
On distinguishability, orthogonality, and violations of the second law: contradictory assumptions, contrasting pieces of knowledge
... The interplay of orthogonality, distinguishability, thermodynamics, and multiplicity of observers is quite interesting; therefore we want to discuss and analyse it in varying depth, mainly with paedagogical purposes. The paper is divided into two main parts, reflecting two main perspectives. In the ...
... The interplay of orthogonality, distinguishability, thermodynamics, and multiplicity of observers is quite interesting; therefore we want to discuss and analyse it in varying depth, mainly with paedagogical purposes. The paper is divided into two main parts, reflecting two main perspectives. In the ...
Halperin Presentation - National Academy of Sciences
... Recent observations of the little Higgs in superfluid 3He-B have prompted, by analogy, predictionof a new Higgs particle at 325 GeV. ...
... Recent observations of the little Higgs in superfluid 3He-B have prompted, by analogy, predictionof a new Higgs particle at 325 GeV. ...
A Dialogue Between Contemporary
... and general effects of all these entities at any time in the past or future.”10 As such, all of reality could be calculated, easily enough, were one to simply possess a sufficient mind that had the appropriate knowledge. Just a moment’s observation or brief time-delayed snapshot of the universe woul ...
... and general effects of all these entities at any time in the past or future.”10 As such, all of reality could be calculated, easily enough, were one to simply possess a sufficient mind that had the appropriate knowledge. Just a moment’s observation or brief time-delayed snapshot of the universe woul ...
Four-photon orbital angular momentum entanglement
... If not noted otherwise, we use a pump power of 70 mW, which corresponds to a peak intensity at the focus of 11.2 kW cm−2 . This is close to the PPKTP damage threshold; above this, gray-tracking was observed. Elevated temperatures or other materials, such as periodically poled Lithium Niobate, would ...
... If not noted otherwise, we use a pump power of 70 mW, which corresponds to a peak intensity at the focus of 11.2 kW cm−2 . This is close to the PPKTP damage threshold; above this, gray-tracking was observed. Elevated temperatures or other materials, such as periodically poled Lithium Niobate, would ...
A Selective History of the Stone-von Neumann Theorem
... As this volume is dedicated in honor of the hundredth birthdays of Stone and von Neumann, it seems totally appropriate to consider the history of the one theorem that bears both of their names. This history turns out to involve a surprisingly large swath of 20th century mathematics: from quantizatio ...
... As this volume is dedicated in honor of the hundredth birthdays of Stone and von Neumann, it seems totally appropriate to consider the history of the one theorem that bears both of their names. This history turns out to involve a surprisingly large swath of 20th century mathematics: from quantizatio ...
Reflection Symmetry and Energy-Level Ordering in Frustrated Spin
... Ground state (GS) of the classical Heisenberg model on bipartite lattice is a Néel state, i. e. The spins within the same sublattice have the same direction. The spins of different sublattices are in opposite directions. Properties of the Néel state: Néel state minimizes all local interactions in th ...
... Ground state (GS) of the classical Heisenberg model on bipartite lattice is a Néel state, i. e. The spins within the same sublattice have the same direction. The spins of different sublattices are in opposite directions. Properties of the Néel state: Néel state minimizes all local interactions in th ...
PDF
... now viewed as a tool, a source of and out-of-phase amplitudes of the electromagnetic field; that is, by output C or D, respectively. Beexotic and funky effects that can its ‘‘quadratures.’’ Note that the Heisenberg principle is so called only cause the xjs are independent be used to our benefit. In ...
... now viewed as a tool, a source of and out-of-phase amplitudes of the electromagnetic field; that is, by output C or D, respectively. Beexotic and funky effects that can its ‘‘quadratures.’’ Note that the Heisenberg principle is so called only cause the xjs are independent be used to our benefit. In ...
Quantum Spacetimes and Finite N Effects in 4D Super Yang
... AdS5 × S 5 and the N = 4 superconformal four dimensional super Yang-Mills. The gauge group of the field theory is SU (N ) when the flux through S 5 is N . In the case of large N and large effective coupling, Maldacena’s conjecture relates the corresponding field theory and the classical supergravity ...
... AdS5 × S 5 and the N = 4 superconformal four dimensional super Yang-Mills. The gauge group of the field theory is SU (N ) when the flux through S 5 is N . In the case of large N and large effective coupling, Maldacena’s conjecture relates the corresponding field theory and the classical supergravity ...
Very brief introduction to Conformal Field Theory
... Similar chiral correlators have been considered in the Fractional Quantum Hall effect at filling fraction 5/2. This is the so called Pfaffian state due to Moore and Read. FQHE/CFT correspondence electron = ...
... Similar chiral correlators have been considered in the Fractional Quantum Hall effect at filling fraction 5/2. This is the so called Pfaffian state due to Moore and Read. FQHE/CFT correspondence electron = ...
(pdf)
... In classical computation, there are a of number problems that cannot be solved with efficient algorithms. For example, the best classical algorithm for factorizing a large integer N increases exponentially with the size of the integer. If we continue to increase the size of the integer, it does not ...
... In classical computation, there are a of number problems that cannot be solved with efficient algorithms. For example, the best classical algorithm for factorizing a large integer N increases exponentially with the size of the integer. If we continue to increase the size of the integer, it does not ...
Learning about order from noise Quantum noise studies of
... Luttinger liquid provides good agreement with experiments. Technical noise could also lead to the absence of echo ...
... Luttinger liquid provides good agreement with experiments. Technical noise could also lead to the absence of echo ...
5.2 Functions and Dirac notation
... Bra-ket notation and expansions on basis sets When we write the function in this different form as a vector containing these expansion coefficients we say we have changed its “representation” The function f x is still the same function the vector f x is the same vector in our space We have ...
... Bra-ket notation and expansions on basis sets When we write the function in this different form as a vector containing these expansion coefficients we say we have changed its “representation” The function f x is still the same function the vector f x is the same vector in our space We have ...
Max Born

Max Born (German: [bɔɐ̯n]; 11 December 1882 – 5 January 1970) was a German physicist and mathematician who was instrumental in the development of quantum mechanics. He also made contributions to solid-state physics and optics and supervised the work of a number of notable physicists in the 1920s and 30s. Born won the 1954 Nobel Prize in Physics for his ""fundamental research in Quantum Mechanics, especially in the statistical interpretation of the wave function"".Born was born in 1882 in Breslau, then in Germany, now in Poland and known as Wrocław. He entered the University of Göttingen in 1904, where he found the three renowned mathematicians, Felix Klein, David Hilbert and Hermann Minkowski. He wrote his Ph.D. thesis on the subject of ""Stability of Elastica in a Plane and Space"", winning the University's Philosophy Faculty Prize. In 1905, he began researching special relativity with Minkowski, and subsequently wrote his habilitation thesis on the Thomson model of the atom. A chance meeting with Fritz Haber in Berlin in 1918 led to discussion of the manner in which an ionic compound is formed when a metal reacts with a halogen, which is today known as the Born–Haber cycle.In the First World War after originally being placed as a radio operator, due to his specialist knowledge he was moved to research duties regarding sound ranging. In 1921, Born returned to Göttingen, arranging another chair for his long-time friend and colleague James Franck. Under Born, Göttingen became one of the world's foremost centres for physics. In 1925, Born and Werner Heisenberg formulated the matrix mechanics representation of quantum mechanics. The following year, he formulated the now-standard interpretation of the probability density function for ψ*ψ in the Schrödinger equation, for which he was awarded the Nobel Prize in 1954. His influence extended far beyond his own research. Max Delbrück, Siegfried Flügge, Friedrich Hund, Pascual Jordan, Maria Goeppert-Mayer, Lothar Wolfgang Nordheim, Robert Oppenheimer, and Victor Weisskopf all received their Ph.D. degrees under Born at Göttingen, and his assistants included Enrico Fermi, Werner Heisenberg, Gerhard Herzberg, Friedrich Hund, Pascual Jordan, Wolfgang Pauli, Léon Rosenfeld, Edward Teller, and Eugene Wigner.In January 1933, the Nazi Party came to power in Germany, and Born, who was Jewish, was suspended. He emigrated to Britain, where he took a job at St John's College, Cambridge, and wrote a popular science book, The Restless Universe, as well as Atomic Physics, which soon became a standard text book. In October 1936, he became the Tait Professor of Natural Philosophy at the University of Edinburgh, where, working with German-born assistants E. Walter Kellermann and Klaus Fuchs, he continued his research into physics. Max Born became a naturalised British subject on 31 August 1939, one day before World War II broke out in Europe. He remained at Edinburgh until 1952. He retired to Bad Pyrmont, in West Germany. He died in hospital in Göttingen on 5 January 1970.