Supersymmetric Quantum Mechanics
Equivalence of Tensor Product and Partner Hamiltonian Formalism in Supersymmetric Quantum Mechanics
... In this article we first write a brief review of supersymmetric quantum mechanics and then we discuss the equivalence of two co-existing formalisms viz. tensor product formalism and partner ...
21
A New Mathematical Proposal for Generation of Shape Invariant Potentials and Optical Medium Using Supersymmetric Quantum Mechanics
... notation. Supersymmetric quantum mechanics (SUSYQM) allows us to write a pair of supersymmetric potentials as follows (¯ h = m = 1) [3] V ± (x) = W 2 (x) ± W (x), (5) where W (x) is a function ...
11
Using supermodels in quantum optics
... within supersymmetric quantum mechanics, so-called basic versions of coherent states, and their relations to discretized Schr¨odinger equations on time ...on supersymmetric Schr¨odinger ...
14
THE SHAPE INVARIANCE CONDITION
... The aim of supersymmetric quantum mechanics, nowadays called SUSY QM, is to find new solutions of the Schroedinger equation.The shape invariant condition is a basic tool which enables us, in the ...
9
A New Paradox in Quantum Mechanics
... in quantum mechanics. It defined the basic features of two-quantum entanglement, as needed to study the relationships between two non-commuting ...Either quantum behavior is capable of ...
6
Locality, probability and quantum mechanics
... Before leaving (unresolved) the question of how probabilities are to be physically interpreted, I shall mention briefly the interpretation of de Finetti [1974; see especially §§3, 5, 7] based on the idea that probability ...
153
Bohmian Quantum Mechanics Revisited
... the quantum telegraph equation that was recently shown to yield quantum mechanical identifications of quantum particles ...original quantum telegraph equation, but the phase (S) satisfies the ...
11
Astrophysical Applications of Quantum Mechanics
... fluid. They are described by wave solutions given in (5.25) and (5.45), and cor- respond to heat waves propagating along the vortex or magnetic field due to the quantum anomalies. We reproduced a general form of ...
110
A gravitational theory of quantum mechanics
... Using the 4-geon model, an orthomodular lattice of propositions, characteristic of quantum mechanics, is formally constructed within the framework of classical general relativity.. The m[r] ...
130
Mixing quantum and classical mechanics
... between quantum and classical vari- ables is due to Ehrenfest @28# who showed that the equation of motion for the average values of quantum observables coincides with the corresponding classical ...of ...
15
A Non Simple and Not Completed History of Quantum Mechanics and Really Long History of Resolving the Problem of Time as a Quantum Observable
... Essentially because of these reasons, earlier Pauli (see, for instance, [18]) rejected the use of a time operator: and this had the result of practically stopping studies on this subject for near 40 - 50 years (because ...
15
Computational Algebraic Geometry and Quantum Mechanics: An Initiative toward Post-Contemporary Quantum Chemistry
... If you are researchers or students with the expertise of physics or chemistry, you might have heard of “algebraic geometry” or “commutative algebra”. Maybe you might have heard only of these words, and you might not have ...
106
Traintracks through Calabi-Yau Manifolds: Scattering Amplitudes beyond Elliptic Polylogarithms
... Conclusions. — We have defined a class of “ traintrack ” integrals (1) that increase in complexity with increasing loop order, from dilogarithms at one loop to elliptic behavior at two loops to a K3 at three loops and a ...
7
Conjugates, Filters and Quantum Mechanics
... quaternionic quantum theory suggests that it is too ...(complex) quantum systems can very naturally be modelled in terms of the corresponding real or, respectively, quaternionic Hilbert ...
33
The pursuit of locality in quantum mechanics
... I leave insisted on the difficulties presented by the non-localisation of the particle and the subjective character of the wave packet, e/ , in the contemporary interpretation, but thus [r] ...
153
Time Operator in Quantum Mechanics
... in quantum mechanics (non-relativistic) but also determine its Eigen value, commutation relation of its square with energy and some of the properties of time operator like either it is Hermitian or not, ...
6
Negative Observations in Quantum Mechanics
... in quantum mechanics the act of taking a measurement in principle is linked to, and often affects, the physical world which is being ...in quantum mechanics can be explored further by ...
32
A Process Model of Quantum Mechanics
... Finkelstein’s quantum relativity, Noyes’s bit-string physics, Bastin and Kilmister’s combinatorial physics, Hiley’s process physics [8] ...standard quantum mechanics is not ...in quantum ...
8
Spatial Meaning of Quantum Mechanics
... of quantum mechanics if the principle is an objectively general law? So far, we have known that the noncommuting properties of the operators of ob- servables result in uncertainty relations, and these ...
11
Polyhedral symmetry and quantum mechanics
... to Quantum Mechanics, which is the physics of the ...micro-world. Quantum Mechanics was em- ployed later in these models, and their applicability and accuracy of results were limited as ...
13