
No Slide Title
... The state of a quantum system is described by a function (x, y, z, t) or (r, t), of the configuration space variables and time. The function is referred to as the state function or the wavefunction. It contains all the information that can be determined about the system. Furthermore , we require t ...
... The state of a quantum system is described by a function (x, y, z, t) or (r, t), of the configuration space variables and time. The function is referred to as the state function or the wavefunction. It contains all the information that can be determined about the system. Furthermore , we require t ...
Quantum Stat Mech Primer
... system, one has to be careful regarding counting Identical particles are indistinguishable Fermions: Only one particle is allowed in a quantum state Bosons: Any number of particles can occupy a state Assume that the energy levels εi are solved for and the state i is gi fold degenerate There are a to ...
... system, one has to be careful regarding counting Identical particles are indistinguishable Fermions: Only one particle is allowed in a quantum state Bosons: Any number of particles can occupy a state Assume that the energy levels εi are solved for and the state i is gi fold degenerate There are a to ...
Peter Heuer - Quantum Cryptography Using Single and Entangled
... Bob, without the message being intercepted by an eavesdropper, Eve. Classical codes can use a key held by both Alice and Bob to prevent Eve from understanding their correspondence. However, this type of code can be easily defeated if Eve manages to intercept the encryption key itself. Classically, t ...
... Bob, without the message being intercepted by an eavesdropper, Eve. Classical codes can use a key held by both Alice and Bob to prevent Eve from understanding their correspondence. However, this type of code can be easily defeated if Eve manages to intercept the encryption key itself. Classically, t ...
12.1 Powerpoint
... Back in the very early 1900s physicists thought that within a few years everything having to do with physics would be discovered and the “book of physics” would be complete. This “book of physics” has come to be known as classical physics and consists of particles and mechanics on the one hand, an ...
... Back in the very early 1900s physicists thought that within a few years everything having to do with physics would be discovered and the “book of physics” would be complete. This “book of physics” has come to be known as classical physics and consists of particles and mechanics on the one hand, an ...
Quantum Chaos, Transport, and Decoherence in
... Abstract Introduction: Classical and Quantum Chaos Quantum mechanics has been a rich field of study for so long because it provides many phenomena that run counter to our classically rooted intuitions. While such counterintuitive behavior occurs in simple systems, such as transmission through a doubl ...
... Abstract Introduction: Classical and Quantum Chaos Quantum mechanics has been a rich field of study for so long because it provides many phenomena that run counter to our classically rooted intuitions. While such counterintuitive behavior occurs in simple systems, such as transmission through a doubl ...
Handbook of Modules - Physikalisches Institut
... Advanced Quantum Mechanics (10 ECTS credit points) All students have to accomplish the compulsory module Advanced Quantum Mechanics. The module mark is the mark of the final exam (PL). Advanced Physics 1 (9 ECTS credit points) Within the module Advanced Physics 1 students may select an lecture on Ad ...
... Advanced Quantum Mechanics (10 ECTS credit points) All students have to accomplish the compulsory module Advanced Quantum Mechanics. The module mark is the mark of the final exam (PL). Advanced Physics 1 (9 ECTS credit points) Within the module Advanced Physics 1 students may select an lecture on Ad ...
... Such states can easily be produced by NMR through a simple quantum circuit containig only two gates (the so-called Hadamard and CNOT gates [5]), as shown in section V of the present paper. For that, the two qubits must be first prepared in the initial state |00i and then pass through the circuit. Ho ...
Description of the Physics Programs
... The previous curriculum for physics involved a more quantitative approach to the subject than the present one in certain subject areas. For instance, thermodynamics (including the ideal gas law) is only discussed qualitatively in the present curriculum. In the previous curriculum, students were requ ...
... The previous curriculum for physics involved a more quantitative approach to the subject than the present one in certain subject areas. For instance, thermodynamics (including the ideal gas law) is only discussed qualitatively in the present curriculum. In the previous curriculum, students were requ ...
The hydrogen atom as an entangled electron–proton system
... which is diagonal and shows that the l eigenvalues are equal to l5 u c l u 2 . This also shows that the eigenvectors with zero eigenvalue do not participate in the expansion. The eigenvalues l are thus both the probabilities of finding subsystem u in the states u u l & and the probabilities of findi ...
... which is diagonal and shows that the l eigenvalues are equal to l5 u c l u 2 . This also shows that the eigenvectors with zero eigenvalue do not participate in the expansion. The eigenvalues l are thus both the probabilities of finding subsystem u in the states u u l & and the probabilities of findi ...
- Philsci
... about the results of performing measurements on quantum systems. But this evasion results in OQT being a seriously defective theory. A rival, somewhat ignored strategy is to conjecture that the quantum domain is fundamentally probabilistic. This means quantum entities, interacting with one another p ...
... about the results of performing measurements on quantum systems. But this evasion results in OQT being a seriously defective theory. A rival, somewhat ignored strategy is to conjecture that the quantum domain is fundamentally probabilistic. This means quantum entities, interacting with one another p ...
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.