
QUANTUM COMPUTATION: THE TOPOLOGICAL APPROACH
... What is actually observed is a frequency, say a flash of light, corresponding to an eigenvalue of the observable. Which eigenvalue is observed depends probabilistically on the rotated state vector. ...
... What is actually observed is a frequency, say a flash of light, corresponding to an eigenvalue of the observable. Which eigenvalue is observed depends probabilistically on the rotated state vector. ...
IV3416201624
... the question "where is a particle at time t?" In standard quantum mechanics, The probability corresponds to a measurement result of a particle being at a given location at one specific time. The above mentioned micro-system is taken to be in a superposition of states of its variables. Suppose the ma ...
... the question "where is a particle at time t?" In standard quantum mechanics, The probability corresponds to a measurement result of a particle being at a given location at one specific time. The above mentioned micro-system is taken to be in a superposition of states of its variables. Suppose the ma ...
A Simply Regularized Derivation of the Casimir Force
... of fields, there are some indispensable infinities/irregularities and we always try to regularize our calculations to find out the physical finite/regular results. But, what has happened here? Is there really no regularization in this work? The answer is clearly negative. Clearly, if we observe the ...
... of fields, there are some indispensable infinities/irregularities and we always try to regularize our calculations to find out the physical finite/regular results. But, what has happened here? Is there really no regularization in this work? The answer is clearly negative. Clearly, if we observe the ...
Lecture 7.1
... Consider the change in momentum in these three cases: A. A ball moving with speed v is brought to rest. B. The same ball is projected from rest so that it moves with speed v. C. The same ball moving with speed v is brought to rest and immediately projected backward with speed v. In which case(s) do ...
... Consider the change in momentum in these three cases: A. A ball moving with speed v is brought to rest. B. The same ball is projected from rest so that it moves with speed v. C. The same ball moving with speed v is brought to rest and immediately projected backward with speed v. In which case(s) do ...
1 Classical Mechanics
... Classical mechanics cannot explain quantum phenomena like the stability of atoms, sharp atomic spectral lines, the spectral distribution of black body radiation, chemical reactions, etc. Nevertheless, classical and quantum mechanics are closely connected. Just as geometrical optics can be regarded a ...
... Classical mechanics cannot explain quantum phenomena like the stability of atoms, sharp atomic spectral lines, the spectral distribution of black body radiation, chemical reactions, etc. Nevertheless, classical and quantum mechanics are closely connected. Just as geometrical optics can be regarded a ...
Heisenberg (and Schrödinger, and Pauli) on Hidden - Hal-SHS
... presented their still quite opposing views on wave mechanics and quantum mechanics, respectively, and in the sidelines Bohr and Einstein engaged in informal discussions that have become famous in their own right.5 Born and Heisenberg’s (1928) report contains arguably the most detailed presentation o ...
... presented their still quite opposing views on wave mechanics and quantum mechanics, respectively, and in the sidelines Bohr and Einstein engaged in informal discussions that have become famous in their own right.5 Born and Heisenberg’s (1928) report contains arguably the most detailed presentation o ...
Molecular Electronic Devices
... us to go to real-space and observe the diagonal components of the density matrix But total electron number depends on the sum of these diagonal components, ie, the trace of the density matrix. Turns out the Trace is invariant under Unitary transformation (like the determinant), we could have found t ...
... us to go to real-space and observe the diagonal components of the density matrix But total electron number depends on the sum of these diagonal components, ie, the trace of the density matrix. Turns out the Trace is invariant under Unitary transformation (like the determinant), we could have found t ...
B.7 Uncertainty principle (supplementary) - UTK-EECS
... but this is not the case. “While it is true that measurements in quantum mechanics cause disturbance to the system being measured, this is most emphatically not the content of the uncertainty principle.”(Nielsen & Chuang, 2010, p. 89) Often the uncertainty principle is a result of the variables repr ...
... but this is not the case. “While it is true that measurements in quantum mechanics cause disturbance to the system being measured, this is most emphatically not the content of the uncertainty principle.”(Nielsen & Chuang, 2010, p. 89) Often the uncertainty principle is a result of the variables repr ...
The Hodge Podge of Nature
... This image survived even quantum mechanics and chaos theory. It is still alive and kicking. In quantum mechanics, despite its vaunted indeterminism, we still have totally deterministic laws for the thing that really matters, the thing that quantum mechanics is committed to, which is the quantum stat ...
... This image survived even quantum mechanics and chaos theory. It is still alive and kicking. In quantum mechanics, despite its vaunted indeterminism, we still have totally deterministic laws for the thing that really matters, the thing that quantum mechanics is committed to, which is the quantum stat ...
CV (below or here)
... the Metaphysics of Science conference, Sorbonne, Paris (December, 2015). (5) “The Hole Argument Against Everything,” Inter-University Centre, Dubrovnik (April, 2015) (6) ’’No Time for Problems,” at Beyond Spacetime II, UCSD (March, 2015) (7) “Weak Discernibility and Relations Between Quanta,” at the ...
... the Metaphysics of Science conference, Sorbonne, Paris (December, 2015). (5) “The Hole Argument Against Everything,” Inter-University Centre, Dubrovnik (April, 2015) (6) ’’No Time for Problems,” at Beyond Spacetime II, UCSD (March, 2015) (7) “Weak Discernibility and Relations Between Quanta,” at the ...
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.