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PHYS 2100 Final Examination Introduction to Methods of Theoretical Physics Fall 1998
PHYS 2100 Final Examination Introduction to Methods of Theoretical Physics Fall 1998

... You have three hours to complete this exam. There are a total of seven problems. Solve as much of them as you can, but the point total is greater than 100, so “extra credit” is possible. Not all the problems are worth the same number of points. You may use your textbooks and class notes and handouts ...
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... particles. It is evident that when i\ < l the concepts of a continuous medium and of a refractive index independent of the position cease to be correct. Thus, if the average interparticle distance is l - N- 1/ 3 , where N is the number of electrons per unit volume, the applicability of the "refracti ...
Balmer Series
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... Obj: Determine the photon energy in Joules and the quantum number of the electrons returning to n = 2 (Balmer Series) in the hydrogen atom. Introduction The spectrum of hydrogen is particularly important in astronomy because most of the Universe is made of hydrogen. Emission or absorption processes ...
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Equality and Identity and (In)distinguishability in Classical and Quantum Mechanics from the Point of View of Newton's Notion of State
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... same mass at rest, electrical charge, modulus of spin, etc.; Pauli’s exclusion principle: 2 electrons di¤er in at least one quantum number –however: it does not say, which electron is in which state (entanglement); The quanta occupying an oscillator loose their individuality: Say, 12 quanta in state ...
On v^ 2/c^ 2 expansion of the Dirac equation with external potentials
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... d, for the diffraction grating. For this part you will not be using the power supply shown above. There should be another power supply on the table that has a sodium lamp attached to it. Turn on the lamp and align it in front of the slit. Align the eyepiece so that it is along the main axis. In look ...
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... Case 2) Particles are not at rest before annihilation If the particles are at not rest before annihilation (this means that the particles have kinetic energy) then the total mass of each particle will be greater that their corresponding rest masses and therefore the total energy of each particle wi ...
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... number of internal quantum numbers. These center of mass motions when the "particle" is confined to a box give rise to the translational heat capacity expression we will derive in the statistical mechanic portion of the course. We will always implicitly separate out the center of mass motion in the ...
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... electrolyte solution theory techniques, especially the charging process. Besides the acknowledged neglect of exchange energy, which can readily be inserted into the development, it is perhaps also worth noting here that another conceptually desirable refinement could also be incorporated, although f ...
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... for diminishing of orbital velocity of binary neutron stars PSR B1913+16 which is caused by mass transforming into quantum vacuum energy. This interpretation does not predict that mass can have emission of gravitational waves which have not been observer experimentally yet. ...
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... The Fisher-Shannon information and a statistical measure of complexity are calculated in the position and momentum spaces for the wave functions of the H-atom. For each level of energy, it is found that these two indicators take their minimum values on the orbitals that correspond to the classical ( ...
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... We will see shortly, that short wavelengths are more energetic. ...
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... 3-dimensional box). We were able to write the Laplacian, ∇ 2, in terms of Cartesian coordinates, assuming ψ to be a product of 1-dimensional wavefunctions. By separation of variables, we were able to separate the Schrödinger Eq. into three 1dimensional eqs. & to solve them. In order to discuss the m ...
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... This absorption and subsequent emission process takes place only at a certain frequency w0 (Larmor frequency) for the RF-signal. That particular frequency is called the magnetic resonance of the isotope. At this frequency a large number of excitation processes take ...
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... and −m [cf. Eq (7)] are linearly independent, so both must be accepted. Therefore all eigenvalues, except E0 , are two-fold (or doubly) degenerate. The eigenfunctions can all be written in the form const eimφ , with m allowed to take either positive and negative values (or 0), as in Eq (10). The nor ...
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... can have a diameter of 8.5 mm (as compared with a maximum diameter of about 7.0 mm for humans). In addition, an owl’s eye is about 100 times more sensitive to light of low intensity than a human eye, allowing owls to detect light with an intensity as small as 5.0 × 10 −13 W / m 2 . Find the minimum ...
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Another version - Scott Aaronson

... (2) a classical computer probably couldn’t even verify the results! Theoretical Challenge: Argue that, even with photon losses and messier initial states, you’re still solving a classically-intractable sampling problem ...
2008 midtermkey - University of Victoria
2008 midtermkey - University of Victoria

... Page 8 of 8 6. [2 MARKS] Write out the full electron configuration (i.e. not the condensed electron configuration) for the cobaltous ion Co2+. Co is 1s22s22p63s23p63d74s2 Then remove the outer two electrons to give the correct charge. Co2+ is this 1s22s22p63s23p63d7 ...
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... Unitary representations of the Poincaré group P underlie all physical theories that obey the principles of special relativity and quantum mechanics. The Poincaré group is also fundamental to classical relativistic physics. In this context, Dirac considered the problem of describing interactions betw ...
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Basic concepts in quantum mechanics

... obvious at first sight, and even not at second or third sights... So their justification is more indirect, but a powerful one: they work. We will follow the most pragmatical point of view: whatever crazy its axioms sound, quantum mechanics, as a matter of fact, has correctly predicted essentially an ...
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Wave–particle duality

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