Since, unlike “traditional” physics, computational physics uses the discretization formalism, in this paper we have focused our attention on the discrete approach in order to solve the Schrödinger as well as the Bloch equations for a free particle and the “quantum gas” of free particles in an infinite quantum well with the finite length, respectively. By applying the so called continuous quantum mechanics limit we recover the corresponding results in continuous-variable quantum mechanics. For the infinite quantum well model we formulated the associated coherent states, which lead to the expression for the coherent qubits, in counterpart to the thermal qubits, obtained as a result of using the thermofield dynamics model. Thus, a “bridge” is created between the infinite quantum well model, coherent states and thermofield dynamics, which ultimately converge towards Quantum Computing.
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Discretized Infinite Potential Well and Their Associated Coherent States
Author Information
Received: 25 Dec 2025 | Revised: 12 Feb 2026 | Accepted: 09 Mar 2026 | Published: 20 Mar 2026
Abstract
Keywords
difference equation | quantum well | density matrix | coherent states | qubits
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