Asian studies involved in social sciences and humanities research on Japan. It incorporates fields such as the study of Japanese ... {{disambiguation Language and nationality disambiguation pages ...
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Academic Staff Of Kyoto University
An academy ( Attic Greek: Ἀκαδήμεια; Koine Greek Ἀκαδημία) is an institution of secondary or tertiary higher learning (and generally also research or honorary membership). The name traces back to Plato's school of philosophy, founded approximately 385 BC at Akademia, a sanctuary of Athena, the goddess of wisdom and skill, north of Athens, Greece. Etymology The word comes from the ''Academy'' in ancient Greece, which derives from the Athenian hero, '' Akademos''. Outside the city walls of Athens, the gymnasium was made famous by Plato as a center of learning. The sacred space, dedicated to the goddess of wisdom, Athena, had formerly been an olive grove, hence the expression "the groves of Academe". In these gardens, the philosopher Plato conversed with followers. Plato developed his sessions into a method of teaching philosophy and in 387 BC, established what is known today as the Old Academy. By extension, ''academia'' has come to mean the accumulatio ...
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Academic Staff Of Ritsumeikan University
An academy (Attic Greek: Ἀκαδήμεια; Koine Greek Ἀκαδημία) is an institution of secondary education, secondary or tertiary education, tertiary higher education, higher learning (and generally also research or honorary membership). The name traces back to Plato's school of philosophy, founded approximately 385 BC at Akademia, a sanctuary of Athena, the goddess of wisdom and Skills, skill, north of Ancient Athens, Athens, Greece. Etymology The word comes from the ''Academy'' in ancient Greece, which derives from the Athenian hero, ''Akademos''. Outside the city walls of Athens, the Gymnasium (ancient Greece), gymnasium was made famous by Plato as a center of learning. The sacred space, dedicated to the goddess of wisdom, Athena, had formerly been an olive Grove (nature), grove, hence the expression "the groves of Academe". In these gardens, the philosopher Plato conversed with followers. Plato developed his sessions into a method of teaching philosophy and in 3 ...
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Japanese Physicists
Japanese may refer to: * Something from or related to Japan, an island country in East Asia * Japanese language, spoken mainly in Japan * Japanese people, the ethnic group that identifies with Japan through ancestry or culture ** Japanese diaspora, Japanese emigrants and their descendants around the world * Japanese citizens, nationals of Japan under Japanese nationality law ** Foreign-born Japanese, naturalized citizens of Japan * Japanese writing system, consisting of kanji and kana * Japanese cuisine, the food and food culture of Japan See also * List of Japanese people * * Japonica (other) * Japonicum * Japonicus * Japanese studies Japanese studies (Japanese: ) or Japan studies (sometimes Japanology in Europe), is a sub-field of area studies or East Asian studies involved in social sciences and humanities research on Japan. It incorporates fields such as the study of Japanese ... {{disambiguation Language and nationality disambiguation pages ...
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Order Of The Sacred Treasure
The is a Japanese order, established on 4 January 1888 by Emperor Meiji as the Order of Meiji. Originally awarded in eight classes (from 8th to 1st, in ascending order of importance), since 2003 it has been awarded in six classes, the lowest two medals being abolished that year. Originally a male-only decoration, the order has been made available to women since 1919. The Order of the Sacred Treasure, which had 8 ranks until 2003, was awarded as a slightly lower rank than the Order of the Rising Sun for men and the Order of the Precious Crown for women. For example, the 1st class of the Order of the Sacred Treasure has been treated as between the 1st class and the 2nd class of the Order of the Rising Sun and the Order of the Precious Crown, and the 2nd class of the Order of the Sacred Treasure has been treated as between the 2nd class and the 3rd class of the Order of the Rising Sun and the Order of the Precious Crown.
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Junior College
A junior college (sometimes referred to colloquially as a juco, JuCo or JC) is a post-secondary educational institution offering vocational training designed to prepare students for either skilled trades and technical occupations and workers in support roles in professions such as engineering, accountancy, business administration, nursing, medicine, architecture, and criminology, or for additional education at another college with more advanced academic material. Students typically attend junior colleges for one to three years. By country Bangladesh In Bangladesh, after completing the tenth-grade board exam (Secondary School Certificate), students attend two years of junior college, named intermediate college. After passing the SSC exam, students can apply for their desired colleges, where they study in three groups, namely Science, Humanities and Commerce for two years. After that, students sit for Higher Secondary Certificate at the end of their second year in intermediate ...
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Kagoshima
, abbreviated to , is the capital city of Kagoshima Prefecture, Japan. Located at the southwestern tip of the island of Kyushu, Kagoshima is the largest city in the prefecture by some margin. It has been nicknamed the "Naples of the Eastern world" for its bay location (Aira Caldera), hot climate, and emblematic stratovolcano, Sakurajima. The city was officially founded on April 1, 1889. It merged with Taniyama City on April 29, 1967 and with Yoshida Town, Sakurajima Town, Kiire Town, Matsumoto Town and Kōriyama Town on November 1, 2004. Etymology The name "Kagoshima" (鹿児島) literally means "deer child island" or "young-deer island". In the Kagoshima dialect, local names for the city include “かごっま (Kagomma)”, “かごんま (Kagonma)”, “かごいま (Kagoima)” and “かごひま (Kagohima)”. While the kanji for Kagoshima ( 鹿 児 島) literally mean "deer child island", or "island of the fawn" for certain, the source etymology is not clear and ma ...
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