65 citations · 157 across the 16 of their papers we have counts for
16 papers
Exact propagating Dirac wave packets in an attractive Coulomb-like potential
Siddhant Das
We construct exact, positive-energy, normalizable wave-packet solutions of the Dirac equation in the axisymmetric potential -- to our knowledge, the first such solutio…
Spin-aware movement of electrons and time-of-flight momentum spectroscopy
Siddhant Das
In the framework of the de Broglie-Bohm pilot-wave theory, or Bohmian mechanics, we examine two pedagogical problems that illustrate the bound and unbound motion of spin-1/2 partic…
Comment on "the Spin Dependence of Detection Times and the Nonmeasurability of Arrival Times"
Siddhant Das, Serj Aristarhov
We respond to the recent article by S. Goldstein, R. Tumulka, and N. Zanghì [arXiv:2309.11835] concerning the spin-dependent arrival-time distributions reported in [S. Das and D. D…
Detlef Dürr, arrival-time distributions, and spin in Bohmian mechanics: Personal recollections and state-of-the-art
Siddhant Das
I recount here my association with Prof. Detlef Dürr leading to our memorable research collaboration on arrival-time distributions in quantum mechanics. He influenced my life, both…
Double-slit experiment revisited
Siddhant Das, Dirk-André Deckert, Leopold Kellers +2
The double-slit experiment is one of the quintessential quantum experiments. However, it tends to be overlooked that a theoretical account of this experiment requires the specifica…
Comment on the "Significance of Electromagnetic Potentials in the Quantum Theory"
Siddhant Das
A missing angle-dependent prefactor in the wave functions for half-integer magnetic flux obtained in [Y. Aharonov and D. Bohm, Phys. Rev. 115, 485 (1959)] is supplied, without whic…
Relativistic electron wave packets featuring persistent quantum backflow
Siddhant Das
Closed-form, normalizable solutions of Dirac's equation propagating within a semi-infinite cylindrical waveguide are obtained in terms of ordinary and modified Bessel functions. Th…
Questioning the adequacy of certain quantum arrival-time distributions
Siddhant Das, Ward Struyve
It is shown that a class of exponentially decaying time-of-arrival probability distributions suggested by Włodarz, Marchewka and Schuss, and Jurman and Nikolić, as well as a semicl…
Times of Arrival and Gauge Invariance
Siddhant Das, Markus Nöth
We revisit the arguments underlying two well-known arrival-time distributions in quantum mechanics, viz., the Aharonov-Bohm and Kijowski (ABK) distribution, applicable for freely m…
Exotic Bohmian arrival times of spin-1/2 particles I-An analytical treatment
Siddhant Das, Markus Nöth, Detlef Dürr
It is well known that orthodox quantum mechanics does not make unambiguous predictions for the statistics in arrival time (or time-of-flight) experiments. Bohmian mechanics (or de…
Quantum First Passage Time Problem-A Bohmian Perspective
Siddhant Das
The prediction of arrival time or first passage time statistics of a quantum particle is an open problem, which challenges the foundations of quantum theory. One of the most promis…
Arrival Time Distributions of Spin-1/2 Particles
Siddhant Das, Detlef Dürr
The arrival time statistics of spin-1/2 particles governed by Pauli's equation, and defined by their Bohmian trajectories, show unexpected and very well articulated features. Compa…
Exact energy quantization condition for single Dirac particle in one-dimensional (scalar) potential well
Siddhant Das
We present an exact quantization condition for the time independent solutions (energy eigenstates) of the one-dimensional Dirac equation with a scalar potential well that gives onl…
Bound states of a two-dimensional electron gas in inhomogeneous magnetic fields
Siddhant Das
We study the bound states of a two dimensional free electron gas (2DEG) subjected to a perpendicular inhomogeneous magnetic field. An analytical transfer matrix (ATM) based exact q…
Tunneling Through a One-Dimensional Piece Wise Constant Potential Barrier
Siddhant Das
In this paper we look at transmission through one-dimensional potential barriers that are piece wise constant. The Transfer Matrix approach is adopted and a new formula is derived…
Exact Solution for One Dimensional Multibarrier Tunneling
Siddhant Das
Quantum tunneling across multiple barriers as yet is an unsolved problem for barrier numbers greater than five. The complexity of the mathematical analysis even for small number of…