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... Almost exactly ten years after the first observation of a Bose–Einstein condensate (BEC) in ultracold atomic gases consisting of so-called bosons1,2, a similar revolution is now unfolding. Evidence has piled up that atoms of the class of particles known as fermions can also be cooled down to a super ...
... Almost exactly ten years after the first observation of a Bose–Einstein condensate (BEC) in ultracold atomic gases consisting of so-called bosons1,2, a similar revolution is now unfolding. Evidence has piled up that atoms of the class of particles known as fermions can also be cooled down to a super ...
Perspective Using classical mechanics in a quantum framework
... on me at the formative stage of my early graduate school years. By the early 1960s the development of crossed molecular beam experimental methods had given one the vision of being able to study chemical reactions at a fundamental molecular level, and many of us that were theoretically inclined leapt ...
... on me at the formative stage of my early graduate school years. By the early 1960s the development of crossed molecular beam experimental methods had given one the vision of being able to study chemical reactions at a fundamental molecular level, and many of us that were theoretically inclined leapt ...
First lecture, 7.10.03
... Of course, you must study a large ensemble of particles to get so much information: “quantum state tomography” ...
... Of course, you must study a large ensemble of particles to get so much information: “quantum state tomography” ...
A translation of" A New Solution to the Measurement Problem of
... Sect 4: Free wills, the flow of energy and quantum measurement The problems of definite outcomes and preferred basis are solved, but one question remains: while quantum mechanics derives superposition, why does the observer get single definite outcome? According to the free will theorem by Conway a ...
... Sect 4: Free wills, the flow of energy and quantum measurement The problems of definite outcomes and preferred basis are solved, but one question remains: while quantum mechanics derives superposition, why does the observer get single definite outcome? According to the free will theorem by Conway a ...
Quantum Dots in Photonic Structures
... (Murray Gell-Mann) • “Those who are not shocked when they first come across quantum theory cannot possibly have understood it” (Niels Bohr) • “I can safely say that nobody understands quantum mechanics” (Richard Feynman) ...
... (Murray Gell-Mann) • “Those who are not shocked when they first come across quantum theory cannot possibly have understood it” (Niels Bohr) • “I can safely say that nobody understands quantum mechanics” (Richard Feynman) ...
Exact diagonalization of quantum spin models
... labelling of the states, using a trick often employed for spin-1/2 systems: an integer index k, running from 1 to 2N −1, contains in its i−th bit the information (0=down, 1=up) for the i−th spin. Of course this works only up to 32 spins, for default integers (or 64 spins for INTEGER(8)). The integer ...
... labelling of the states, using a trick often employed for spin-1/2 systems: an integer index k, running from 1 to 2N −1, contains in its i−th bit the information (0=down, 1=up) for the i−th spin. Of course this works only up to 32 spins, for default integers (or 64 spins for INTEGER(8)). The integer ...
Atomic models: nuclear to quantum
... velocity would slow, and they would spiral into the nucleus and collapse the atom. But, in the subatomic quantum world, atoms are subject to quantum mechanics rather than the Newtonian laws of motion. • Electrons have quantum energy and that level of energy can only be changed transiently. • Uncerta ...
... velocity would slow, and they would spiral into the nucleus and collapse the atom. But, in the subatomic quantum world, atoms are subject to quantum mechanics rather than the Newtonian laws of motion. • Electrons have quantum energy and that level of energy can only be changed transiently. • Uncerta ...
Getting the most action out of least action: A proposal
... A simple application of the Euler–Lagrange equations and some basic calculus establishes that the particle’s velocity components must be constant. We see, therefore, that we can develop a relativistic principle of least-action for a free particle and obtain the constant-velocity result that we know ...
... A simple application of the Euler–Lagrange equations and some basic calculus establishes that the particle’s velocity components must be constant. We see, therefore, that we can develop a relativistic principle of least-action for a free particle and obtain the constant-velocity result that we know ...
pdf - inst.eecs.berkeley.edu
... some physical reasoning with the abstract framework of quantum states and operators. Fundamental (physical) postulates and the Schrodinger equation Why do quantum state evolve in time according to this particular operator, and what is the meaning of this operator? To answer this we have to look at q ...
... some physical reasoning with the abstract framework of quantum states and operators. Fundamental (physical) postulates and the Schrodinger equation Why do quantum state evolve in time according to this particular operator, and what is the meaning of this operator? To answer this we have to look at q ...
Green`s Functions and Their Applications to Quantum Mechanics
... hope to elucidate some of the jumps he assumes an astute reader with a strong physics background will make, in order to make the material a bit more accessible to an undergraduate mathematics student. After discussing the time independent Green’s functions, I plan on showing the true power of the Gr ...
... hope to elucidate some of the jumps he assumes an astute reader with a strong physics background will make, in order to make the material a bit more accessible to an undergraduate mathematics student. After discussing the time independent Green’s functions, I plan on showing the true power of the Gr ...
The Current Model of the Atom Name This Element Building on Bohr
... The Current Model of the Atom ...
... The Current Model of the Atom ...
No Slide Title
... • Use of Phaseonium to obtain cross-Kerr nonlinearity and the N00N with N=30 as a control in the Quantum Fredkin Gate to generate high N00N states. • Strong light-atom interaction in cavity QED can also be used to directly implement Quantum Fredkin gate. ...
... • Use of Phaseonium to obtain cross-Kerr nonlinearity and the N00N with N=30 as a control in the Quantum Fredkin Gate to generate high N00N states. • Strong light-atom interaction in cavity QED can also be used to directly implement Quantum Fredkin gate. ...
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.