The 2005 Nobel Prize in Physics: Optics
... back to the pioneering work of C V Raman (Nobel Prize for the Raman Effect in 1930). In the 1950's there appeared S Pancharatnam's fundamental studies on polarization optics in the course of which he discovered the geometric phase in its earliest form. Then in 1961 came the crystal optics work of G ...
... back to the pioneering work of C V Raman (Nobel Prize for the Raman Effect in 1930). In the 1950's there appeared S Pancharatnam's fundamental studies on polarization optics in the course of which he discovered the geometric phase in its earliest form. Then in 1961 came the crystal optics work of G ...
Spooky Mirror Tricks - Max-Planck
... There isn’t (yet) such a thing as quantum dice, but entangled quantum particles behave similarly: there seems to be a strange connection between them. However, even this image is misleading, as there are no physical forces in play. In addition, only certain properties are ever entangled. For light q ...
... There isn’t (yet) such a thing as quantum dice, but entangled quantum particles behave similarly: there seems to be a strange connection between them. However, even this image is misleading, as there are no physical forces in play. In addition, only certain properties are ever entangled. For light q ...
2 + 1 dimensional gravity as an exactly soluble system
... run into when the vierbein and spin connection are independent variables is that discussed in ref. [10]. We will see later that this is one type of singularity that we will definitely have to allow.) Much of the interest in trying to quantize 2 + 1 dimensional gravity is precisely the question of wh ...
... run into when the vierbein and spin connection are independent variables is that discussed in ref. [10]. We will see later that this is one type of singularity that we will definitely have to allow.) Much of the interest in trying to quantize 2 + 1 dimensional gravity is precisely the question of wh ...
Dirac`s coincidences sixty years on
... As inflation theory contains no detailed fieldtheoretic input, however, it cannot tell us much about the nature of this link. Yet by exploring the possibility that Dirac’s “coincidence” may be a manifestation of the same link, tentative resolutions emerge to a number of long-standing questions in co ...
... As inflation theory contains no detailed fieldtheoretic input, however, it cannot tell us much about the nature of this link. Yet by exploring the possibility that Dirac’s “coincidence” may be a manifestation of the same link, tentative resolutions emerge to a number of long-standing questions in co ...
e3010012
... one needs to derive the generalized entropy-area relation in just a few steps. Recently we have proposed that a New Relativity principle may be operating in Nature which could reveal important clues to find the origins of M theory [1]. We were forced to introduce this new Relativity principle, where ...
... one needs to derive the generalized entropy-area relation in just a few steps. Recently we have proposed that a New Relativity principle may be operating in Nature which could reveal important clues to find the origins of M theory [1]. We were forced to introduce this new Relativity principle, where ...
Acrobat PDF - Electronic Journal of Theoretical Physics
... constants which characterize the effective action of the theory. The price paid is the introduction of a set of never-ending higher order derivative couplings into the theory, unless using the approach of Shiekh [29]. The effective action contains all terms consistent with the underlying symmetries of ...
... constants which characterize the effective action of the theory. The price paid is the introduction of a set of never-ending higher order derivative couplings into the theory, unless using the approach of Shiekh [29]. The effective action contains all terms consistent with the underlying symmetries of ...
THE STANDARD MODEL AND BEYOND: A descriptive account of
... for Yukawa (1935) to suggest a short ranged strong nuclear force. The strong nuclear force overcomes the electromagnetic repulsion inside the nucleus and binds nuclei. A short ranged force requires the exchange of a massive particle. Yukawa, therefore, predicted the mediator of the strong nuclear fo ...
... for Yukawa (1935) to suggest a short ranged strong nuclear force. The strong nuclear force overcomes the electromagnetic repulsion inside the nucleus and binds nuclei. A short ranged force requires the exchange of a massive particle. Yukawa, therefore, predicted the mediator of the strong nuclear fo ...
Transparencies
... Consider a set of N spherical spheres, between which there are shells. This gives rise to a coarse grained geometry In the form of a list: g= {Ai, Vi }. |Gg > is a weave state that matches this ...
... Consider a set of N spherical spheres, between which there are shells. This gives rise to a coarse grained geometry In the form of a list: g= {Ai, Vi }. |Gg > is a weave state that matches this ...
A simple proof of Born`s rule for statistical interpretation of quantum
... function might be analogous to electric field. In his Nobel lecture [3], Born stated, “Again an idea of Einstein’s gave me the lead. He had tried to make the duality of particles - light quanta or photons - and waves comprehensible by interpreting the square of the optical wave amplitudes as probabi ...
... function might be analogous to electric field. In his Nobel lecture [3], Born stated, “Again an idea of Einstein’s gave me the lead. He had tried to make the duality of particles - light quanta or photons - and waves comprehensible by interpreting the square of the optical wave amplitudes as probabi ...
PPTX
... recursive. Gödel numbering satisfies the following uniqueness property: Theorem 8.2: If [a1, …, an] = [b1, …, bn] then ai = bi for i = 1, …, n. This follows immediately from the fundamental theorem of arithmetic, i.e., the uniqueness of the factorization of integers into primes. ...
... recursive. Gödel numbering satisfies the following uniqueness property: Theorem 8.2: If [a1, …, an] = [b1, …, bn] then ai = bi for i = 1, …, n. This follows immediately from the fundamental theorem of arithmetic, i.e., the uniqueness of the factorization of integers into primes. ...
Quantum spin liquids as soft-
... The number of electrons in a BCS wavefunction is not fixed. There can be 0, 1, or 2 electrons in a lattice site. The Gutzwiller projection removes all the double occupied components. An insulator state is obtained when # of electron = # of lattice sites. ...
... The number of electrons in a BCS wavefunction is not fixed. There can be 0, 1, or 2 electrons in a lattice site. The Gutzwiller projection removes all the double occupied components. An insulator state is obtained when # of electron = # of lattice sites. ...
Introduction to Teichmüller Spaces
... biholomorphic maps. There are two types of invariants: • discrete invariants, which arise from topology (for example, genus) • continuous invariants (called moduli ), which come from deforming a conformal structure. ...
... biholomorphic maps. There are two types of invariants: • discrete invariants, which arise from topology (for example, genus) • continuous invariants (called moduli ), which come from deforming a conformal structure. ...
Quantum phase transitions in Kitaev spin models
... We study the quantum phase transitions in the Kitaev spin models on both honeycomb and Fisher (triangle-honeycomb) lattices. Our analytical results show that the Kitaev spin model on the honeycomb lattice exhibits a continuous quantum phase transition. We also reveal the relationship between biparti ...
... We study the quantum phase transitions in the Kitaev spin models on both honeycomb and Fisher (triangle-honeycomb) lattices. Our analytical results show that the Kitaev spin model on the honeycomb lattice exhibits a continuous quantum phase transition. We also reveal the relationship between biparti ...
Gauge-Gravity Duality and the Black Hole Interior
... spacetimes with special boundary conditions. This construction is algorithmic, following from that [3] of the dual field theory (DFT). It has already provided important insights—most notably, black holes evolve according to the rules of ordinary quantum mechanics, at least from the point of view of ...
... spacetimes with special boundary conditions. This construction is algorithmic, following from that [3] of the dual field theory (DFT). It has already provided important insights—most notably, black holes evolve according to the rules of ordinary quantum mechanics, at least from the point of view of ...
Atom: Program 3 - Educational Resource Guide
... and wonderful shapes. Then, guided by his unshakable belief that nature's laws must be beautiful, Dirac honed in one equation, an entirely new description of what goes on inside the atom. Dirac knew it was right because it had mathematical beauty. Here it is, the Dirac Equation. Don't try and unders ...
... and wonderful shapes. Then, guided by his unshakable belief that nature's laws must be beautiful, Dirac honed in one equation, an entirely new description of what goes on inside the atom. Dirac knew it was right because it had mathematical beauty. Here it is, the Dirac Equation. Don't try and unders ...
Numerical Renormalization Group methods with Matrix Product States
... Generalizations of AKLT-states (Finitely correlated states, Fannes, Nachtergaele, Werner ‘92) Gives a LOCAL description of a multipartite state Translational invariant by construction Guaranteed to be ground states of gapped local quantum Hamiltonians The number of parameters scales linearly in N (# ...
... Generalizations of AKLT-states (Finitely correlated states, Fannes, Nachtergaele, Werner ‘92) Gives a LOCAL description of a multipartite state Translational invariant by construction Guaranteed to be ground states of gapped local quantum Hamiltonians The number of parameters scales linearly in N (# ...
