Erwin Schroedinger gained inspiration
... For a given element, the emission lines and the absorption lines occur at the same frequency. This is where quantum mechanics comes in. Here’s the basic idea (which was the product of Niels Bohr, Erwin Schroedinger, and Verner Heisenberg). The atom has a minimum energy state which is called its gro ...
... For a given element, the emission lines and the absorption lines occur at the same frequency. This is where quantum mechanics comes in. Here’s the basic idea (which was the product of Niels Bohr, Erwin Schroedinger, and Verner Heisenberg). The atom has a minimum energy state which is called its gro ...
Teaching the photon gas in introductory physics
... is understandable in the context of a system of noninteracting point particles,1 and its equations of state are tractable mathematically. These virtues of the ideal gas are summarized in Table I. With them come several less desirable characteristics. First, it is based on classical physics or the se ...
... is understandable in the context of a system of noninteracting point particles,1 and its equations of state are tractable mathematically. These virtues of the ideal gas are summarized in Table I. With them come several less desirable characteristics. First, it is based on classical physics or the se ...
I am grateful to Mike Weismann for guiding much of this discussion
... view that seem to better fit Shimony’s interpretation: “…Thus, if information is the most fundamental notion in quantum physics, a very natural understanding of phenomena like quantum decoherence or quantum teleportation emerges. And quantum entanglement is then nothing else than the property of sub ...
... view that seem to better fit Shimony’s interpretation: “…Thus, if information is the most fundamental notion in quantum physics, a very natural understanding of phenomena like quantum decoherence or quantum teleportation emerges. And quantum entanglement is then nothing else than the property of sub ...
Electromagnetic radiation and resonance
... next to impossible. Practically any external action will result in various an’s in (2.1) that will be different from zero, and the state will not be stationary. The examples of (2.10) and (2.15) are only two of an infinite number of possibilities for the nonstationary states of the quantum oscillato ...
... next to impossible. Practically any external action will result in various an’s in (2.1) that will be different from zero, and the state will not be stationary. The examples of (2.10) and (2.15) are only two of an infinite number of possibilities for the nonstationary states of the quantum oscillato ...
Lecture 2 - Tufts University
... • A plane wave in two or three dimensions is like a sine wave in one dimension except that crests and troughs aren't points, but form lines (2D) or planes (3-D) perpendicular to the direction of wave propagation. The Figure shows a plane sine wave in two dimensions. The large arrow is a vector calle ...
... • A plane wave in two or three dimensions is like a sine wave in one dimension except that crests and troughs aren't points, but form lines (2D) or planes (3-D) perpendicular to the direction of wave propagation. The Figure shows a plane sine wave in two dimensions. The large arrow is a vector calle ...
Notes for Lecture 2 Miller Indices, Quantum Mechanics
... To understand this figure, imagine that the wave of an electron in a hydrogen atom is like a wave of a guitar string. Except that the guitar string is a circular string. Imagine that you pick one part of the string (S in the figure). When you do that, a wave propagates in two directions (the red dir ...
... To understand this figure, imagine that the wave of an electron in a hydrogen atom is like a wave of a guitar string. Except that the guitar string is a circular string. Imagine that you pick one part of the string (S in the figure). When you do that, a wave propagates in two directions (the red dir ...
Macroscopicity of Mechanical Quantum Superposition States
... effect a translation s and a velocity boost v of the elementary particle, while gðs; qÞ is a positive, isotropic, and normalized phase-space distribution, whose standard deviations for the position and the momentum variable will be denoted by s and q . The von Neumann equation is reobtained for s ...
... effect a translation s and a velocity boost v of the elementary particle, while gðs; qÞ is a positive, isotropic, and normalized phase-space distribution, whose standard deviations for the position and the momentum variable will be denoted by s and q . The von Neumann equation is reobtained for s ...
Heisenberg uncertainty relations for photons
... nonrelativistic massive particles. However, in one dimension, the inequality (2) is saturated so that in this case there is no difference between photons and massive nonrelativistic particles. We also prove the following sharp inequality: ...
... nonrelativistic massive particles. However, in one dimension, the inequality (2) is saturated so that in this case there is no difference between photons and massive nonrelativistic particles. We also prove the following sharp inequality: ...
Homework 8
... symmetrically located. Although the physical results are independent of the choice of coordinates, the equations often turn out to be much simpler to solve. However, in this problem the algebra is simpler if the barrier runs from 0 to a. Now we have three spatial regions and two energy ranges, E > V ...
... symmetrically located. Although the physical results are independent of the choice of coordinates, the equations often turn out to be much simpler to solve. However, in this problem the algebra is simpler if the barrier runs from 0 to a. Now we have three spatial regions and two energy ranges, E > V ...
Quantum Teleportation Between Discrete and Continuous
... implemented using photon number discriminating detectors. Limited by the current experimental technology of the resource state preparation [18], we work with moderate amplitudes α ∼ 1=2. In this regime, state jΦ− i can be distinguished by simply projecting mode A onto the singlephoton state. Indeed, ...
... implemented using photon number discriminating detectors. Limited by the current experimental technology of the resource state preparation [18], we work with moderate amplitudes α ∼ 1=2. In this regime, state jΦ− i can be distinguished by simply projecting mode A onto the singlephoton state. Indeed, ...
Sects. 2.6 & 2.7
... Periodic: Goes from one turning point to another, turns around & moves until stops at another turning point. Repeats forever. Particle is in one valley or another. Can’t jump from one to another without getting extra energy > E2 (but, in QM: Tunneling!) Turning points: v = 0, T= 0, E2 = U(x). Gives ...
... Periodic: Goes from one turning point to another, turns around & moves until stops at another turning point. Repeats forever. Particle is in one valley or another. Can’t jump from one to another without getting extra energy > E2 (but, in QM: Tunneling!) Turning points: v = 0, T= 0, E2 = U(x). Gives ...
wavefunction (63) obtained by applying Dirac`s factor
... and is manifestly single-valued. In fact it is the exact solution of the problem originally obtained by Aharonovand Bohm (1959), who used a quite different procedure. When the flux is quantised, i.e. when a is an integer,(23)reduces simply to the incident wave (11) multiplied by aphasefactor exp(ia0 ...
... and is manifestly single-valued. In fact it is the exact solution of the problem originally obtained by Aharonovand Bohm (1959), who used a quite different procedure. When the flux is quantised, i.e. when a is an integer,(23)reduces simply to the incident wave (11) multiplied by aphasefactor exp(ia0 ...
Quantum Physics 2005 Notes-4 The Schrodinger Equation (Chapters 6 + 7)
... The general solution vs the specific case The free particle wave -2 • There are an infinite number of possible solutions to the free space Schrodinger equation. All we have found is the relation between the possible time solutions and the possible space solutions. • We need to give more information ...
... The general solution vs the specific case The free particle wave -2 • There are an infinite number of possible solutions to the free space Schrodinger equation. All we have found is the relation between the possible time solutions and the possible space solutions. • We need to give more information ...
powerpoint - University of Illinois Urbana
... (c) So Hirata, Department of Chemistry, University of Illinois at Urbana-Champaign. This material has been developed and made available online by work supported jointly by University of Illinois, the National Science Foundation under Grant CHE-1118616 (CAREER), and the Camille & Henry Dreyfus Founda ...
... (c) So Hirata, Department of Chemistry, University of Illinois at Urbana-Champaign. This material has been developed and made available online by work supported jointly by University of Illinois, the National Science Foundation under Grant CHE-1118616 (CAREER), and the Camille & Henry Dreyfus Founda ...
.
... two-phonon states, j c pn i ¼ 0 jnpn ¼ 0i þ 1 jnpn ¼ 1i þ 2 jnpn ¼ 2i, and from it to the same superposition of single-ion states, one would get 0 j01 02 . . . 0N i þ 1 j01 . . . 1i1 . . . 0N i þ 2 j01 . . . 1i1 1i1 þ1 . . . 0N i. We propose then to perform a standard 2-qubit phase gate upon t ...
... two-phonon states, j c pn i ¼ 0 jnpn ¼ 0i þ 1 jnpn ¼ 1i þ 2 jnpn ¼ 2i, and from it to the same superposition of single-ion states, one would get 0 j01 02 . . . 0N i þ 1 j01 . . . 1i1 . . . 0N i þ 2 j01 . . . 1i1 1i1 þ1 . . . 0N i. We propose then to perform a standard 2-qubit phase gate upon t ...
Bohr model of hydrogen
... its frequency of oscillation. For an electron in state n with energy En , its oscillation frequency is just νn = En /h. Taken together, Bohr’s postulates can be summarized as follows Bohr’s postulates • Quantized angular momentum: L = me vr = n~. • Radiation is only emitted when an atom makes transi ...
... its frequency of oscillation. For an electron in state n with energy En , its oscillation frequency is just νn = En /h. Taken together, Bohr’s postulates can be summarized as follows Bohr’s postulates • Quantized angular momentum: L = me vr = n~. • Radiation is only emitted when an atom makes transi ...
Chapter 3, Lecture 2
... C m + , m - = (-1)l m + , m Now let’s try spin 1 mesons (spin 0, 1, 2). What is the symmetry of spin 0, 2 ? ...
... C m + , m - = (-1)l m + , m Now let’s try spin 1 mesons (spin 0, 1, 2). What is the symmetry of spin 0, 2 ? ...