Hiroshi Enatsu
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Hiroshi Enatsu (12 September 1922 – 4 August 2019) was a Japanese theoretical physicist who contributed to a relativistic
Hamiltonian formalism Hamiltonian mechanics emerged in 1833 as a reformulation of Lagrangian mechanics. Introduced by Sir William Rowan Hamilton, Hamiltonian mechanics replaces (generalized) velocities \dot q^i used in Lagrangian mechanics with (generalized) ''momenta ...
in
quantum field theory In theoretical physics, quantum field theory (QFT) is a theoretical framework that combines classical field theory, special relativity, and quantum mechanics. QFT is used in particle physics to construct physical models of subatomic particles and ...
.


Academic works

Enatsu has found that the
commutation relation In mathematics, the commutator gives an indication of the extent to which a certain binary operation fails to be commutative. There are different definitions used in group theory and ring theory. Group theory The commutator of two elements, a ...
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 In mathematics, the commutator gives an indication of the extent to which a certain binary operation fails to be commutative. There are different definitions used in group theory and ring theory. Group theory The commutator of two elements, a ...
, x is
space-time In physics, spacetime is a mathematical model that combines the three-dimensional space, three dimensions of space and one dimension of time into a single four-dimensional manifold. Minkowski diagram, Spacetime diagrams can be used to visualize S ...
coordinates, \tau is proper time, \psi ^* is Hermitian adjoint of \psi, and \delta (x) is the
Dirac delta function In mathematics, the Dirac delta distribution ( distribution), also known as the unit impulse, is a generalized function or distribution over the real numbers, whose value is zero everywhere except at zero, and whose integral over the entire ...
, 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 Miyakonojō as a son of Eizo and Fumi (Kuroiwa) Enatsu. Miyakonojō is a town within the territory of the former
Satsuma Domain The , briefly known as the , was a domain (''han'') of the Tokugawa shogunate of Japan during the Edo period from 1602 to 1871. The Satsuma Domain was based at Kagoshima Castle in Satsuma Province, the core of the modern city of Kagoshima, ...
, and it was rather natural for Enatsu to receive an education in
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 wor ...
. So, he spent in Kagoshima for secondary education and
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 su ...
.


Encounter with Hideki Yukawa

In the last year of junior college, Hideki Yukawa made a lecture on meson theory at Kagoshima. After listening to the lecture, Enatsu became interested in Yukawa and meson theory, so he decided to study under Yukawa. He studied on meson theory under Yukawa in undergraduate course. He received Bachelor of Science from
Kyoto Imperial University , mottoeng = Freedom of academic culture , established = , type = Public (National) , endowment = ¥ 316 billion (2.4 billion USD The United States dollar (symbol: $; code: USD; also abbreviated US$ or U.S. Dollar, to disting ...
in 1944. He received Doctor of Science. from
Kyoto Imperial University , mottoeng = Freedom of academic culture , established = , type = Public (National) , endowment = ¥ 316 billion (2.4 billion USD The United States dollar (symbol: $; code: USD; also abbreviated US$ or U.S. Dollar, to disting ...
in 1953 under Yukawa. Enatsu was an assistant under Yukawa at Kyoto University from 1946 to 1957. Enatsu was a research assistant at Columbia University in New York City from 1952 to 1953.


Encounter with Niels Bohr

Enatsu was a visiting member of the Institute for Theoretical Physics in Copenhagen from 1955 to 1956. During his stay in Copenhagen, he could ask some questions to Bohr almost every week. It was a special treatment.


Professor at Ritsumeikan University

In 1957, Enatsu was an assistant professor and inaugurated a professor at
Ritsumeikan University is a private university in Kyoto, Japan, that traces its origin to 1869. With the Kinugasa Campus (KIC) in Kyoto, and Kyoto Prefecture, the university also has a satellite called Biwako-Kusatsu Campus (BKC) and Osaka-Ibaraki Campus (OIC). Tod ...
in Kyoto. From 1971 to 1972, he was also the dean of faculty of science and engineering at Ritsumeikan University. In 1988, he retired from a professor at Ritsumeikan University in Kyoto, and has been a professor emeritus. In 1997. he received the 3rd class of the
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 ...
. Enatsu died on 4 August 2019 in KyotoIntelligence: Dr. Hiroshi Enatsu
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Notes


Research articles


On the Photodisintegration of the Deuteron (Pseudoscalar Meson Theory.), December 1949

On the Nuclear Forces, February 1950

On the Interaction of Mesons and Nucleons, September 1950

On the Mass of Cohesive Meson and the Mass Difference Of Nucleon, April 1951

On the Mass of Cohesive Meson and the Mass Difference of Nucleons, II, June 1951

On the Mass Difference of Nucleons and the Cohesive Mesons, October 1951

On the Self-energies of Mesons, October 1951

On the Self-Energies of Nucleons, October 1951

Self-Energies of Nucleons and the Mass Spectra of Heavy Particles, February 1952

Mass Spectrum of Elementary Particles I: Eigenvalue Problem in Space-time, February 1954

Mass Spectrum of Elementary Particles, II, September 1954

Theory of Unstable Heavy Particles, July 1954

Relativistic quantum mechanics and mass-quantization, 1956

Relativistic Hamiltonian Formalism in Quantum Field Theory and Micro-Noncausality, August 1963

Covariant Hamiltonian Formalism for Particles of any Spin and Nonzero Mass, 1968

Micro-noncausal theory of the hydrogen atom 1971

Covariant Hamiltonian formalism for quantized fields and the hydrogen mass levels, 1975

On the hyperfine structure splittings of hydrogen, 1975

Proton-proton scattering problem in a covariant Hamiltonian formalism, 1976

Four-dimensional tensor forces and electric quadrupole moments in the bound-states of the deuteron, 1976

Micrononcausal euclidean wave functions for hadrons, February 1978

Hyperfine structure splittings of the hydrogen atom in a covariant Hamiltonian formalism, 1983

Bethe-Salpeter type equations for a covariant Hamiltonian formalism in quantum field theory, 1984

Quantization of masses of elementary particles with micrononcausal structures, October 1986

Quantization of masses of elementary particles with micrononcausal structures 1987

Quantization of the mass of the W-boson in the Weinberg-Salam theory, 1988


References

* Levere Hostler
"Quantum field theory of particles of indefinite mass. II. An electromagnetic model", 1981
* John R. Fanchi & Weldon J. Wilson
"Relativistic many-body systems: Evolution-parameter formalism", 1983
* Matej Pavsic
"PseudoEuclidean signature harmonic oscillator, quantum field theory and vanishing cosmological constant", 1998
* Juan P. Aparcio, Fabian H. Gaioli, and Edgardo T. Garcia Alvarez
"Proper Time Derivatives in Quantum Mechanics", 1998
* Edgardo T. Garcia Alvarez & Fabian H. Gaioli
"Covariant Hamiltonian Formalisms for Particles and Antiparticles", 1999
* (Eds.) Rosolino Buccheri, Metod Saniga & William Mark Stuckey, "The Nature of Time: Geometry, Physics and Perception", pp. 173-pp. 174, 2003 (Springer). * Ed Seidewitz
"Foundations of a Spacetime Path Formalism for Relativistic Quantum Mechanics", November 2006
{{DEFAULTSORT:Enatsu, Hiroshi Japanese physicists Academic staff of Ritsumeikan University Academic staff of Kyoto University Japanese expatriates in the United States Kyoto University alumni Kagoshima University alumni People from Miyakonojō 1922 births 2019 deaths