1 - The Physical Review , vol.115, Second Series, no.6, September 15 1959, bound journal with original end papers, Paul C. Martin and Julian Schwinger's paper titled 'Theory of Many Particle Systems. I' [p.1342 - p.1373]
2 - The Physical Review , vol.93, no.3, Febuary 1 1954, bound journal , Julian Schwinger's paper titled 'The Theory of Quantized Fields. V' [p.615 - p.628]
3 -The Physical Review , vol.128, n0.5, December 1 1962, bound journal with original end papers, Julian Schwinger's paper titled 'Guage Invariance and Mass II' [p.2425 - p.2429]
4 - The Physical Review , vol.127, no.1 July 1 1962, bound journal with original end papers, Julian Schwingers paper titled 'Non-Abelian Guae Fields. Relativistic Invariance' [p.324 - p.330]
Julian Seymour Schwinger was an American theoretical physicist who made significant contributions to the field of quantum mechanics. Born on February 12, 1918, in New York City, Schwinger began his academic journey at City College of New York, where he received his undergraduate degree in physics. He later earned his Ph.D. from Columbia University in 1939 under the guidance of Isidor Isaac Rabi.
Schwinger’s early work focused on quantum electrodynamics, which is the study of the interaction between charged particles and electromagnetic fields. In 1948, he formulated a new approach to quantum electrodynamics, which was independent of the work done by Richard Feynman and Freeman Dyson. This approach, known as the Schwinger-Dyson equation, allowed for a more systematic and rigorous approach to the calculation of quantum mechanical processes.
In 1965, Schwinger was awarded the Nobel Prize in Physics, along with Richard Feynman and Sin-Itiro Tomonaga, for their work in quantum electrodynamics. This recognition cemented Schwinger’s status as one of the most important theoretical physicists of the 20th century.
One of Schwinger’s most significant contributions to physics was his paper published in Physical Review in 1959, titled “Theory of Many-Particle Systems.” This paper provided a theoretical framework for understanding the behavior of many-particle systems, which are systems that consist of many interacting particles, such as atoms in a solid or molecules in a gas.
In this paper, Schwinger developed a formalism for calculating the properties of many-particle systems based on the Green’s function method. This method, which is now known as the Schwinger-Keldysh formalism, has been used extensively in the study of condensed matter physics, where many-particle systems are prevalent.
The Schwinger-Keldysh formalism has proved to be an essential tool in the study of various physical systems, including superconductivity, magnetism, and quantum phase transitions. It has also been used in the development of new technologies, such as quantum computing and spintronics.
In addition to his contributions to quantum mechanics, Schwinger was also a pioneer in the field of particle physics. He was the first to propose the idea of “renormalization,” which is a technique used to remove divergences that arise in quantum field theory calculations. This idea was later developed by Murray Gell-Mann and Francis Low, and it has become a fundamental tool in particle physics.
In conclusion, Julian Seymour Schwinger was a groundbreaking theoretical physicist who made significant contributions to the field of quantum mechanics. His paper in Physical Review in 1959, titled “Theory of Many-Particle Systems,” provided a formalism for understanding the behavior of many-particle systems that has had a profound impact on condensed matter physics. Schwinger’s work in quantum electrodynamics and particle physics also had a significant impact on these fields and has helped shape our modern understanding of the universe.
1 - The Physical Review , vol.115, Second Series, no.6, September 15 1959, bound journal with original end papers, Paul C. Martin and Julian Schwinger's paper titled 'Theory of Many Particle Systems. I' [p.1342 - p.1373]
2 - The Physical Review , vol.93, no.3, Febuary 1 1954, bound journal , Julian Schwinger's paper titled 'The Theory of Quantized Fields. V' [p.615 - p.628]
3 -The Physical Review , vol.128, n0.5, December 1 1962, bound journal with original end papers, Julian Schwinger's paper titled 'Guage Invariance and Mass II' [p.2425 - p.2429]
4 - The Physical Review , vol.127, no.1 July 1 1962, bound journal with original end papers, Julian Schwingers paper titled 'Non-Abelian Guae Fields. Relativistic Invariance' [p.324 - p.330]
Julian Seymour Schwinger was an American theoretical physicist who made significant contributions to the field of quantum mechanics. Born on February 12, 1918, in New York City, Schwinger began his academic journey at City College of New York, where he received his undergraduate degree in physics. He later earned his Ph.D. from Columbia University in 1939 under the guidance of Isidor Isaac Rabi.
Schwinger’s early work focused on quantum electrodynamics, which is the study of the interaction between charged particles and electromagnetic fields. In 1948, he formulated a new approach to quantum electrodynamics, which was independent of the work done by Richard Feynman and Freeman Dyson. This approach, known as the Schwinger-Dyson equation, allowed for a more systematic and rigorous approach to the calculation of quantum mechanical processes.
In 1965, Schwinger was awarded the Nobel Prize in Physics, along with Richard Feynman and Sin-Itiro Tomonaga, for their work in quantum electrodynamics. This recognition cemented Schwinger’s status as one of the most important theoretical physicists of the 20th century.
One of Schwinger’s most significant contributions to physics was his paper published in Physical Review in 1959, titled “Theory of Many-Particle Systems.” This paper provided a theoretical framework for understanding the behavior of many-particle systems, which are systems that consist of many interacting particles, such as atoms in a solid or molecules in a gas.
In this paper, Schwinger developed a formalism for calculating the properties of many-particle systems based on the Green’s function method. This method, which is now known as the Schwinger-Keldysh formalism, has been used extensively in the study of condensed matter physics, where many-particle systems are prevalent.
The Schwinger-Keldysh formalism has proved to be an essential tool in the study of various physical systems, including superconductivity, magnetism, and quantum phase transitions. It has also been used in the development of new technologies, such as quantum computing and spintronics.
In addition to his contributions to quantum mechanics, Schwinger was also a pioneer in the field of particle physics. He was the first to propose the idea of “renormalization,” which is a technique used to remove divergences that arise in quantum field theory calculations. This idea was later developed by Murray Gell-Mann and Francis Low, and it has become a fundamental tool in particle physics.
In conclusion, Julian Seymour Schwinger was a groundbreaking theoretical physicist who made significant contributions to the field of quantum mechanics. His paper in Physical Review in 1959, titled “Theory of Many-Particle Systems,” provided a formalism for understanding the behavior of many-particle systems that has had a profound impact on condensed matter physics. Schwinger’s work in quantum electrodynamics and particle physics also had a significant impact on these fields and has helped shape our modern understanding of the universe.