Exactly Solvable Problems in Quantum Mechanics
... although the algebras used are in large majority of cases sl(2) or related algebras, there are several independent ways of using these algebras to obtain the exact solutions. There is large difference between the classical method using constants of motion and all the other methods. Depending on the ...
... although the algebras used are in large majority of cases sl(2) or related algebras, there are several independent ways of using these algebras to obtain the exact solutions. There is large difference between the classical method using constants of motion and all the other methods. Depending on the ...
Variable Separation and Exact Solutions for the Kadomtsev
... In order to obtain nontrivial solution of separation of variables, we demand that f ( y ) and g ( z ) are not all constant. The left side of Equation (6) only depends on variable y, and this has nothing to do with variable z. The right side of Equation (6) is two order linear ordinary differential e ...
... In order to obtain nontrivial solution of separation of variables, we demand that f ( y ) and g ( z ) are not all constant. The left side of Equation (6) only depends on variable y, and this has nothing to do with variable z. The right side of Equation (6) is two order linear ordinary differential e ...
Quantum fluctuations and thermodynamic processes in the presence of closed... by Tsunefumi Tanaka
... In recent years the physics of time travel has been hotly debated. The study of time travel falls into two categories: the (im)possibility argument on time travel and the exploration of physical effects due to time travel if it is possible. The first part of this thesis deals with a physical process ...
... In recent years the physics of time travel has been hotly debated. The study of time travel falls into two categories: the (im)possibility argument on time travel and the exploration of physical effects due to time travel if it is possible. The first part of this thesis deals with a physical process ...
Application of Quantum Computing principles to Natural Language Processing
... are presented which the familiar reader can skip. This chapter is then followed by a broad analysis of various search and optimization techniques used classically in NLP. The intent of this section is two-fold. First, the unfamiliar reader can familiarize himself about the presented techniques. Seco ...
... are presented which the familiar reader can skip. This chapter is then followed by a broad analysis of various search and optimization techniques used classically in NLP. The intent of this section is two-fold. First, the unfamiliar reader can familiarize himself about the presented techniques. Seco ...
- Philsci
... significantly from zero, the larger is the interval in which its Fourier transform differs from zero, in such a way that equation (1) must be satisfied. The Uncertainty Relation between position and momentum, therefore, is understood as a direct consequence of the mathematical, formal properties of ...
... significantly from zero, the larger is the interval in which its Fourier transform differs from zero, in such a way that equation (1) must be satisfied. The Uncertainty Relation between position and momentum, therefore, is understood as a direct consequence of the mathematical, formal properties of ...
Maritime Applications of Quantum Computation
... 1) The qubit: In classical computation, information is stored and manipulated in the form of bits. The mathematical structure of a classical bit is rather simple. It suffices to define two ‘logical’ values, traditionally labelled as {0, 1}, and to relate these values to two different outcomes of a c ...
... 1) The qubit: In classical computation, information is stored and manipulated in the form of bits. The mathematical structure of a classical bit is rather simple. It suffices to define two ‘logical’ values, traditionally labelled as {0, 1}, and to relate these values to two different outcomes of a c ...
Quantum error-correction in black holes
... a hyperbolic network, representing the two asymptotically AdS boundaries. This n extends infinitely from the UV into the IR thermal scale at the black hole horizon. the middle is flat representing the black hole interior. The entire network grows as by adding more layers in the middle flat region. ...
... a hyperbolic network, representing the two asymptotically AdS boundaries. This n extends infinitely from the UV into the IR thermal scale at the black hole horizon. the middle is flat representing the black hole interior. The entire network grows as by adding more layers in the middle flat region. ...
F(x, y, z)
... for some constant c, where r = xi + y j + z k. Find the work done by F in moving an object from a point PI along a path to a point Pz in terms of the distances dl and dz from these points to the origin. (b) An example of an inverse square field is the gravitational field F = -(mMG)r/1 r 13 discussed ...
... for some constant c, where r = xi + y j + z k. Find the work done by F in moving an object from a point PI along a path to a point Pz in terms of the distances dl and dz from these points to the origin. (b) An example of an inverse square field is the gravitational field F = -(mMG)r/1 r 13 discussed ...
Quantum Entanglement in Many-body Systems
... . The some average value of the interaction V and density of states at the Fermi level NF , it is known that ∆k ∝ exp (−1/NF V ) which vanishes when V → 0. However, in the strong interaction limit Ek À εk , the cooper pairs are maximally entangled in the ground state. Furthermore, we see that the en ...
... . The some average value of the interaction V and density of states at the Fermi level NF , it is known that ∆k ∝ exp (−1/NF V ) which vanishes when V → 0. However, in the strong interaction limit Ek À εk , the cooper pairs are maximally entangled in the ground state. Furthermore, we see that the en ...
Quantum information or quantum coding? - Philsci
... efficient way; in this context, the algorithmic complexity measures the minimum resources needed to effectively reconstruct an individual message (Solomonoff 1964, Kolmogorov 1965, 1968, Chaitin 1966). By contrast, in the traditional communicational context, whose classical locus is Claude Shannon’s ...
... efficient way; in this context, the algorithmic complexity measures the minimum resources needed to effectively reconstruct an individual message (Solomonoff 1964, Kolmogorov 1965, 1968, Chaitin 1966). By contrast, in the traditional communicational context, whose classical locus is Claude Shannon’s ...
2 + 1 dimensional gravity as an exactly soluble system
... by considering X - / F ' instead of X +/F', we can obtain flat space-times with a final singularity. These space-time models depend on the 6 g - 6 real moduli of a Riemann surface of genus g (which enter in the choice of F'). Are these all of the flat space-times in which "space" is of genus g? Cert ...
... by considering X - / F ' instead of X +/F', we can obtain flat space-times with a final singularity. These space-time models depend on the 6 g - 6 real moduli of a Riemann surface of genus g (which enter in the choice of F'). Are these all of the flat space-times in which "space" is of genus g? Cert ...
Deformed Generalization of the Semiclassical Entropy
... distribution refers to a special type of probability: that for simultaneous but approximate location of position and momentum in phase space [21]. The uncertainty principle manifests itself through the inequality 1 ≤ W , which was first conjectured by Wehrl [19] and later proved by Lieb [23]. The us ...
... distribution refers to a special type of probability: that for simultaneous but approximate location of position and momentum in phase space [21]. The uncertainty principle manifests itself through the inequality 1 ≤ W , which was first conjectured by Wehrl [19] and later proved by Lieb [23]. The us ...
3.14. The model of Haldane on a honeycomb lattice
... state, including the quantized Hall conductivity and the existence of the edge states. The key differences between the model of Haldane and the quantum Hall effects are (1) the B field is on average zero in the model of Haldane while the QHE has a uniform B field and (2) there is a very strong latti ...
... state, including the quantized Hall conductivity and the existence of the edge states. The key differences between the model of Haldane and the quantum Hall effects are (1) the B field is on average zero in the model of Haldane while the QHE has a uniform B field and (2) there is a very strong latti ...