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pavelstransky.cz

Pavel Stránský - Errors in the calculation of the eigenstates

http://www.pavelstransky.cz/errors_quant_a0.php

Err (Estimate of A0). Last updated: 20.7.2016. Errors in the calculation of the eigenstates. Figure 1: Trace of the Hamiltonian matrix. The Hamiltonian matrix is constructed in the oscillator basis with a parameter A. 0 The best value is A. 0min/2 (it roughly corresponds with the position of the minimum of the trace). Figure 2: Energy versus the ordering number of the energy level. Various lines correspond to various A. 0 have the same value. Figure 3: Eigenvector convergence. Figure 4: Peres lattices.

pavelstransky.cz

Pavel Stránský - Cvičení k přednášce QM 1

http://www.pavelstransky.cz/cviceniqm1.php

Err (Estimate of A0). Last updated: 20.7.2016. Cvičení k přednášce Kvantová mechanika I. Podrobný plán přednášky a doprovodné materiály naleznete na stránkách přednášejícího prof. Pavla Cejnara zde. Příklady a domácí úkoly. Vektorové prostory, matice, vlastní čísla. Komutátory, exponenciála matice. Posunovací operátory, harmonický oscilátor. Potenciály s δ funkcemi I. Potenciály s δ funkcemi II. Grupy a symetrie I. Grupy a symetrie II. Vše v jednom souboru (příklady úkoly) můžete stáhnout tady (pdf).

pavelstransky.cz

Pavel Stránský - ESQPT

http://www.pavelstransky.cz/esqpt.php

Err (Estimate of A0). Last updated: 20.7.2016. Rsaquo;››. 2 2n 0.0015. 2 2p 0.0015. 2 9n 0.003. 2 9n 0.0015. 1 16n 0.003. 1 16n 0.0015. Level dynamics of a 2D system for the study of ESQPT. Level dynamics for B. 1 Thick red lines correspond to the position of the deformed minimum, spherical minimum, and the barrier between them. Vertical blue lines mark the spinodal point A. 0 and the critical point A. 1/4 The antispinodal point sits at A. Level dynamics of transformed spectrum E.

pavelstransky.cz

Pavel Stránský - Peres lattices for various values of the classicality parameter hbar

http://www.pavelstransky.cz/peres_B.php

Err (Estimate of A0). Last updated: 20.7.2016. Peres lattices for various values of hbar. Rsaquo;››. On the same energy interval as the Peres lattice bellow. On the same energy interval as the Peres lattice bellow. On the same energy interval as the Peres lattice bellow. On the same energy interval as the Peres lattice bellow. Peres lattice for the lowest 3000 states. Basis type: E. Peres lattice for the lowest 3000 states. Basis type: E. Peres lattice for the lowest 3000 states. Basis type: E.

pavelstransky.cz

Pavel Stránský - Energy levels and wave functions

http://www.pavelstransky.cz/levels.php

Err (Estimate of A0). Last updated: 20.7.2016. Energy levels and wave functions. E(38) = -0.00012. Rsaquo;››. Figure 1: 150 lowest energy levels. Section γ=0 of the potential energy surface is drawed by the yellow curve. The blue thick line indicates the selected level; the orange thick line corresponds with the energy above that the chaotic dynamics appears. The red curves show the lowest energy states in the harmonic approximation of the bottom of the potential. Figure 2: Peres lattice of operator L.

pavelstransky.cz

Pavel Stránský - Minimum and maximum value of the classical Peres invariant

http://www.pavelstransky.cz/peres_minmax.php

Err (Estimate of A0). Last updated: 20.7.2016. Minimum and maximum value of the classical Peres invariant. Calculated using the sections of regularity. Grey lines indicate the global minimum of the regularity at B. Asymp;0.24 and a local minimum at B. Figure 2: Minimum and maximum value of the classical Peres invariant L. In the vicinity of B. The fluctuation of the minimum value of the Peres invariant on the interval 0.45≤ B.

pavelstransky.cz

Pavel Stránský - Dependence of the error of the Brody parameter on the way of the calculation

http://www.pavelstransky.cz/errors_quant_freg.php

Err (Estimate of A0). Last updated: 20.7.2016. Dependence of the error of ω on the way of the calculation. Figure 1: Dispersion of adjunct of the Brody parameter 1-ω. Thick red line corresponds with the mean value of the result. Grey lines indicate the beginning and the end of the interval used for the calculation of one ω (the interval contains 1000 energy levels). Blue lines show the dispersion of the fit at each point. Figure 2: Dependence on the number of levels used for the calculation of one ω.

pavelstransky.cz

Pavel Stránský - Classical freg(E)

http://www.pavelstransky.cz/freg_E_clas.php

Err (Estimate of A0). Last updated: 20.7.2016. Classical measure of regularity freg(E). Rsaquo;››. All sections at one B. Figure 1: freg (B=0.62, E). The same as in Figure 1, but in different scale. Calculated using the sections of regularity (see Figure 2). Figure 2: Section of regularity. 0 calculated on a 100 x 100 grid. A trajectory is started at each point of the grid and the SALI. Method is used to distinguish regular (blue colour) from chaotic (red colour) trajectories.

pavelstransky.cz

Pavel Stránský - Personal website

http://www.pavelstransky.cz/index.php?lang=en

Err (Estimate of A0). Last updated: 20.7.2016. Current affiliation (2014 - now). Master and PhD studies. Investigador asociado "C" de tiempo completo. Institute of Particle and Nuclear Physics. Instituto de Ciencias Nucleares. European Centre for Theoretical Studies. In Nuclear Physics and Related Areas. Faculty of Mathematics and Physics. Universidad Nacional Autónoma de México. Charles University in Prague. CZ-180 00 Praha 8. CP 04510 México D.F. Strada delle Tabarelle 286. Classical and quantum chaos.

pavelstransky.cz

Pavel Stránský - Osobní stránky

http://www.pavelstransky.cz/index.php?lang=cz

Naposledy aktualizováno: 20.7.2016. Současné pracoviště (2014 - nyní). Mgr a Ph.D. studium. Investigador asociado "C" de tiempo completo. Ústav částicové a jaderné fyziky. Instituto de Ciencias Nucleares. European Centre for Theoretical Studies. In Nuclear Physics and Related Areas. Universidad Nacional Autónoma de México. Universita Karlova, Praha. 180 00 Praha 8. CP 04510 México D.F. Strada delle Tabarelle 286. Klasický a kvantový chaos. Geometrický kolektivní model (GCM),. Juan Carlos López Vieyra.