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NEW CONCEPT OF SOLVABILITY IN QUANTUM MECHANICS
(České vysoké učení technické v PrazeCzech Technical University in Prague, 2013)
In quite a few recent quantum models one is allowed to make a given Hamiltonian H self-adjoint only after an ad hoc generalization of Hermitian conjugation, H†→H‡:= Θ −1H†Θ wherethe suitable operator Θ is called Hilbert-space ...
NOTE ON VERMA BASES FOR REPRESENTATIONS OF SIMPLE LIE ALGEBRAS
(České vysoké učení technické v PrazeCzech Technical University in Prague, 2013)
We discuss the construction of the Verma basis of the enveloping algebra and of finite dimensional representations of the Lie algebra An. We give an alternate proof of so-called Verma inequalities to the one given in [1] ...
EXAMPLES OF QUANTUM HOLONOMY WITH TOPOLOGY CHANGES
(České vysoké učení technické v PrazeCzech Technical University in Prague, 2013)
We study a family of closed quantum graphs described by one singular vertex of order n = 4. By suitable choice of the parameters specifying the singular vertex, we can construct a closed path in the parameter space that ...
gln+1 ALGEBRA OF MATRIX DIFFERENTIAL OPERATORS AND MATRIX QUASI-EXACTLY-SOLVABLE PROBLEMS
(České vysoké učení technické v PrazeCzech Technical University in Prague, 2013)
The generators of the algebra gln+1 in the form of differential operators of the first order acting on Rn with matrix coefficients are explicitly written. The algebraic Hamiltonians for matrix generalization of 3−body ...
THE NUMBER OF ORTHOGONAL CONJUGATIONS
(České vysoké učení technické v PrazeCzech Technical University in Prague, 2013)
After a short introduction to anti-linearity, bounds for the number of orthogonal (skew) conjugations are proved. They are saturated if the dimension of the Hilbert space is a power of two. For other dimensions this is an ...
FOREWORD: THREE QUARTERS A CENTURY
(České vysoké učení technické v PrazeCzech Technical University in Prague, 2013)
Foreword
CFD SIMULATION OF A STIRRED DISHED BOTTOM VESSEL
(České vysoké učení technické v PrazeCzech Technical University in Prague, 2013)
This paper deals with simulation of the fluid flow in a stirred curved-bottom vessel equipped with three curved blade impellers. The power number and the impeller flow rate number are dimensionless characteristics of the ...
HYBRID SHEARWALL SYSTEM — SHEAR STRENGTH AT THE INTERFACE CONNECTION
(České vysoké učení technické v PrazeCzech Technical University in Prague, 2013)
Based on a series of alternating, displacement-controlled load tests on ten one-third scale models, to study the behaviour of the interface of a hybrid shear wall system, it was proved that the concept of hybrid construction ...
Stationary and Dynamical Solutions of the Gross-Pitaevskii Equation for a Bose-Einstein Condensate in a PT symmetric Double Well
(České vysoké učení technické v PrazeCzech Technical University in Prague, 2013)
We investigate the Gross-Pitaevskii equation for a Bose-Einstein condensate in a PT symmetric double-well potential by means of the time-dependent variational principle and numerically exact solutions. A one-dimensional ...
Clock Math — a System for Solving SLEs Exactly
(České vysoké učení technické v PrazeCzech Technical University in Prague, 2013)
In this paper, we present a GPU-accelerated hybrid system that solves ill-conditioned systems of linear equations exactly. Exactly means without rounding errors due to using integer arithmetics. First, we scale floating-point ...