Resumo Alguns dos problemas de mecânica quântica unidimensional são generalizados em coordenadas esféricas e em dimensão arbitrária.São tratados os problemas do poço de potencial infinito, o oscilador harmônico, a partícula livre, o potencial da função delta de Dirac, o poço de potencial finito e a barreira de potencial finito.As soluções da equação de Schrödinger são escritas em termos das funções de Bessel e Whittaker e relacionadas a teorias físicas multi-dimensionais, como a teoria de cordas.Abstract One dimensional quantum mechanics problems, namely the infinite potential well, the harmonic oscillator, the free particle, the Dirac delta potential, the finite well and the finite barrier are generalized for finite arbitrary dimension in a radially symmetric, or angular invariant, manner. This generalization enables the Schrödinger equation solutions to be visualized for Bessel functions and Whittaker functions, and it also enables connections to multi-dimensional physics theories, like string theory.Palavras-chave: Mecânica quântica, funções de Bessel, delta de Dirac, física em múltiplas dimensões.PACS numbers:
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