Today`s class: Schrödinger`s Cat Paradox
... that’s both dead and alive at the same time. • Schrodinger illustrated a problem with QM: it predicts that cat will be in a superposition state UNTIL WE MEASURE IT, but doesn’t define what it means to make a measurement. In fact, a measurement is any interaction with the environment – intentional o ...
... that’s both dead and alive at the same time. • Schrodinger illustrated a problem with QM: it predicts that cat will be in a superposition state UNTIL WE MEASURE IT, but doesn’t define what it means to make a measurement. In fact, a measurement is any interaction with the environment – intentional o ...
Time independent Schrödinger Equation
... significant and by the closeness in energy of the states. • If some states are very close in energy, a perturbation generally results in a new state that is a linear combination of the originally degenerate unperturbed states. Copyright (c) Stuart Lindsay 2008 ...
... significant and by the closeness in energy of the states. • If some states are very close in energy, a perturbation generally results in a new state that is a linear combination of the originally degenerate unperturbed states. Copyright (c) Stuart Lindsay 2008 ...
Quantum telescopes
... diameter of 1.2 m was gigantic for the time. Accordingly, the costs greatly exceeded the initial estimates. But William Herschel had discovered a planet in 1781. He had called it the Georgian Star in honor of King George III, and even though the planet ultimately became to be known as Uranus, the i ...
... diameter of 1.2 m was gigantic for the time. Accordingly, the costs greatly exceeded the initial estimates. But William Herschel had discovered a planet in 1781. He had called it the Georgian Star in honor of King George III, and even though the planet ultimately became to be known as Uranus, the i ...
SPS 3
... This phenomenon is known as anti-bunching. Anti-bunching is a purely quantum effect and cannot be realized, in anyway, from the classical theory of light. A simple interpretation of anti-bunching may be realized from the understanding that, light is a manifestation of discrete quantized packets of ...
... This phenomenon is known as anti-bunching. Anti-bunching is a purely quantum effect and cannot be realized, in anyway, from the classical theory of light. A simple interpretation of anti-bunching may be realized from the understanding that, light is a manifestation of discrete quantized packets of ...
Problem Set 4 Solutions
... momentum using the relation E = (this is valid because the potential energy is zero inside the box). 2m Finally, use the Heisenberg Uncertainty Principle to obtain the uncertainty in the momentum. ...
... momentum using the relation E = (this is valid because the potential energy is zero inside the box). 2m Finally, use the Heisenberg Uncertainty Principle to obtain the uncertainty in the momentum. ...
Holonomic quantum computation with neutral atoms
... The standard paradigm of quantum computation (QC) [1] is a dynamical one: in order to manipulate the quantum state of systems encoding information, local interactions between low dimensional subsystems (qubits) are switched on and off in such a way to enact a sequence of quantum gates. On the other h ...
... The standard paradigm of quantum computation (QC) [1] is a dynamical one: in order to manipulate the quantum state of systems encoding information, local interactions between low dimensional subsystems (qubits) are switched on and off in such a way to enact a sequence of quantum gates. On the other h ...
pptx
... • Wave packets are constructed from a series of plane waves. • The more spatially localized the wave packet, the less uncertainty in position. • With less uncertainty in position comes a greater uncertainty in momentum. ...
... • Wave packets are constructed from a series of plane waves. • The more spatially localized the wave packet, the less uncertainty in position. • With less uncertainty in position comes a greater uncertainty in momentum. ...
3. Electronic structure of atoms
... Change of the sign is therefore eligible since only the square of the wave function has physical meaning which does not change in this case, either. According to one of the postulates of quantum mechanics (so called Pauli principle) the wave function of the electrons must be anti-symmetric with resp ...
... Change of the sign is therefore eligible since only the square of the wave function has physical meaning which does not change in this case, either. According to one of the postulates of quantum mechanics (so called Pauli principle) the wave function of the electrons must be anti-symmetric with resp ...
Lecture Notes3 - Haldia Institute of Technology
... In 1927 C. J. Davisson and L. H. Germer of the Bell Telephone Laboratory, USA performed an experiment on the diffraction of electrons from the surface of a solid crystal. The apparatus designed and built by them consisted of a vacuum chamber in which electrons were produced from a heated tungsten fi ...
... In 1927 C. J. Davisson and L. H. Germer of the Bell Telephone Laboratory, USA performed an experiment on the diffraction of electrons from the surface of a solid crystal. The apparatus designed and built by them consisted of a vacuum chamber in which electrons were produced from a heated tungsten fi ...
chapter 7 part 2
... just as Schrödinger said: ”requirement that a certain spatial function be finite and single values” results in a series of 3 (interrelated) quantum numbers in a natural way just by making physical sense of the mathematical boundary conditions the three quantum numbers are interrelated because the sp ...
... just as Schrödinger said: ”requirement that a certain spatial function be finite and single values” results in a series of 3 (interrelated) quantum numbers in a natural way just by making physical sense of the mathematical boundary conditions the three quantum numbers are interrelated because the sp ...
PowerPoint
... • Implies that observables are Hermitean (given an extra assumption that eigenvalues are real). • Proof similar to “no cloning theorem” -- information about preexisting states cannot be “found out” -- passed on. (Cloning -- making a “perfect copy”.) • Proof can be extended to the case when the appar ...
... • Implies that observables are Hermitean (given an extra assumption that eigenvalues are real). • Proof similar to “no cloning theorem” -- information about preexisting states cannot be “found out” -- passed on. (Cloning -- making a “perfect copy”.) • Proof can be extended to the case when the appar ...
Doppler effect and frequency
... During past more than a decade, there has been a great deal of activity on the gross motion of atoms subjected to laser light beams. The theory of a moving two-level atom interacting with the light beam adequately brings out the physics of the phenomena such as atomic beam deflection and laser cooli ...
... During past more than a decade, there has been a great deal of activity on the gross motion of atoms subjected to laser light beams. The theory of a moving two-level atom interacting with the light beam adequately brings out the physics of the phenomena such as atomic beam deflection and laser cooli ...
E1344: Oscillations between a site and a ring
... E1344: Oscillations between a site and a ring Submitted by: Asaf Barak, Jeremy Gartner The problem: A given ring with length L = 1 has N sites, which have equal potential (V = 0). The hopping amplitude of a particle per time unit between neighbouring sites is c. Another site is added at the center o ...
... E1344: Oscillations between a site and a ring Submitted by: Asaf Barak, Jeremy Gartner The problem: A given ring with length L = 1 has N sites, which have equal potential (V = 0). The hopping amplitude of a particle per time unit between neighbouring sites is c. Another site is added at the center o ...
Bohr–Einstein debates
The Bohr–Einstein debates were a series of public disputes about quantum mechanics between Albert Einstein and Niels Bohr. Their debates are remembered because of their importance to the philosophy of science. An account of the debates was written by Bohr in an article titled ""Discussions with Einsteinon Epistemological Problems in Atomic Physics"". Despite their differences of opinion regarding quantum mechanics, Bohr and Einstein had a mutual admiration that was to last the rest of their lives.The debates represent one of the highest points of scientific research in the first half of the twentieth century because it called attention to an element of quantum theory, quantum non-locality, which is absolutely central to our modern understanding of the physical world. The consensus view of professional physicists has been that Bohr proved victorious, and definitively established the fundamental probabilistic character of quantum measurement.